Rodolfo C Rocha1,2, Shenghui Zhong1,3, Leilei Xu1, Xue-Song Bai1, Mário Costa2, Xiao Cai4, Haisol Kim4, Christian Brackmann4, Zhongshan Li4, Marcus Aldén4. 1. Division of Fluid Mechanics, Lund University, 221 00 Lund, Sweden. 2. Instituto de Engenharia Mecânica (IDMEC), Instituto Superior Técnico (IST), Universidade de Lisboa, 1049-001 Lisboa, Portugal. 3. State Key Laboratory of Engines, Tianjin University, 135 Yaguan Road, Tianjin 300350, People's Republic of China. 4. Division of Combustion Physics, Lund University, 221 00 Lund, Sweden.
Abstract
This paper presents a joint experimental and numerical study on premixed laminar ammonia/methane/air flames, aiming to characterize the flame structures and NO formation and determine the laminar flame speed under different pressure, equivalence ratio, and ammonia fraction in the fuel. The experiments were carried out in a lab-scale pressurized vessel with a Bunsen burner installed with a concentric co-flow of air. Measurements of NH and NO distributions in the flames were made using planar laser-induced fluorescence. A novel method was presented for determination of the laminar flame speed from Bunsen-burner flame measurements, which takes into account the non-uniform flow in the unburned mixture and local flame stretch. NH profiles were chosen as flame front markers. Direct numerical simulation of the flames and one-dimensional chemical kinetic modeling were performed to enhance the understanding of flame structures and evaluate three chemical kinetic mechanisms recently reported in the literature. The stoichiometric and fuel-rich flames exhibit a dual-flame structure, with an inner premixed flame and an outer diffusion flame. The two flames interact, which affects the NO emissions. The impact of the diffusion flame on the laminar flame speed of the inner premixed flame is however minor. At elevated pressures or higher ammonia/methane ratios, the emission of NO is suppressed as a result of the reduced radical mass fraction and promoted NO reduction reactions. It is found that the laminar flame speed measured in the present experiments can be captured by the investigated mechanisms, but quantitative predictions of the NO distribution require further model development.
This paper presents a joint experimental and numerical study on premixed laminar ammonia/methane/air flames, aiming to characterize the flame structures and NO formation and determine the laminar flame speed under different pressure, equivalence ratio, and ammonia fraction in the fuel. The experiments were carried out in a lab-scale pressurized vessel with a Bunsen burner installed with a concentric co-flow of air. Measurements of NH and NO distributions in the flames were made using planar laser-induced fluorescence. A novel method was presented for determination of the laminar flame speed from Bunsen-burner flame measurements, which takes into account the non-uniform flow in the unburned mixture and local flame stretch. NH profiles were chosen as flame front markers. Direct numerical simulation of the flames and one-dimensional chemical kinetic modeling were performed to enhance the understanding of flame structures and evaluate three chemical kinetic mechanisms recently reported in the literature. The stoichiometric and fuel-rich flames exhibit a dual-flame structure, with an inner premixed flame and an outer diffusion flame. The two flames interact, which affects the NO emissions. The impact of the diffusion flame on the laminar flame speed of the inner premixed flame is however minor. At elevated pressures or higher ammonia/methane ratios, the emission of NO is suppressed as a result of the reduced radical mass fraction and promoted NO reduction reactions. It is found that the laminar flame speed measured in the present experiments can be captured by the investigated mechanisms, but quantitative predictions of the NO distribution require further model development.
The growing demand of energy and the urgent
need of reducing the
emission of greenhouse gases are the main drivers of the development
of disruptive technologies for clean power production. For land-based
applications, solar-, wind-, and biomass-based energy production systems
have been developed extensively.[1] For other
applications, such as maritime transportation, vehicles, and power
generation in places depleted of natural resources, other solutions
must be implemented, and as a result of the requirements in terms
of energy density and reliability, the use of combustion systems running
carbon-neutral or carbon-free fuels has been suggested.[2−5]Ammonia (NH3) is considered a possible candidate
fuel
in the future carbon-free energy system.[2,3] It is cost-effective
to produce, being mainly formed by the traditional Haber–Bosch
process, using hydrogen (H2) as a source. Despite generating
carbon dioxide (CO2) with this method, especially when
hydrogen comes from natural gas reforming, a wide variety of available
generation processes, including some that are considered ”green”,
using renewable sources, or ”blue”, which include carbon
capture, are capable of mitigating these emissions. Ammonia is also
safe and simple to transport and store, especially when compared to
other carbon-free fuels, such as hydrogen, as a result of its low
reactivity and low pressure of condensation, which allows it to be
stored in liquid form at ambient temperature and pressure as low as
10 bar. Moreover, as a consequence of its widespread use in the fertilizer
industry, a mature network of production, handling, transportation,
and storage is already established worldwide.[2,3]In combustion systems, however, the oxidation of ammonia presents
a series of challenges as a result of its unique characteristics.
First, as a result of its low reactivity, pure ammonia shows low laminar
burning velocities, long ignition delay times, and problematic flame
stabilization. Second, it generates high levels of nitrogen oxides,
mostly by the fuel NO route, as well as harmful unburned ammonia emissions
in real combustion systems, thus requiring new or adapted methods
of firing or post-flame catalysis systems to be applied safely. Ammonia
has been tested in several real-life applications over the years,
and more recently, the interest in decarbonation led to several applied
studies. For internal combustion engines, works on both spark-ignition
(SI)[6−10] and compression-ignition (CI)[11−13] systems were reported, making
use of some advantageous characteristics of ammonia, such as its high
energy density in liquid form. Commercially, a dual-fuel ammonia two-stroke
marine combustion engine is already in development.[14] For SI engines, the high octane number of NH3 makes it an interesting option, while its characteristics of low
reactivity can be mitigated by its mixing with[6,8] or
partial cracking into hydrogen,[9,15] optimizing its performance.
Mørch et al.[6] found that, in a SI
engine, fuel mixtures with 10%vol H2 present
better performance than pure NH3 firing or with higher
concentrations of H2, also noticing lower NO emissions for fuel/air equivalence ratios from 1.1
to 1.4. More recently, Lhuillier et al.[10] studied the heat-release profiles when blending ammonia with methane
(CH4) and hydrogen in a single-cylinder SI engine. Reiter
and Kong,[11] on the other hand, were some
of the first to explore ammonia in CI engines, who demonstrated the
feasibility of diesel–ammonia blends, despite the difficulty
in igniting the mixtures, also determining that, for up to 60% of
ammonia in energy load, NO emissions
did not increase significantly; it was also detected, however, that
unburned hydrocarbon emissions increased. Similar conclusions were
drawn by Ryu et al.,[12] who tested ammonia/dimethyl
ether (DME) mixtures. It is worth noticing that most works on combustion
engines found in the literature use dual-fuel approaches. Pure ammonia
firing, as a result of its difficulty of ignition, low flame speed,
and low reactivity, was seldom reported.[7,13] In this context,
novel methods are needed to improve the flame speed.[7]Another combustion application being considered suitable
for ammonia
is that of stationary gas turbines. Kurata et al.[16] reported a study of NH3/air and NH3/CH4/air premixed flames in a micro gas turbine, showing
that stable pure ammonia flames are possible in conventional systems.
Blending ammonia with methane was shown to increase combustion efficiency
and flame speed; however, NO emissions
increase with the molar ratio of methane in the ammonia/methane mixture,
up to a volume fraction of 0.4 of methane. Hayakawa et al.[17] studied premixed flames of pure ammonia in a
swirl burner, showing that NO emissions
increase with fuel/air equivalence ratio up to 0.9 and sharply decrease
afterward. For fuel-rich flames, a drastic increase of unburned ammonia
emissions as well as hydrogen were detected in the flue gas. In subsequent
studies,[18,19] the same group explored staged combustion
systems, in rich–lean configurations, to increase the combustion
efficiency and reduce global NO and NH3 emissions. Using an optimal configuration, the emissions
for NO were shown to be as low as 42
ppmv, with negligible emissions of NH3. They also found
that higher pressures help mitigate NO formation. Valera-Medina et al.[20] also
explored NH3/CH4 and NH3/H2 fuel mixtures in a swirl burner, corroborating the findings of Hayakawa
et al.[17] in terms of the effect of equivalence
ratio, detecting high carbon monoxide (CO) emissions for NH3/CH4/air flames for equivalence ratios higher than 0.9.
The same group also further explored fuel-rich[21] and fuel-lean[22] premixed NH3/H2/air flames in the same burner as well as staging,
high pressure, and humidification as means of controlling NO emissions.[23]Recent
works in the field include that of Mario Costa’s
group,[24] who developed a swirl- and bluff-body
stabilized burner for partially premixed NH3/H2/air combustion, demonstrating the flame stability for a range of
equivalence ratios and fuel compositions, and the possibility of NO mitigation by selective non-catalytic reduction
(SNCR) using stratified ammonia in the combustor. The same group also
explored the advantages of using combustor staging or moderate or
intense low-oxygen dilution (MILD) combustion in gas turbines to drastically
reduce NO emissions of ammonia flames.[25]Despite all of the developments in the
usage of ammonia in applied
systems, the fundamentals of ammonia combustion are still to be explored.
Historically, the chemical kinetic mechanism of Miller and Bowman[26] was one of the first to describe nitrogen chemistry
in flames. Skreiberg et al.[27] improved
the mechanism of Miller and Bowman[26] by
including SNCR reactions for the NO reduction
pathways. Dagaut et al.[28] studied the hydrogen
cyanide chemistry in combustion, by adding reactions related to nitrogen–carbon
interaction to the mechanism of Skreiberg et al.[27] The mechanism allowed for a better understanding of the
prompt and fuel NO formation processes. Konnov[29] studied the NCN pathways, incorporating prompt NO reactions
into a full mechanism for small hydrocarbons.Further enhancements
to these mechanisms were made by other authors
to match experimental data for different conditions.[30−34] Among these, it is worth mentioning the mechanism of Tian et al.,[30] which contains 84 species and 703 reactions.
The mechanism was based on the work of Skreiberg et al.[27] and findings from other authors.[30] Mendiara and Glarborg[31] further developed the mechanism of Tian et al.[30] by including ammonia chemistry in oxy-fuel combustion,
obtaining a mechanism with 97 species and 779 reactions. More recently,
Glarborg et al.[35] reported a full mechanism
for nitrogen chemistry, including sub-mechanisms for ammonia combustion,
SNCR processes, and related chemistry, containing 151 species and
1397 reactions. Another recent mechanism is that of Li et al.,[36] which was developed on the basis of Konnov’s
mechanism[29] by including chemistry optimized
for ammonia combustion with both methane and hydrogen enrichment.
This mechanism contains 128 species and 957 reactions in its full
form; the mechanism was validated against experimental data on the
laminar flame speed, ignition delay times, and species profiles for
a number of conditions.Rocha et al.[37] evaluated the performance
of 10 different chemical kinetic mechanisms containing nitrogen chemistry
by comparing to experimental data for the laminar flame speed and
ignition delay times for NH3/air and NH3/H2/air flames. While the mechanisms yielded very scattered results,
three were shown to perform better in ammonia flame simulations: the
mechanism of Mathieu and Petersen,[38] containing
55 species and 278 reactions, the mechanism of Otomo et al.,[39] containing 32 species and 213 reactions, and
the mechanism of Okafor et al.,[40] containing
59 species and 356 reactions. The Okafor mechanism was developed on
the basis of the GRI-Mech 3.0 mechanism[41] for hydrocarbon oxidation and the mechanism of Tian et al.[30] for nitrogen chemistry and validated for laminar
burning velocities of NH3/CH4/air flames. Rocha
et al.[25] also evaluated some other mechanisms
for NO formation in ammonia/air flames, comparing to experimental
data from Brackmann et al.,[42] showing that
the mechanism of Mendiara and Glarborg[31] and the mechanism of Okafor et al.[40] performed
better in NO prediction.Several studies have shown that NO
emission can be promoted when
co-firing ammonia with other fuels.[16,43] Ramos et al.[43] studied NO emissions
in premixed laminar NH3/CH4/air flames at ambient
conditions, showing that the NO emissions
peak for volume fractions of 0.5 of CH4 in the fuel. Numerical
studies by the authors predicted trends similar to the experimental
ones, despite overpredicting the emissions. Sensitivity analysis indicated
that NO formation is sensitive to H2/O2 oxidation
reactions through the HNO formation and oxidation routes. NO formation
is promoted by oxygen excess and methane enrichment while being mitigated
by higher concentrations of N/NH/NH2 radicals, which react
with NO. These NO reduction reactions are enhanced by oxygen depletion.
The authors also indicated that competition for oxygen may promote
CO emissions under some conditions. Rocha et al.[44] measured NO and unburned NH3 emissions in NH3/H2/air and NH3/CH4/air flames in a porous media burner, which
attested to the effects of the reaction paths indicated in the previous
work.[43]Laser-based methods are highly
valuable for non-intrusive measurements
in combustion to provide data for model validation and have also been
applied in studies of ammonia combustion. One early example is the
investigations by Chou et al.,[45] who carried
out laser-induced fluorescence (LIF) measurements of nitric oxide
(NO) in NH3-doped CH4 flames with air as an
oxidizer. Later studies with LIF measurements of NO in such flames
have been presented by Li et al.[46] and
Brackmann et al.[47] Moreover, profiles of
NH, OH, and NO have been measured in flames burning neat NH3[42,48] or NH3co-firing with H2.[49]These previous laser diagnostic studies
were carried out under
low-pressure[48,49] or atmospheric[42,45,47] conditions. In this study, we extend investigations
to elevated pressures to obtain data for further development and validation
of ammonia chemistry. Experimental data include laminar flame speed
and species profiles for characterization of reaction-zone structures
and are used to evaluate the most recent chemical kinetic mechanisms
for ammonia flames.[35,36,40] A pressurized constant-pressure combustion vessel with a Bunsen
burner installed in a co-flow air environment is employed for the
experiments. Because the flames are of a complex structure involving
multiple flame modes and flame stretch, a direct numerical simulation
(DNS) of the flame is performed employing the Okafor mechanism[40] as a result of its relatively low computational
demand. On the basis of the DNS results, a novel method of determining
the laminar flame speed from conical Bunsen-type flames is developed
and validated. In the experiments, planar LIF imaging of NH and NO
are performed under different equivalence ratio, pressure, and ammonia/methane
ratio conditions, to investigate the NO promotion/mitigation. To the best knowledge of the authors, no other
works of this kind have been reported in the literature. This thus
increases the level of complexity with the goal to assess possibilities
for modeling NH3 combustion under more realistic conditions,
which is a necessary step toward introducing NH3 as a component
in a future sustainable energy supply.
Experimental
Methods
Laser-induced fluorescence measurements were carried
out to study
the structures of ammonia/methane/air premixed flames stabilized on
a Bunsen burner installed in a pressurized constant-pressure vessel.
Investigations were carried out under different molar fractions of
NH3 in the NH3 and CH4 mixture (0.2–0.8),
equivalence ratios (0.8–1.2), and pressures (1–3 bar).
Fuel/air equivalence ratios (ϕ) are calculated considering full
conversion of ammonia into H2O and N2 as well
as full conversion of CH4 into H2O and CO2 (see formulation by Rocha et al.[44]). In this section, a brief description of the experimental rig is
presented, while more details about the rig can be found in refs (50 and 51).
Experimental Rig and Apparatus
Figure shows the
experimental rig and a picture
of a premixed NH3/CH4/air flame. The pressurized
vessel is made of stainless steel; it has a cylindrical shape with
an inner diameter of 254.5 mm and an inner height of 500 mm. The rig
can operate at a maximum pressure of 36 bar and a maximum ambient
temperature of 220 °C. Optical access to the flame is available
through four viewports positioned at angles of 0°, 90°,
180°, and 270°. The pressure inside the vessel is kept constant
by regulating the exiting gas flow rate using back-pressure regulators.
The experiments were conducted at constant pressures, with a fluctuation
of less than 1%.
Figure 1
(a) Picture of an NH3/CH4/air premixed
flame
under an NH3/CH4 molar ratio of 0.60/0.40, pressure
of 3 bar, and equivalence ratio of 1.2 and (b) schematic illustration
of the pressurized vessel and the burner, (c) along with the computational
domain of a size of H = 59 mm and L = 19.5 mm. Burner inner radius, R = 3.5 mm; co-flow
tube inner radius, Rc = 17.5 mm; burner
wall thickness = 1.5 mm; burner length, H = 14 mm; and co-flow tube length, Hc = 10 mm.
(a) Picture of an NH3/CH4/air premixed
flame
under an NH3/CH4 molar ratio of 0.60/0.40, pressure
of 3 bar, and equivalence ratio of 1.2 and (b) schematic illustration
of the pressurized vessel and the burner, (c) along with the computational
domain of a size of H = 59 mm and L = 19.5 mm. Burner inner radius, R = 3.5 mm; co-flow
tube inner radius, Rc = 17.5 mm; burner
wall thickness = 1.5 mm; burner length, H = 14 mm; and co-flow tube length, Hc = 10 mm.The burner is composed
of a central jet with an inner radius (R) of 3.5
mm and a coaxial annular tube with an inner radius
(Rc) of 17.5 mm. The fuel/air mixture
was supplied through the center jet, whereas co-flow air was supplied
through the annular tube (cf. Figure c). The flow rates of the fuel/air mixture were regulated
by mass-flow controllers (MFCs, Brooks and Bronkhorst). The flame
was monitored continuously by a digital camera (D7100, Nikon) equipped
with an f = 200 mm AF Micro Nikkor lens. Figure a shows a photo of
the flame at an equivalence ratio of 1.2, pressure of 3 bar, and NH3/CH4 molar ratio of 0.60/0.40. Bright yellow chemiluminiescence
from NH2 radicals is observed in a thin zone, which indicates
the position of a premixed flame front. The yellow region is surrounded
by a blue luminous layer of a diffusion flame that burns CO and H2 generated at the premixed flame front.
Laser Diagnostics
Planar laser-induced fluorescence
(PLIF) imaging of the NH radical and nitric oxide (NO) was made in
the investigated flames. Measurements were made using an Nd:YAG laser
(Quanta Ray Pro 200, Spectra Physics) of 20 Hz repetition rate that
was pumping a dye laser (Sirah) operated on dye LDS698. For measurements
of NH, the dye laser was tuned to wavelength 672 nm and frequency-doubled
to 336 nm for excitation of NH in the (0–0) band of the A3Π–X3Σ– transition. Measurements of NO were made
with the laser tuned to wavelength 676.5 nm, which was converted to
225.5 nm by frequency-tripling (doubling combined with mixing) for
excitation of the Q2(26.5) transition
in the (0–0) band of the A2Σ+–X2Π transition.
Typical pulse energies for excitation of NH and NO were 10 and 0.5
mJ/pulse, respectively, and the laser linewidth was measured using
an etalon to be 0.3 cm–1 (corresponding to 7 GHz).
The ultraviolet laser beams were shaped using a concave cylindrical
lens (f = −50 mm) combined with a spherical
lens (f = +300 mm) resulting in a focused vertical
laser sheet crossing above the burner orifice through the center of
the flames. Fluorescence was imaged perpendicularly to the laser sheet
with an intensified charge-coupled device (CCD) camera (P-IMAX2, Princeton
Instruments) equipped with an f = +100 mm, f/# = 2 objective (B. Halle), and extension tubes. For measurements
of NO, a long-pass filter (WG225, Schott) was used to suppress scattering
and straylight at the laser wavelength, whereas measurements of NH
were made resonantly in the (0–0) band without filter. For
the latter case, the PLIF signal was sufficiently strong to dominate
over undesired backgrounds and provide high-contrast images of NH
present in the flame front (the brightest zone in Figure c).The PLIF signal of
NO was converted into mole fraction according to the theory for LIF
outlined by Eckbreth[52] and based on eq where N is a number density corresponding to
the fraction of NO molecules
that populate the lower energy level excited by the laser. Other quantities
in eq are the speed
of light c, the coefficient of spontaneous emission A, the collisional quenching rate Q, the
LIF signal SLIF, the absorption coefficient B, the laser spectral irradiance Iν, the solid angle of the LIF signal collection Ω,
the measurement volume length l and the detector
efficiency ε. Coefficients A and B of spontaneous emission and absorption for NO, respectively, were
obtained from the LIFBASE software.[53] Data
on collisional quenching of NO were obtained from quenching cross-sections
presented by Settersten et al.[54] The cross
sections were combined with major species concentrations retrieved
from DNS results to calculate the total collisional quenching rate, Q, in eq .
The spectral irradiance factor, Iν, was calculated from the laser pulse energy and also included the
overlap between the laser spectral profile and the shape of the NO Q2(26.5) absorption line, for which parameters
were obtained from ref (55). A pressure-induced shift in the position of the NO Q2(26.5) absorption line was also included in the evaluation.[55]For elastic scattering of laser light
by atoms and molecules, i.e.,
Rayleigh scattering, the number of scattered photons is proportional
to the number of incident laser photons, a scattering cross-section,
and the quantities Ω, l, and ε. A Rayleigh
scattering measurement in ambient air thus provided the product of
these quantities and allowed for calibration of the light collection
geometry and detector response. The total number density of NO molecules
is calculated from N by division with a population factor from the temperature-dependent
Boltzmann distribution, which was also retrieved from LIFBASE.[53] The total number density retrieved can then
be converted into mole fraction by means of the ideal gas law.While the spectroscopic quantities A and B for NO are known with high accuracy, the other quantities
in eq are associated
with experimental uncertainties. The uncertainty in instrument readings
of laser energy was estimated to be 7% and contributes to the corresponding
uncertainty of the laser spectral irradiance Iν. Moreover, the same uncertainty is included in the
Rayleigh scattering measurements made to determine the product of
factors Ω, l, and ε. In addition, Rayleigh
scattering measurements are sensitive to the false-positive signal
from straylight. In the present experimental setup, scattering should
ideally only be detected for vertical polarization of the laser. However,
a comparison between scattering measurements of air inside the high-pressure
vessel for orthogonal laser polarizations indicates that up to 20%
of the detected signal could be due to straylight, thus introducing
a corresponding experimental uncertainty for the scattering measurements.
The laser spectral irradiance includes the overlap between the laser
spectral profile and the NO absorption line; i.e., it depends upon
the laser wavelength as well as the linewidth. The laser wavelength
was tuned to the NO Q2(26.5) absorption
line, and the wavelength was monitored by a wavemeter with an accuracy
of 0.001 nm. A potential drift in wavelength within this accuracy,
i.e., of 0.0005 nm, results in an additional uncertainty for the spectral
irradiance factor of 20%. The evaluation showed less sensitivity to
the laser spectral width, for which re-evaluation with a value only
half of the measured value introduced a relative change in the results
by 2%. Uncertainties in the temperature also have an impact on evaluated
results through the temperature-dependent Boltzmann population factor
and the collisional quenching rate, Q. For a temperature
uncertainty of 100 K, both of these quantities introduce an uncertainty
of 2%. The uncertainty of the signal, SLIF, is associated with background subtraction errors and the reproducibility
of the measurements. For the background, an estimated possible error
of 10% resulted in a relative change in evaluated mole fractions by
4%. Repeated measurements for the atmospheric case showed a spread
in post-flame NO mole fractions by 7%. The total experimental uncertainty
was calculated as the root mean square of the individual uncertainties
discussed above and was determined to 31%.
Measurement of the Laminar
Flame Speed
Assuming that
the flow velocity in front of the flame is uniform with a constant
axial velocity of Ujet and a radial velocity
of zero, and that the local displacement speed is the laminar flame
speed of the unstretched flame (SL), it
can be shown that the flame front satisfies the following analytical
expression:where x and r are the axial and radial coordinates,
respectively, R is the radius of the jet, and Lf is
the height of the flame. As seen from this expression, the flame is
of a conical shape. Equation can be rewritten aswhere α
is the half-cone angle of the
conical shape flame. Equation offers a way of determining the laminar flame speed from
measurement of the flame height or half-cone angle.[51,56−58] This method is hereafter referred to as the flame
cone-angle method.As shown in the Results
and Discussion, the fuel/air flow stream remains that of the
fully developed pipe flow profile in front of the premixed flame front
(the radial velocity component is negligible compared to the axial
velocity). Assuming that the axial velocity follows that of a fully
developed pipe flow (cf. eq ), and the local displacement velocity (Sd) follows the theory of a stretched flame,[59,60] i.e.it can be shown that the flame front
[x = f(r)] satisfies
the
following equation:where f′(r) is the derivative
of f(r) and is
the flame stretch ratewith κ being the curvature of the flame
frontand Ks being the
strain rateEquation can be solved numerically
given that all flow and flame parameters
are known, with SL being the eigenvalue
of the problem. This provides a more accurate method for measuring SL from the present Bunsen-burner configuration.
For a given set of bulk flow velocity Ujet, flame height Lf, and Marktein length , the eigenvalue SL is obtained by enforcing eq to satisfy the following boundary conditions:The uncertainties
of the laminar flame speed
determined using the above methods will be discussed in the Results and Discussion.
Numerical Method
and Computational Setup
The governing equations considered
in the numerical simulations
are the Navier–Stokes equations, the continuity equation, and
the transport equations for species mass fractions and enthalpy. The
mixture is assumed to follow the ideal gas law. A detailed chemical
kinetic mechanism for methane and ammonia, developed by Okafor et
al.,[40] was employed in the simulations.
The mechanism, as discussed in the Introduction, was developed for mixtures of ammonia and methane. The mechanism
was among those that yielded the best prediction of the laminar flame
speed against experimental data for a range of equivalence ratios.[37] The mechanism was also among those that best
predicted NO formation.[25] The one-dimensional
simulations included the mechanisms of Glarborg et al.[35] and Li et al.[36] as
well. These three mechanisms represent some of the latest and most
comprehensive mechanisms developed for ammonia combustion.
Numerical Solvers
The governing equations are solved
numerically using two software, OpenFOAM[61] for the two-dimensional (2D) DNS cases and the Cantera package[62] for one-dimensional (1D) freely propagating
flames. In OpenFOAM’s original solver, rhoReactingBuoyantFoam,
the original transport equations for the species mass fractions and
enthalpy were based on two assumptions: a Schmidt number of unity
and a Lewis number of unity. This solver also includes corrections
for buoyancy. The dynamic viscosity was calculated using the Sutherland
equation.[63] Because the original solver
was developed mainly for turbulent combustion, for which the molecular
preferential diffusion is considered negligible in comparison to the
turbulent diffusion, these two assumptions can be regarded as acceptable.
However, they are not suitable for the present laminar-flame simulations.
To accurately describe the reaction–diffusion process, the
mixture-averaged transport model identical to that used in ref (64) was implemented in the
current solver. The detailed transport properties for each species
were calculated using a third-order logarithm polynomial fitting method.[64] This solver has been successfully applied in
our previous study of laminar premixed n-heptane/air
flames in a low-temperature ignition regime,[65] a spherical laminar premixed flame with intrinsic flame instability,[66] and turbulent flame propagation and ignition.[67,68] A finite-volume method with a linear scheme (second order) was adopted
for the space discretization, and a first-order scheme was used for
the time integration. Because the flame is steady, a first-order time
integration scheme is preferred as a result of its numerical stability.
The pressure-implicit-with-splitting-of-operator (PISO) algorithm
with four inner correction loops was employed to solve the system
of discretized equations.
Case Setup and Boundary Conditions
Because the premixed
flame is axisymmetric, a 2D axisymmetric computational domain was
specified. The domain is of a wedge shape with a small angle (1°),
discretized using one mesh cell in the azimuthal direction. Figure c shows the computational
domain. The domain was selected such that the far field boundary of
the domain is sufficiently far away from the flame where the local
mixture is pure air and the local flow velocity is low. A uniform
rectangular grid with a cell size of 20 μm was used along both
the axial and radial directions, which provides a spatial resolution
of 30–50 cells in the reaction zone.The inflow boundary
of the computational domain was set some distance upstream of the
burner exit and the co-flow tube exit plane (see H and Hc in Figure c). In this way,
the fully developed laminar pipe flow profile could be applied at
the jet inflow boundary. The inflow axial velocity was specified aswhere Ujet = ṁ/πR2 is the bulk
flow velocity of the jet, with ṁ being the
mass flow rate of the fuel/air mixture. At the outer annular co-flow
inlet, a small co-flow of air with a uniform axial velocity of Uco-flow was applied.Non-slip boundary
conditions were employed at the burner wall.
The burner wall was assumed to be adiabatic because the wall was not
cooled. To explore the sensitivity of results to wall heat losses,
simulations were also carried out under a constant wall temperature
of 423 K, which is the same as the co-flow air temperature. At the
downstream and the lateral far-field boundaries, the gradients of
all dependent variables were set to zero.Table shows the
experimental and computational cases, which cover a range of equivalence
ratio (0.8–1.2), molar ratio of NH3 to the total
sum of NH3 and CH4 (0.2–0.8), and pressure
(1–3 bar). In the experiments, the bulk flow velocity of the
jet (Ujet) was adjusted so that the height
of the flame remained approximately the same to allow for the PLIF
measurements to be carried out in the same manner for all cases without
having to adjust the laser sheet from one flame case to another. The
co-flow air was used to burn out the fuel in the vessel. The fuel/air
mixture through the jet and the co-flow was preheated to Tu = 423 K. To compare to the experiments and DNS results
of the Bunsen-burner configuration, 1D detailed numerical simulations
of the mixtures listed in Table are performed on the freely propagating unstretched
adiabatic premixed flame configuration using different chemical kinetic
mechanisms.[35,36,40] The laminar flame speeds (SL) obtained
from the 1D simulations with the Okafor mechanism[40] are listed in Table .
Table 1
Experimental and Computational Casesa
case
p0 (bar)
XNH3
ϕ
Ujet (m/s)
ṁ (×105, kg/s)
Re
SL (cm/s)
Lf (mm)
(mm)
(mm)
1
1
0.2
1.2
1.94
5.85
926
43.2
15.7
0.13
0.176
2
2
0.2
1.2
1.54
9.18
1453
33.3
17.0
0.095
0.083
3
3
0.2
1.2
1.26
11.24
1779
27.9
16.6
0.079
0.032
4
3
0.4
1.2
0.97
8.65
1379
23.6
16.8
0.075
0.081
5
3
0.6
1.2
0.74
6.49
1045
19.3
16.5
0.078
0.079
6
3
0.8
1.2
0.55
4.77
778
16.4
16.4
0.077
0.100
7
3
0.2
0.8
1.1
10.01
1563
26.6
15.9
0.069
0.052
8
1
0.2
1
1.94
5.90
928
51.8
16.1
0.116
0.122
9
2
0.2
1
1.81
10.86
1708
41.6
17.0
0.083
0.077
10
3
0.2
1
1.52
13.74
2162
35.7
16.6
0.072
0.063
Ujet is
the bulk velocity of inner jet flow; p0 is the combustor pressure; ϕ is the equivalence ratio; XNH is the molar ratio of NH3 in the NH3/CH4 mixture; ṁ is the mass flow rate; Re is the Reynolds number
based on the bulk flow velocity and burner diameter; SL is the laminar flame speed from 1D simulation using
the Okafor mechanism;[40]Lf is the flame height from experiments; and is the Markstein
length determined from
the DNS results. The co-flow velocity, Uco-flow, is about 0.25 m/s, and Tu, the temperature
of the fuel/air stream, is kept at 423 K for all cases.
Ujet is
the bulk velocity of inner jet flow; p0 is the combustor pressure; ϕ is the equivalence ratio; XNH is the molar ratio of NH3 in the NH3/CH4 mixture; ṁ is the mass flow rate; Re is the Reynolds number
based on the bulk flow velocity and burner diameter; SL is the laminar flame speed from 1D simulation using
the Okafor mechanism;[40]Lf is the flame height from experiments; and is the Markstein
length determined from
the DNS results. The co-flow velocity, Uco-flow, is about 0.25 m/s, and Tu, the temperature
of the fuel/air stream, is kept at 423 K for all cases.
Calculation of SL from the DNS Results
From the DNS results, one can determine
the laminar flame speed
following the procedure described in ref (51). First, a local displacement speed (Sd) on an isosurface of the mass fraction of
fuel (Yf = Yf,ref) can be defined asSd,ref is the
local displacement speed of the isosurface of Yf = Yf,ref, which can be converted
to the local displacement speed of the flame on the unburned side
of the flamewhere ρ is the local density on the
isosurface of Yf = Yf,ref and ρu is the density in the unburnt
mixture. For a 1D planar flame, Sd is
the laminar flame speed (SL), which is
a property of the mixture, independent of the flow. For multi-dimensional
flames, this is however not true. Making use of eq , one can determine the laminar flame speed
from the DNS data as follows:where the Markstein length and the flame
stretch rate can
be determined from the DNS data.
Results and Discussion
All cases listed in Table have been studied using PLIF imaging of NH and NO. Quantitative
analysis of the NO mole fraction from PLIF data was performed for
cases 1–6. Computational analysis includes DNS of the Bunsen
flames and 1D numerical simulations in a planar freely propagating
flame configuration for all cases listed in Table . In this paper, we focus on the analysis
of the laminar flame speed and the NO distribution from experiments
and numerical simulations. First, spatial distributions of species
from PLIF measurements and numerical simulations are presented to
analyze flame structures. The species are chosen to indicate the progress
of ammonia oxidation, hydrogen production and oxidation, and formation
of NO in different layers of the reaction zone. The laminar flame
speed, determined from the experiments and numerical simulations,
is then discussed, followed by a presentation of radial NO profiles.
Flame
Structures
Figure shows the flow field and the spatial mass fraction
distributions of ammonia, hydrogen, oxygen, and OH radicals as well
as the heat release rate (HRR) in the stoichiometric flame under ambient
pressure of 1 bar (case 8) and 3 bar (case 10). The ammonia molar
ratio in the ammonia/methane mixture is 0.2. Ammonia is seen to decrease
rapidly across a thin layer, along with the consumption of oxygen
and the formation of hydrogen across the layer. This reaction layer
forms a premixed flame front. Hydrogen formed in the premixed flame
front diffuses outward radially toward the ambient air and is consumed
by reactions with oxidizers (such as OH radicals) on its way diffusing
outward. Eventually, hydrogen is completely oxidized in the diffusion
flame front as indicated by the HRR distribution. In the 3 bar flame,
two distinctive HRR layers can be seen in the upper part of the flame
(cf. Figure f), with
the inner being the premixed flame layer and the outer being the diffusion
flame layer. In the atmospheric flame, the two layers merge, as a
result of a higher diffusion velocity than for the higher pressure
flame.
Figure 2
(a) Velocity streamlines and mass fraction of NH3, (b)
magnitude of velocity, (c) mass fraction of H2, (d) mass
fraction of O2, (e) mass fraction of OH, and (f) HRR, from
DNS of stoichiometric flames at p = 1 atm (case 8)
and 3 atm (case 10), under an ammonia molar ratio of 0.2.
(a) Velocity streamlines and mass fraction of NH3, (b)
magnitude of velocity, (c) mass fraction of H2, (d) mass
fraction of O2, (e) mass fraction of OH, and (f) HRR, from
DNS of stoichiometric flames at p = 1 atm (case 8)
and 3 atm (case 10), under an ammonia molar ratio of 0.2.In between the premixed flame front and the diffusion flame
region,
OH radicals are present and participate in reactions in the premixed
flame and in the diffusion flame. The mass fraction of OH radicals
in the premixed flame front is higher than in the diffusion flame.
This gives rise to a much higher HRR in the premixed flame front than
in the diffusion flame. CH4 in the fuel/air mixture is
oxidized at the premixed flame front, forming H2 and CO,
which are oxidized further in the diffusion flame and in the region
between the premixed flame and the diffusion flame (for brevity, the
results of CH4 and CO are not shown here).The flow
streamlines in the unburned region upstream of the premixed
flame front are parallel to the burner axis, and the velocity magnitude
is essentially a function of the radial coordinate, independent of
the axial coordinate (cf. panels a and b of Figure ). Across the premixed flame front, the velocity
increases rapidly and the streamlines are inclined toward the direction
normal to the premixed flame front, owing to the gas expansion across
the premixed flame. This result will be used later to determine the
laminar flame speed from experimental data based on the formulation
presented in eqs –9.The pressure effect on the flame structures
can be observed in Figure . The higher pressure
flame (3 bar) has a lower jet velocity (Table ) yet a longer flame. This indicates that
the laminar flame speed of the higher pressure flame is lower than
its lower pressure counterpart. The mass fraction of OH radicals in
the higher pressure flame is also lower, which might be related to
three-body radical recombination reactions, which are enhanced by
higher pressures, e.g., H + O2 + M = HO2 + M.
Competition of this reaction with the chain-branching reaction H +
O2 = O + OH leads to a reduced concentration of radicals
OH, H, and O. For this reason, the consumption rate of H2 (by reaction with OH) in the premixed flame is presumably lower,
and consequently, the HRR in the higher pressure flame would be lower.
This affects the NO formation, as will be discussed below.Figure shows the
spatial distribution of mass fractions of NH and NO from DNS and the
corresponding PLIF signal for the stoichiometric flames at pressures
of 1 and 3 bar. NH is seen only in the premixed flame front, located
in a thin layer. NO is present in the region between the premixed
flame and the diffusion flame. The DNS results indicate that the atmospheric
flame has significantly higher mass fractions of NH and NO than the
3 bar flame. This is largely due to the high mass fraction of radicals
(H, O, and OH) in the atmospheric flame. A previous study of ammonia/hydrogen
and ammonia/methane premixed flames indicated that NO formation is
highly sensitive to the reaction HNO + OH = NO + H2O, being
the largest contributor to NO production in several of their studied
flames.[44] This reaction is suppressed at
elevated pressure, also promoting the lower NO formation at 3 bar
compared to 1 bar.
Figure 3
Spatial distribution of NH and NO of stoichiometric flame:
(left)
mass fractions from DNS and (right) PLIF signal intensity at (a and
c) p = 1 atm (case 8) and (b and d) p = 3 atm (case 10). The color bar indicates mass fractions of NO
from DNS.
Spatial distribution of NH and NO of stoichiometric flame:
(left)
mass fractions from DNS and (right) PLIF signal intensity at (a and
c) p = 1 atm (case 8) and (b and d) p = 3 atm (case 10). The color bar indicates mass fractions of NO
from DNS.
Laminar Flame Speed
The value of the laminar flame
speed from the experiments is determined using the methodology described
in eq or 5. From the experiments, the bulk flow velocity Ujet and the flame height Lf (the axial distance from the tip of the flame to the burner exit
plane) can be determined. Their values for the 10 experimental cases
are shown in Table . The flame cone angle method (eq ) has been frequently used in flame speed measurements;
however, the results are subject to uncertainties caused by the presence
of the flame stretch[51,56−58] and non-uniform
flow velocity in front of the flame. The effect of the flame stretch
and non-uniform flow of the unburned mixture are taken into account
in eqs . Figure shows a comparison between
the flame front function x = f(r) described using eqs and 5. As seen, eq yields a more accurate prediction of the
flame front than eq when comparing to the experimental results (as indicated by the
NH distributions).
Figure 4
Flame front profiles for case 1 determined using different
methods.
Flame front profiles for case 1 determined using different
methods.Figure shows the
values of the laminar flame speed evaluated from the experiments using eq or 5. The values from eq are consistently higher than those from eq . The 1D numerical results from the mechanism
of Okafor et al.,[40] Li et al.,[36] and Glarborg et al.[35] agree well with the experimental results from eq ; however, they slightly overpredict values
for flames of higher fractions of ammonia (cases 5 and 6), especially
the latter mechanism. It is worth noticing that the numerical results
from different mechanisms agree very well with each other for the
atmospheric flames (cases 1, 7, and 8) while differing more at elevated
pressure.
Figure 5
Laminar flame speed from experiments and DNS of Bunsen flames,
and from 1D numerical simulations of planar unstretched flames.
Laminar flame speed from experiments and DNS of Bunsen flames,
and from 1D numerical simulations of planar unstretched flames.The DNS results were also used to determine the
laminar flame speed,
using the flame cone-angle method (eq ). The DNS results are in good agreement with the experiments
(cf. Figure ), slightly
underpredicting values for flames of low ammonia content (cases 1,
2, 3, 7, 9, and 10). A good agreement between the experimental results
and DNS results indicates that the prediction of the flame height
is good. As indicated in Figure , the flame shape from DNS also agrees well with the
experiments (cf., the NH distribution). This confirms the accuracy
of the inflow boundary condition.When using eq to
determine the laminar flame speed (by solving eqs –9), an important
input parameter is the Markstein length (). The value
of the Markstein length can
be determined from theoretical analysis,[59,60] but it is found here that the theoretically estimated value of is about 10-fold
the value determined from
the DNS results.Equations –13 can be used to determine
the values of the laminar
flame speed and Markstein length. Figure shows the value of Sd along the flame height (around mid-flame height). It is clear
that, in the investigated region of the flame, Sd is a linear function of the flame stretch rate , with
the slope being the Markstein length.
The value of for the 10
experimental cases determined
using eqs –13 are given in Table . They are used in calculating the unstretched laminar
flame speed using eq shown in Figure . From eq , the unstretched
laminar flame speed can be determined from the DNS results. As shown
in Figure , DNS-predicted SL from eq agrees well with the corresponding experimental results
as well as with the 1D numerical results from the same mechanism (i.e.,
the Okafor mechanism[40]). However, the DNS
results with the flame cone angle method consistently underpredicted
the laminar flame speed. This is attributed to the effect of the flame
stretch.
Figure 6
Local flame displacement speed Sd along
the flame height of cases 1–3, expressed as a function of the
local stretch rate .
Local flame displacement speed Sd along
the flame height of cases 1–3, expressed as a function of the
local stretch rate .For comparison, Table also shows the value of Markstein
length determined
from the experimental flame
front, e.g., the NH PLIF field. First, a flame front function x = f(r) is determined
from the NH PLIF field. Using eqs –8, the flame stretch
rate can
be computed. From eq , with a given SL (i.e., the value of SL given in Table ), is determined.
In general, the Markstein
length from the experiments is on the same order of magnitude as that
from DNS, and the two lengths follow a similar trend when varying
the flame conditions.
Uncertainties of the SL Measurement
Using the Bunsen Burner
Errors in the measured laminar flame
speed may be classified to two types: random errors and systematic
errors. Random errors may stem from the readings of the mass flow
rate, error in the ambient temperature and reactant flow temperature,
and ambient pressure fluctuations. The effects of the random errors
and fluctuations on the laminar flame speed are evaluated in the post-processing
and expressed in terms of the standard deviation of the laminar flame
speed. The results are shown in Table . It is seen that the largest standard deviation of
the laminar flame speed is 0.6 cm/s (in case 8), which is about 1.2%
of the measured laminar flame speed.
Table 2
Laminar
Flame Speed (SL in cm/s) from DNS using
the Okafor Mechanism,[40] 1D Numerical Simulation
Using the Okafor Mechanism,
and Experimentsa
DNS
1D
experiment
case
eq 3
eq 13
Okafor
εSL
eq 3
eq 5
σSL
1
38.87
45.83
43.20
2.63
42.08
50.69
0.29
2
28.29
34.20
33.28
0.92
30.56
39.19
0.31
3
23.10
28.15
27.91
0.24
25.51
33.06
0.27
4
19.34
24.23
23.22
1.01
19.56
25.25
0.07
5
16.18
21.25
19.57
1.68
15.14
18.89
0.08
6
13.10
18.20
16.33
1.87
11.28
13.76
0.29
7
20.70
25.57
25.07
0.50
23.34
28.95
0.22
8
42.89
52.80
50.91
1.89
41.04
48.97
0.60
9
32.85
39.86
39.95
0.09
35.90
45.96
0.14
10
27.27
32.85
34.00
1.15
31.05
39.12
0.39
ε (cm/s)
is the difference between the laminar flame
speed from the DNS of the Bunsen flame (eq ) and that from the 1D numerical simulation,
which indicates the systematic error of the Bunsen burner method for
determination of the laminar flame speed. The standard deviation (σ, cm/s) is for the experimental
results with eq , which
indicates the error in the measurements as a result of random variation
of operating conditions.
ε (cm/s)
is the difference between the laminar flame
speed from the DNS of the Bunsen flame (eq ) and that from the 1D numerical simulation,
which indicates the systematic error of the Bunsen burner method for
determination of the laminar flame speed. The standard deviation (σ, cm/s) is for the experimental
results with eq , which
indicates the error in the measurements as a result of random variation
of operating conditions.Systematic errors of the laminar flame speed may stem from the
wall heat loss (because adiabatic flame speed is sought in the measurements),
the buoyancy effect associated with the Bunsen flame (which is absent
in the idealized 1D freely propagating flame), and the difference
of burner configuration. The buoyancy effect and wall heat loss effect
are investigated using DNS. It is found that the flame structure (e.g.,
NH distribution) is identical with and without the inclusion of the
buoyancy force in the DNS. To investigate the effect of wall heat
losses, DNS with two different wall boundary conditions has been carried
out for the lowest flame speed case (case 6): a constant wall temperature
(423 K, the same as the reactant temperature) and an adiabatic wall.
The flame height from the two boundary conditions varied about 0.2
mm, which results in a difference in the laminar flame speed of about
0.2 cm/s, based on the method described by eq , which is about 1% of the value of the laminar
flame speed.The systematic error may arise due to the difference
of the Bunsen
burner configuration from that of the idealized 1D freely propagating
planar flame. This error is evaluated by comparing the results from
the 1D numerical simulation and that of Bunsen burner DNS, both with
the same chemical kinetic mechanism (the Okafor mechanism). The results
are shown in Table . It is seen that the error is small for most of the flame cases.
The largest relative error is 10%, which occurs in the flame case
with the lowest flame speed. The largest absolute error is 2.63 cm/s,
occurring in case 1, which is about 6% of the value of the laminar
flame speed.
NO Emission
Figures and 8 show the radial
profiles
of the NO mole fraction for flames of equivalence ratio ϕ =
1.2 (cases 1–6), at height 10 mm above the burner, obtained
from numerical simulations and PLIF experiments. The rapid increase
of NO around r = 1–1.5 mm is due to the NO
formation at the premixed flame front. Because the oxidation of NH3 occurs in a very thin layer (cf. Figure ), the formation of NO is also very rapid.
Qualitatively, DNS captures the trends of the experimental profiles
well. The NO profile shows a steeper gradient toward the premixed
flame reaction zone for cases 1–3 with 20% NH3 in
the fuel as well as for case 4. For cases 5 and 6, with 60 and 80%
NH3 in the fuel, respectively, the gradient is lower, which
is, however, overpredicted in the numerical simulations. A local minimum
of the NO mole fraction at radial positions from 2 to 3 mm can be
observed for cases 4–6 in both PLIF data and DNS results, which
corresponds to the low HRR and low OH radical concentration region
between the premixed and diffusion flames, as discussed previously
(panels e and f of Figure ). Quantitatively, experimental data and DNS profiles are
generally on par with each other, with differences of up to 20% in
the NO mole fraction. The uncertainty of the experimental data is
indicated by the error bar in Figure (case 2). Considering the uncertainty range, it is
clear that the experimental data and DNS predictions follow a consistent
trend.
Figure 7
Mole fractions of NO obtained from DNS (solid lines), PLIF experiments
(square symbols), and numerical simulations of 1D freely propagating
premixed flames with ammonia molar ratio (XNH) of 0.2, equivalence ratio of 1.2, and pressure of
1–3 bar. The 1D flame simulations were made using mechanisms
of Glarborg et al.[35] (dashed line), Li
et al.[36] (dotted line), and Okafor et al.[40] (dash-dotted line). The vertical axis shows
the value of mole fractions multiplied by 1000.
Figure 8
Mole fractions
of NO obtained from DNS (solid lines), PLIF experiments
(square symbols), and numerical simulations of 1D freely propagating
premixed flames under conditions of pressure of 3 bar, equivalence
ratio of 1.2, and ammonia molar ratio of 0.4–0.8. The 1D flame
simulations were made using mechanisms of Glarborg et al.[35] (dashed line), Li et al.[36] (dotted line), and Okafor et al.[40] (dash-dotted line). The vertical axis shows the value of mole fractions
multiplied by 1000.
Mole fractions of NO obtained from DNS (solid lines), PLIF experiments
(square symbols), and numerical simulations of 1D freely propagating
premixed flames with ammonia molar ratio (XNH) of 0.2, equivalence ratio of 1.2, and pressure of
1–3 bar. The 1D flame simulations were made using mechanisms
of Glarborg et al.[35] (dashed line), Li
et al.[36] (dotted line), and Okafor et al.[40] (dash-dotted line). The vertical axis shows
the value of mole fractions multiplied by 1000.Mole fractions
of NO obtained from DNS (solid lines), PLIF experiments
(square symbols), and numerical simulations of 1D freely propagating
premixed flames under conditions of pressure of 3 bar, equivalence
ratio of 1.2, and ammonia molar ratio of 0.4–0.8. The 1D flame
simulations were made using mechanisms of Glarborg et al.[35] (dashed line), Li et al.[36] (dotted line), and Okafor et al.[40] (dash-dotted line). The vertical axis shows the value of mole fractions
multiplied by 1000.Duynslaegher et al. reported
a rather weak pressure dependence
of NO formation in NH3 combustion.[69] For 20% NH3 in the fuel (cf. Figure ), NO mole fractions from DNS and PLIF data
show a moderate decrease with increasing pressure from 1 to 3 bar
(although the PLIF data show a higher mole fraction at 2 bar than
at 1 bar). The moderate decrease of the NO mole fraction with increasing
pressure suggests that NO formation becomes inhibited as the pressure
increases. From the OH radical field discussed in Figure e, this appears to be due to
the increased effect of three-body radical recombination reactions
that result in decreasing radical concentrations (H, O, and OH) with
increasing pressure.For cases 3–6 (Figures and 8), the NH3 molar
ratio increases from 20 to 80%, while the pressure is constant at
3 bar. Comparing this sequence of results shows a consistent decrease
in the NO mole fraction in both experiments and DNS. This indicates
that, under the present conditions, a higher ammonia ratio in the
ammonia/methane/air mixture can lead to reduced NO emission. Ramos
et al.[43] also found similar trends of reduction
in NO for stoichiometric ammonia/methane/air
flames at atmospheric pressure, reporting decreasing NO emissions with an increasing ammonia ratio in the
fuel/air mixture. Analysis of the present DNS results from the Okafor
mechanism[40] show that, with a higher ammonia
ratio in the fuel, the NO reduction reaction H + NO = HNO is enhanced,
which partly contributes to the decreasing NO emission with an increasing
ammonia molar ratio in the fuel.NO formation rates from DNS
indicate that, in all cases studied,
NO formation mainly occurs in the premixed flame front. The diffusion
flame does not significantly contribute to the NO formation. However,
this cannot explain the two NO peaks observed in cases 5 and 6 (cf. Figure ). To gain insight
into this phenomenon, Figure shows the spatial distribution of the NO mole fraction in
two fuel-rich flames (cases 3 and 6) with an equivalence ratio of
ϕ = 1.2 and pressure of 3 bar. With a higher ammonia ratio (case
6), the NO distribution shows rather different characteristics: at
the premixed flame front (upper part of the flame), a higher NO mass
fraction is observed in a thin layer, and near the burner rim, the
highest NO concentration is observed in a broad region in between
the diffusion flame front and the premixed flame front. Reaction rate
analysis indicates that, for case 6, the two most important reactions
that contribute to the formation of NO are N2O + H = NO
+ NH and HNO + H = NO + H2. While HNO is found only in
the premixed flame layer, N2O can be found in both the
premixed flame layer and the diffusion flame layer. Near the burner
rim, these two layers are closer to each other; thus, the local formation
rate of NO is higher than that in the downstream region as a result
of the summation of the rates from these two reactions in the near
burner region. Furthermore, for case 6, reaction N2 + O
= NO + N is also important near the burner rim, where the concentration
of O radicals is higher in the diffusion flame layer under fuel-rich
conditions. This contributes further to the high NO concentration
near the burner rim of case 6.
Figure 9
Spatial distribution of NO of the fuel-rich
flames with ϕ
= 1.2, pressure of 3 bar, and ammonia molar ratio of 0.8 (case 6)
and 0.2 (case 3). In each panel, the left is from DNS and the right
is from PLIF experiments. The color bar indicates NO mass fractions
from DNS.
Spatial distribution of NO of the fuel-rich
flames with ϕ
= 1.2, pressure of 3 bar, and ammonia molar ratio of 0.8 (case 6)
and 0.2 (case 3). In each panel, the left is from DNS and the right
is from PLIF experiments. The color bar indicates NO mass fractions
from DNS.As a result of the reduced diffusion
coefficient at high pressures,
the diffusion of NO formed in the premixed flame is slower toward
the diffusion flame layer. The NO field in case 6 (Figure ) shows that the peak of NO
in the outer diffusion flame layer is due to the convective transport
of NO generated in the upstream region near the burner rim. This characteristic
can be observed in both the DNS and PLIF results. As discussed earlier,
at a low ammonia ratio case (case 3), the formation rate of NO is
higher (than that with a higher ammonia ratio) in the premixed flame
front, which results in a higher NO mole fraction at the premixed
flame front (cf. Figure ). Thus, diffusion from the premixed flame to the diffusion flame
is enhanced, resulting in a more uniform distribution of NO in the
region between the premixed flame front and the diffusion flame front.One major difference between the 1D result and the DNS result can
be found at large radial positions. As a result of the presence of
the diffusion flame layer in the DNS and experiments, which is absent
in the 1D configuration, the local minimum of NO mole fraction in
cases 5 and 6 does not exist in the 1D results. Another noticeable
difference in the 1D and DNS/experimental results lies in the decrease
of NO at radial positions r > 4 mm. This is due
to
the ambient air dilution in the jet flame configuration, which is
not modeled in the 1D simulations.Figures and 8 also present
NO profiles predicted from simulations
of 1D, freely propagating premixed flames, using different chemical
kinetic mechanisms. The results from DNS and 1D numerical simulations
using the Okafor mechanism[40] agree very
well in the premixed flame region, indicating that the flame stretch
at the height of 10 mm has rather minor impact on the NO formation
process in the premixed flame region. The NO mole fractions predicted
by the Glarborg et al. and Li et al. mechanisms are higher than that
from the Okafor mechanism. The difference in the NO profiles from
1D numerical simulations using different chemical mechanisms is nevertheless
rather large, indicating that current chemical kinetic mechanisms
for ammonia combustion require more development for accurate prediction
of NO formation.
Concluding Remarks
The structure
and laminar flame speed have been investigated for
laminar premixed ammonia/methane/air jet flames in a pressurized constant-pressure
vessel under a range of equivalence ratios (0.8–1.2), pressures
(1–3 bar), and ammonia/methane molar ratios (0.2–0.8).
Measurements were made using PLIF of NO and NH. DNS of the jet flames
was performed, along with 1D modeling of unstretched planar flames
using three recently developed chemical kinetic mechanisms. DNS and
PLIF results show that flames in an ambient co-flow of air under stoichiometric
or fuel-rich conditions exhibit a dual flame structure, with an inner
premixed flame and an outer diffusion flame. Under the currently studied
equivalence ratios (ϕ ≤ 1.2), NH3 and CH4 are oxidized in the inner premixed flame, while combustion
intermediates (e.g., H2) formed in the premixed flame diffuse
toward the ambient air flow, establishing a diffusion flame where
the intermediates are finally oxidized. The main findings are summarized
as follows: (1) The inner premixed flame and outer diffusion flame
show significant interaction as a result of the diffusion of species
and heat between the two flames. The interaction is weakened as the
pressure increases as a result of a reduced diffusion velocity. It
is found that NO is mainly formed in the inner premixed flames, while
the diffusion flame also contributes to the formation of NO. In the
inner premixed flame, a thin layer of NH is identified and OH radicals
reach their peak level. Reactions of fuel NO formation, through the
HNO route in the premixed flame, are deemed to be responsible of the
NO peak in this layer. Under elevated pressures, a dual-peak NO profile
has been observed in the PLIF data and DNS results, which is due to
the convective transport of NO from the upstream region near the burner.
NO formation in the diffusion flame front is negligible in comparison
to that in the premixed flame front. (2) NO emissions are shown to
be suppressed at elevated pressures. This can be attributed to the
enhanced three-body radical recombination reactions that suppress
the radical formation in the inner premixed flames, which subsequently
suppress the NO formation rate. NO emission is also suppressed with
an increasing ammonia to methane ratio in the fuel/air mixture under
the currently investigated range of the ammonia molar range (XNH ≤ 0.8). The main reason
behind this is the enhanced NO reduction reaction (H + NO = HNO) at
high ammonia ratios. (3) A novel method is presented and used to determine
the laminar flame speed using Bunsen burners. The method takes into
account non-uniform flow velocity in the unburned mixture in front
of the premixed flame as well as the local flame stretch rate pertaining
to the Bunsen burner flames. The method is analyzed using the DNS
results and compared to the conventional flame cone-angle method.
A significantly improved accuracy of the laminar flame speed measured
using Bunsen burners with the new method is found in comparison to
the flame cone-angle method. (4) The laminar flame speed under varying
equivalence ratio, pressure, and ammonia/methane ratio is determined
using the new method. NH profiles were used as flame front markers,
and the data are compared to predictions from three recent chemical
kinetic mechanisms, with overall good agreement being observed. Predictions
of the mechanisms show close agreement between one another under most
conditions studied, with the largest discrepancy found at high ammonia
ratio conditions. (5) Although the recent chemical kinetic mechanisms
show consistent predictions of the laminar flame speed, their predictions
of NO formation in the current flames scatter significantly. This
calls for further development of the current chemical kinetic mechanisms
for improved calculation of NO profiles. Although a significant influence
of the outer diffusion flame on NO formation is observed in the present
Bunsen burner rig, the outer diffusion flame does not show a strong
impact on the laminar flame speed of the inner premixed flame. This
allows for the studies of moderately fuel-rich laminar flames (under
the present equivalence ratio range) using Bunsen burners. It is expected
that, under high equivalence ratio conditions (close to the fuel-rich
flammability limit), the outer diffusion flame should exert a more
significant impact on the inner premixed flames.