n-Decane-based nanofluid fuels could be one of the most promising alternative fuels as aviation kerosene for aerospace application. However, the physical and heat-transfer properties of n-decane-based nanofuels have been rarely studied, and the influence of the concentration of nanoparticles on the evaporation characteristics of n-decane-based fuels has been sparsely investigated. This paper investigated physical and heat-transfer properties and evaporation characteristics of graphite/n-decane nanofluid fuels and emphasized the concentration effect of adding graphite nanoplatelets (GNPs) on these characteristics. It was found that there are a linear increase of density and thermal conductivity, a binomial increase of viscosity, and a binomial influence on surface tension as GNP concentration increases, while the boiling point almost remains constant, and the latent heat of vaporization largely decays. There exists a critical GNP concentration of 1.75 wt % for the evaporation performance. At 0∼1.75 wt %, the increase of GNP concentration benefits the evaporation. At 1.75∼4.0 wt %, the enhancement of GNP concentration deteriorates the evaporation performance. A detailed discussion of this evaporation behavior was made, which could be attributed to multiple factors, for example, the aggregation of nanoplatelets, the changes of physical and heat-transfer properties owing to the nanoparticle concentration effect, the surfactant concentration, and the ambient temperature. The concentration of surfactants has a binomial effect, and the ambient temperature has a linear effect on the evaporation rate. This study would promote in depth understanding of physical and heat-transfer properties and evaporation characteristics of nanofluid fuels and develop the application in turbine engines and ramjet engines.
n-Decane-based nanofluid fuels could be one of the most promising alternative fuels as aviation kerosene for aerospace application. However, the physical and heat-transfer properties of n-decane-based nanofuels have been rarely studied, and the influence of the concentration of nanoparticles on the evaporation characteristics of n-decane-based fuels has been sparsely investigated. This paper investigated physical and heat-transfer properties and evaporation characteristics of graphite/n-decane nanofluid fuels and emphasized the concentration effect of adding graphite nanoplatelets (GNPs) on these characteristics. It was found that there are a linear increase of density and thermal conductivity, a binomial increase of viscosity, and a binomial influence on surface tension as GNP concentration increases, while the boiling point almost remains constant, and the latent heat of vaporization largely decays. There exists a critical GNP concentration of 1.75 wt % for the evaporation performance. At 0∼1.75 wt %, the increase of GNP concentration benefits the evaporation. At 1.75∼4.0 wt %, the enhancement of GNP concentration deteriorates the evaporation performance. A detailed discussion of this evaporation behavior was made, which could be attributed to multiple factors, for example, the aggregation of nanoplatelets, the changes of physical and heat-transfer properties owing to the nanoparticle concentration effect, the surfactant concentration, and the ambient temperature. The concentration of surfactants has a binomial effect, and the ambient temperature has a linear effect on the evaporation rate. This study would promote in depth understanding of physical and heat-transfer properties and evaporation characteristics of nanofluid fuels and develop the application in turbine engines and ramjet engines.
In
turbine engines and ramjet engines, n-decane
has been considered as a promising alternative fuel for aviation kerosene. n-Decane has good thermal stability, low saturated vapor
pressure, and so on; thus it can meet the large amounts of energy
consumption needs and reduce the CO2 emission.[1,2] The literature revealed that single n-decane species
as well as its binary blends could be used as alternative fuels. For
example, Dagaut et al. indicated that n-decane had
comparable high-pressure oxidation and combustion performance to kerosene.[3,4] Vukadinovic et al. reported that n-decane had similar
laminar burning velocity to kerosene Jet A-1 and confirmed the suitability
of n-decane as a surrogate fuel.[5] Other studies demonstrated that the binary blends of n-decane with other fuels could be suggested as diesel,[6,7] gasoline,[8] and kerosene[9] surrogates, such as n-decane + n-hexane, n-decane + n-propylbenzene, n-decane + benzene, n-decane + toluene, n-decane + ethylbenzene, n-decane + trimethylbenzene, and n-decane
+ propylcyclohexane.[10−14]To further improve the utilization efficiency of n-decane, one possible method is to add nanoparticles (NPs) into n-decane to form suspensions, that is, n-decane-based nanofluid fuels. Nanofluid fuels are a relatively new
class of fuels by suspending NPs (1∼100 nm) within a base fuel
and have demonstrated their potential use in energy conversion and
management systems intended for industrial applications such as automobiles
(IC engines), electronics, nuclear power, and power generation.[15,16] These suspended NPs can be mainly classified into three groups:
(1) metallic NPs (Al,[17−20] B,[21,22] Ce, etc.[23]);
(2) metal-oxide NPs (Al2O3,[24−26] CeO2,[27,28] Fe3O4,[29,30] TiO2,[31] ZnO,[32] CuO,[24] NiO, etc.[33]); and (3) carbon-based NPs (graphite,[34] carbon nanotube,[35] graphene,[36−38] and graphene oxide[39]).
The literature has revealed that the suspended NPs make significant
promotion to the evaporation and combustion characteristics of the
base fuels.Among three types of NPs, metallic and metal-oxide
NPs may cause
the blockage of combustion systems and also may have toxic effects
on living organisms, although they have high energy value. While carbon-based
NPs are eco-friendly because only carbon dioxide and water would be
formed after combustion.[34−39] This motivates us to carry out the study on the n-decane-based nanofluid fuel with adding graphite nanoplatelets (GNPs).
The quantities of added GNPs are critical to influence the physical
and heat-transfer properties, the rise rate of temperature, and the
vaporization rate. Moreover, during evaporation, the GNP concentration
gradually increases as the vaporization of the base fluid evolves,
which would possibly deviate the classical d2-Law.Researchers have sparsely investigated the influence
of concentration
of NPs on the evaporation characteristics of the base fuels.[19,40] For example, Javad studied the evaporation behavior of kerosene
droplets containing dense concentrations (2.5, 5.0, and 7.0% by weight)[19] and dilute concentrations (0.1, 0.5, and 1.0%
by weight)[40] of aluminum (Al) NPs, but
the critical concentration of NPs remained unrevealed. However, the
detailed concentration effect of adding NPs on the evaporation performance
of base fuels has not been studied in depth, and their promotion mechanism
has not been fully revealed. Moreover, the physical and heat-transfer
properties of carbon-based nanofluid fuels have not been measured
and compared in detail with those of the base fuels.Therefore,
this paper mainly aims to: (1) examine the GNP concentration
effect on the physical and heat-transfer properties including density,
surface tension, dynamic viscosity, thermal conductivity, boiling
point, and latent heat of vaporization of the prepared GNP/n-decane nanofluid fuels and then compare with the properties
of n-decane and (2) obtain the critical concentration
of GNPs affecting the evaporation behavior and characteristics at
the optimum surfactant concentration at different ambient temperatures
and further reveal the promotion mechanism of adding GNPs on the evaporation
performance of n-decane.
Results
and Discussion
Density of GNP/n-Decane Nanofluid
Fuels
Density measurement experiments of GNP/n-decane nanofluid fuels under different GNP concentrations (0, 0.1,
0.2, 0.5, 1.0, 2.0, 3.0, and 4.0 wt %) were repeatedly conducted for
five runs. The average densities and the random errors are shown in Figure . Compared to the
base fuel, the density of GNP/n-decane nanofluid
fuels linearly increased with the increase of GNP concentration, and
the relationship between the density ρnf and the
GNP concentration φ follows the formula:
Figure 1
Density
of GNP/n-decane nanofluid fuels under
different GNP concentrations (SP-80 of 0.5 vol %, 25 °C).
Density
of GNP/n-decane nanofluid fuels under
different GNP concentrations (SP-80 of 0.5 vol %, 25 °C).
Dynamic Viscosity of GNP/n-Decane Nanofluid Fuels
Dynamic viscosity measurements
of
GNP/n-decane nanofluid fuels at each GNP concentration
were repeatedly conducted for 10 runs. Figure illustrates that, at a low GNP concentration
of 0∼1.0 wt %, the dynamic viscosity slightly increased with
the added GNPs (the increase ratio was below 5%) compared to the base
fuel. However, at a high GNP concentration of 2.0∼4.0 wt %,
the dynamic viscosity significantly increased with the increasing
GNP concentration, resulting in the intensified shear effect.[41]
Figure 2
Dynamic viscosity of GNP/n-decane nanofluid
fuels
under different GNP concentrations (SP-80 of 0.5 vol %, 25 °C).
Dynamic viscosity of GNP/n-decane nanofluid
fuels
under different GNP concentrations (SP-80 of 0.5 vol %, 25 °C).In this work, the dynamic viscosity of GNP/n-decane
nanofluid fuels was a binomial function of GNP concentration:In which μ
represents the dynamic viscosity. A similar binomial
relationship between the dynamic viscosity of nanofluids and the nanoparticle
concentration was demonstrated in some literature studies, listed
in Table . The dynamic
viscosity represents the volume stress system of nanofluids, and there
are coupled or interactive stable thermodynamic forces between NPs.
This kind of thermodynamic force not only directly affects the volume
stress, but also indirectly affects the relative position of NPs to
the volume stress. The direct and indirect contributions of thermodynamic
force to volume stress correspond to the first- (φ) and second-order
(φ2) terms, respectively.[42]
Table 1
Relationship between the Dynamic Viscosity
of Nanofluids and Nanoparticle Concentration
authors
relationship
Batchelor et al.[41]
μnf = μbf(1 + 2.5φ
+ 6.5φ2)
Chen et al.[42]
μnf = μbf(1 + 10.6φ
+ 10.6φ2)
Wang et al.[43]
μnf = μbf(1 + 7.3φ
+ 123φ2)
Lundgren et al.[44]
μnf = μbf[1 + 2.5φ
+ 6.25φ2 + f(φ3)]
Nguyen et al.[45]
μnf = μbf(1 + 0.0025φ
+ 0.015φ2)
Zhuo et al.[46]
μnf = μbf(1 + 0.0068φ
+ 0.0002φ2)
Surface Tension of GNP/n-Decane
Nanofluid Fuels
Measurement of surface tension was repeatedly
conducted for 10 runs at each GNP concentration, and the results are
shown in Figure .
As the GNP concentration increased, the surface tension of nanofluid
fuels first increased and then decreased, that is, there was a local
maximum at a GNP concentration of ∼2.0 wt %. The phenomenon
has been observed in the Al/n-decane nanofluid fuels.[46] For Al/n-decane nanofluid fuel,
there was a parabolic influence of Al nanoparticle concentration on
the surface tension. The surface tension followed a trinomial fitting
relationship with the Al nanoparticle concentration. In this work,
the surface tension had a binomial function to the GNP concentration.
Figure 3
Surface
tension of GNP/n-decane nanofluid fuels
under different GNP concentrations (SP-80 of 0.5 vol %, 25 °C).
Surface
tension of GNP/n-decane nanofluid fuels
under different GNP concentrations (SP-80 of 0.5 vol %, 25 °C).Bhuiyan et al.[47] and
Chinnam et al.[48] explained that, at lower
concentrations, the
NPs tend to accumulate on the liquid/gas interface and try to get
close to each other. As a result, the gravitational potential energy
(Van Der Waals force) among the NPs increases, thus reducing the average
distance between NPs and base liquid molecules and eventually leading
to the increase of surface tension. As quantities of GNPs were added
into the base fuel n-decane, the surface tension
gradually increased as the GNP concentration increased.Yu et
al.[49] demonstrated that, as the
concentration is further increased, the increase of conformation energy
of the nanoparticle aggregates will enhance the tendency of dissociation,
resulting in a reduction of the surface tension. As the GNP concentration
was increased over than ∼2.0 wt %, the dissociation phenomenon
of GNP aggregates suspended into n-decane would account
for the decrease of surface tension of GNP/n-decane
nanofluid fuels.
Thermal Conductivity of
GNP/n-Decane Nanofluid Fuels
GNPs have low
sphericity, which
were estimated as 0.1∼0.3 in this work. Figure demonstrates the thermal conductivity of
GNP/n-decane nanofluid fuels calculated by eq at each sphericity.
The lower sphericity is, the higher thermal conductivity becomes.
The thermal conductivity of nanofluid fuels linearly increases as
the GNP concentration increases. It should be attributed to the mixing
effect of the base fuel directly adjacent to the NPs. Brownian motion
and induced microconvection and mixing possibly significantly enhance
the macroscopic heat transfer in nanofluid fuels.[50]
Figure 4
Thermal conductivity of GNP/n-decane nanofluid
fuels under different GNP concentrations (without the surfactant of
SP-80).
Thermal conductivity of GNP/n-decane nanofluid
fuels under different GNP concentrations (without the surfactant of
SP-80).
Boiling
Point and Latent Heat of Vaporization
of GNP/n-Decane Nanofluid Fuels
The boiling-point
temperature is one of the critical parameters in determining the evaporation
rate of liquid fuels. Its measurement was conducted for only two runs
because the temperature differences among runs were relatively tiny. Figure shows that the GNP
concentration has little effect on the boiling-point temperatures
of GNP/n-decane nanofluid fuels. The maximum boiling-point
difference is ∼1 °C (<0.6%) in the range of GNP concentrations
of 0∼4.0 wt %.
Figure 5
Boiling points and latent heat of vaporization of GNP/n-decane nanofluid fuels under different GNP concentrations
(without
the surfactant of SP-80).
Boiling points and latent heat of vaporization of GNP/n-decane nanofluid fuels under different GNP concentrations
(without
the surfactant of SP-80).The latent heat of vaporization of nanofluid fuels should be a
function of enthalpy of vaporization of base fuel and NPs and also
NP concentration.[51] From eq , the calculated latent heat of
vaporization of GNP/n-decane nanofluid fuels at each
GNP concentration is shown in Figure . It is observed that the concentration has a significant
effect on the latent heat of vaporization of nanofluid fuels, and
the values decay over 3.6% as the concentration increases by 4%. Chen
et al.[52] reported that, during vaporization,
the variation in the latent heat of vaporization made the droplet
regression deviate from classical d2 Law.
Evaporation Characteristics of GNP/n-Decane Nanofluid Fuels
Evaporation experiments
were first performed for GNP/n-decane nanofluid fuels
under GNP of 0.1 wt %, SP-80 of 1.0 vol %, and Tair of 600 °C. The evaporation was found to mainly underwent
three stages (Figure ): Stage I, Nonisothermal evaporation; Stage II, Isothermal evaporation;
Stage III, Dry out. During isothermal evaporation, the evaporation
rate of a single nanofluid fuel droplet is governed by the so-called d2-Law, which says that the d2 decreases linearly with the evaporation time:
Figure 6
Evaporation of GNP/n-decane
nanofluid fuel (GNP
of 0.1 wt %, SP-80 of 1.0 vol %, and Tair of 600 °C).
Evaporation of GNP/n-decane
nanofluid fuel (GNP
of 0.1 wt %, SP-80 of 1.0 vol %, and Tair of 600 °C).In which t is the evaporation time, d0 is the initial
droplet diameter, d is
the droplet diameter at the evaporation time t, and Ke is the evaporation rate constant.In
convection, the evaporation rate constant of nanofluid droplets
can be expressed asIn which BT is the Spalding mass number,
λg and cp,g represent
the thermal conductivity and specific heat capacity of the gas-phase
base liquid, and Tair and Tboil are the temperature of ambient hot air and the boiling
point of the nanofluid, respectively. Nu is the Nusselt
number, Nu = 2[1 + Re1/2Pr1/3/3], in which Re and Pr represent the Reynolds number and Prandtl
number. eq shows that
the evaporation rate constant depends on the comprehensive physical
and heat-transfer parameters including density, dynamic viscosity,
thermal conductivity, specific heat capacity, boiling point, latent
heat of vaporization, and so on, which would be discussed as follows.To eliminate the effect of the initial diameter of droplets on
the evaporation in discussion, eq could be normalized as:Thus, the
evaporation rate constant can be obtained by linearly
fitting d2/d02 ∝ t/d02.
Effect of Ambient Temperature
on the Evaporation
In eq , the temperature
of ambient hot air significantly affects the evaporation rate constant. Figure a illustrates the
isothermal evaporation rates of GNP/n-decane nanofluid
fuels (GNP 0.1 wt %, SP-80 1.0 vol %) at different ambient temperatures
of 300, 400, 500, 600, and 700 °C. Experiments under each condition
were repeatedly carried out for three runs. The evaporation rate constants
were obtained and plotted in Figure b with different ambient temperatures. With increasing
ambient temperature, the evaporation rate constant significantly increased,
and the relationship is as follows:
Figure 7
(a) Normalized
droplet diameter at different ambient temperatures
(GNP of 0.1 wt %, SP-80 of 1.0 vol %). (b) Evaporation rate constants
with different ambient temperatures.
(a) Normalized
droplet diameter at different ambient temperatures
(GNP of 0.1 wt %, SP-80 of 1.0 vol %). (b) Evaporation rate constants
with different ambient temperatures.By the Taylor series expansion, eq can be expressed asEquation can
keep
the same expression as eq through appropriately first-order truncating, that is,Equations and 8 confirm that
the evaporation rate constant linearly
correlates with the ambient temperature, suggesting that the ambient
temperature scarcely influenced the coefficients a and b which rely on the physical and heat-transfer
properties.
Effect of Surfactant
Concentration on the
Evaporation
Surfactant SP-80 concentration has an effect
on the physical and heat-transfer properties, resulting in the effect
of surfactant concentration on the evaporation of GNP/n-decane nanofluid fuels. GNP concentration was of 0.1 wt %, and the
ambient temperature was kept at 600 °C. Experiments under each
condition were repeatedly carried out for three runs. Figure obviously shows that with
the addition of SP-80, the evaporation rates greatly decreased, because
the surfactant SP-80 has higher density, dynamic viscosity, boiling
point, latent heat of vaporization, and lower thermal conductivity,
compared to the base fuel n-decane.
Figure 8
(a) Normalized droplet
diameter under different SP-80 concentrations
(GNP of 0.1 wt %, Tair of 600 °C).
(b) Evaporation rate constants with different SP-80 concentrations.
(a) Normalized droplet
diameter under different SP-80 concentrations
(GNP of 0.1 wt %, Tair of 600 °C).
(b) Evaporation rate constants with different SP-80 concentrations.
Effect of GNP Concentration
on the Evaporation
GNP concentration plays an important role
in the physical and heat-transfer
properties of GNP/n-decane nanofluid fuels, leading
to a significant effect on the evaporation behavior. From Figure , the evaporation
rate constant was enhanced by adding GNPs into n-decane
compared with that of pure n-decane. In Figure , experiments under
each concentration were repeatedly carried out for five runs. However,
the evaporation rate constant decreased with the further increase
of GNP concentration. The transforming GNP concentration might exist
at a GNP concentration of 1.0∼2.0 wt %. The relationship between
the evaporation rate constant and GNP concentration was obtained by
fitting:
Figure 9
Evaporation rate constants
of GNP/n-decane nanofluid
fuels under different GNP concentrations (SP-80 of 1.0 vol %, Tair of 600 °C).
Evaporation rate constants
of GNP/n-decane nanofluid
fuels under different GNP concentrations (SP-80 of 1.0 vol %, Tair of 600 °C).The maximum evaporation rate constant could be calculated by derivation
of eq . It can be concluded
that the maximum evaporation rate constant was 1.03 mm2/s, when the GNP concentration was of φmax = 1.75
wt%. Compared to the base fluid, the evaporation rate constant increased
by 12.6%.Assuming that the ratio λgNu/ρnfcp, gremains an appropriate
constant, eq could
be similar to eq through
appropriately second-order truncating, that is,It suggests that the latent heat of vaporization
controlled by
nanoparticle concentration is one of the critical parameters to the
evaporation performance, which has been confirmed by Lee et al.[51,53]The discussion stated above concerned with the effect of increasing
the initial nanoparticle concentration dispersed into the base fluid
on the evaporation performance. In addition to the discussion, more
importantly, the enhancement of nanoparticle concentration along with
the evolution of nanofluid evaporation has a significant effect on
the evaporation. Generally, the boiling-point temperatures of the
base fuels are further lower than those of solid NPs, and during the
evaporation of the base fuels, the NP concentration gradually increases.
It would result in that the aggregation intensifies, the physical
and heat-transfer properties change, the evaporation rate correspondingly
nonlinearly fluctuates. To analyze the relationship between the aggregation
of NPs and evaporation characteristics, the traditional dimensionless
number (CR) was introduced.[54] It is defined as the ratio of particle migration
time (τp) to droplet evaporation time (τe), that is,The migration time can be expressed aswhere Lm is the mean distance
between two adjacent NPs, Lm = (Vd/n)1/3, Vd is the volume of
an individual nanofluid droplet, and n is the number
of NPs within the nanofluid droplet. Dp is the diffusion coefficient of NPs, Dp = kBT/6πμr, kB is Boltzmann’s
Constant, T is the temperature of the nanofluid droplet,
and r is the radius of the nanoparticle.In
this work, the initial diameters of nanofluid fuel droplets
are ∼1.0 mm, and the average migration time takes ∼6.4
ms at a GNP concentration of 0.1 wt %. As the GNP concentration was
enhanced until 4.0 wt %, the migration time shortens until ∼0.6
ms. In any GNP concentration range of 0.1∼4.0 wt %, the migration
time of NPs is lower two orders of magnitude than the evaporation
time. It means that the dimensionless number CR calculated from eq is much smaller than 1, and the NPs migrate more quickly
to the droplet surface than the sufficiently long evaporation time.
It would result in forming the assembly structure or aggregates.[54] Therefore, at lower GNP concentrations (≤1.75
wt %), the aggregation was relatively weak, and the evaporation rates
were enhanced with the increase of GNP concentration. Whereas as the
GNP concentration further increased (>1.75 wt %), the number density
increased, the average distances between NPs were largely reduced.
This effect will reduce the aggregation time and increases aggregation
intensity. In particular, at longer times, at the droplet surface,
the agglomerates would generate porous shell structures,[55] resulting in a reduction of the evaporation
rate.
Conclusions
The
concentration (0∼4.0 wt %) of GNPs into n-decane-loaded
surfactant SP-80 has a significant effect on the stability,
physical and heat-transfer properties, and evaporation characteristics.
We obtained the best stability of GNP/n-decane nanofluid
fuels, as the optimum surfactant SP-80 concentration was of 0.5 vol
%, while the optimum ultrasonication time was of 10 min under a GNP
concentration of 0.1 wt %. Single physical and heat-transfer properties
like density, surface tension, dynamic viscosity, thermal conductivity,
boiling point, and latent heat of vaporization relate to the GNP concentration.
As the GNP concentration increases, the density and thermal conductivity
linearly increase; the viscosity has a binomial increase, and the
surface tension has a piecewise influence. The boiling point almost
remains constant, and the latent heat of vaporization largely decays.The evaporation performance depends on the comprehensive physical
and heat-transfer parameters that are related to the nanoparticle
concentration. The evaporation rate constant increases at lower GNP
concentrations because the migration time of NPs is lower two orders
of magnitude than the evaporation time, whereas the evaporation rate
constant decreases with continuously increasing GNP concentration
because of the formation of porous shell structures at the droplet
surface. The evaporation rate constant of GNP/n-decane
nanofluid fuels reaches maximum at a GNP concentration of 1.75 wt
%, which is enhanced by 12.6% compared to the base fuel n-decane. Among these physical and heat-transfer properties, the latent
heat of vaporization is one of the best crucial parameters to affect
the evaporation performance. Additionally, the evaporation rate constant
has a linear function as the temperature of ambient hot air and also
depends on the concentration of the surfactant SP-80.
Experimental Section
Materials
GNPs
were purchased from
Deke Daojin Science and Technology Co., Ltd., Beijing, China. The
purity reached ∼99.9% as observed using inductively coupled
plasma analysis. The specific surface area was found to be 180 m2/g by Brunauer–Emmett–Teller analysis. The size
distribution of GNPs was found to be 100 nm∼1.0 μm using
a particle size analyzer (Nanotrac Flex, Microtrac Co., America).
GNPs were characterized using a scanning electron microscope (SEM,
Quanta 600FEG). The morphology (Figure ) illustrates that the GNPs had a layered,
planar structure, and the layer thickness was of ∼35 nm. The
base fuel n-decane and the surfactant Sorbitan monooleate
(SP-80) were purchased from Macklin Biochemical Co., Ltd., Shanghai,
China. The purity of n-decane and the surfactant
was 98 and 99.5%, respectively. Their physical properties have been
demonstrated in our previous work.[46]
Figure 10
SEM morphology
of GNPs.
SEM morphology
of GNPs.
Preparation
of GNP/n-Decane
Nanofluid Fuels
The n-decane-based nanofluid
fuels with various GNP concentrations were prepared using the two-step
method: (1) Certain weight of GNPs were added into the certain volume
mixture of n-decane and SP-80 to produce suspensions.
(2) A sonicator (frequency of 40 KHz, power of 120 W, YD0203, Shenzhen
Yunyi Technology Co., Ltd., P.R. China) was then used and ultrasonic
waves were exerted for certain time to disperse GNPs evenly in n-decane to avoid agglomeration among GNPs.The stable
dispersibility of NPs is a critical issue in the research and applications
of NPs in liquid fuels. The stability of nanofluid fuels mainly rests
on three aspects, that is, NP concentration, surfactant concentration,
and ultrasonication time. In the present work, the effects of GNP
concentration, surfactant SP-80 concentration, and ultrasonication
time on the stability of GNP/n-decane nanofluid fuels
were investigated in detail. Better stability was observed under lower
GNP concentrations. The obtained optimum surfactant SP-80 concentration
was 0.5 vol %, while the optimum ultrasonication time was 10 min under
a GNP concentration of 0.1 wt % (see Supporting Information). In general, the homogeneous suspension as prepared
in this manner could remain stable for 1 h without significant sedimentation
of GNPs (see Figure ), which is sufficient to conduct the physical and heat-transfer
property and evaporation characteristic test experiments in this work.
The long-term stable dispersibility of NP suspending tens of days/weeks
would need to be further improved.
Figure 11
Pictures of as-prepared GNP/n-decane nanofluid
fuels in sequence (GNP of 0.1 wt %, SP-80 of 0.5 vol %, and ultrasonication
time of 10 min).
Pictures of as-prepared GNP/n-decane nanofluid
fuels in sequence (GNP of 0.1 wt %, SP-80 of 0.5 vol %, and ultrasonication
time of 10 min).
Physical
and Heat-Transfer Properties
The physical properties of GNP/n-decane nanofluid
fuels including density, surface tension, and dynamic viscosity were
measured in detail using the standard density bottle method, Du Noüy
Ring Tensiometer, and Ostwald viscometer, respectively. The measurement
method and the detailed procedure have been described in our previous
work.[46]The literature shows that
the addition of NPs exhibits a significant enhancement of thermal
conductivity in comparison to the base fluid. Lee et al.[56] summarized that there are five groups of models
by the main underlying mechanism to predict the thermal conduction
of nanofluids, including classical effective medium theory (EMT),
nanoscale layers, Brownian motion, agglomeration, and other mechanisms.
In the current work, the thermal conductivity of GNP/n-decane nanofluid fuels was obtained by the classical EMT. The thermal
conductivity of GNPs is 129 W/(m·K), which is much higher than
that of n-decane (0.13 W/(m·K)), that is, kp/kbf ≫ 100.
According to the model developed by Hamilton and Crosser,[50] taking into account irregular particle geometries
by introducing a shape factor of GNPs, the thermal conductivity of
GNP/n-decane nanofluid fuels can be expressed as:where k is
the thermal conductivity, and the subscripts nf, bf, and np represent
the nanofluid fuel, base fuel, and NPs, respectively. φ represents
the GNP concentration, n is the empirical shape factor n = 3/ψ, and ψ is the particle sphericity.The boiling points of n-decane, SP-80, and GNPs
at atmospheric pressure (0.1 MPa) are 447, 852, and 5100 K, respectively.
The boiling points of GNP/n-decane nanofluid fuels
were measured by the atmospheric distillation method.[57] The latent heat of vaporization of GNP/n-decane nanofluid fuels was calculated by a formula proposed by Mehregan
et al.:[58]where hfg is the latent heat of vaporization, ρ is the density,
and Tb is the boiling point. The latent
heat of vaporization of n-decane is 363 kJ/kg at
atmospheric pressure and room temperature.[59] The latent heat of vaporization of solid GNPs is replaced by the
heat of sublimation, that is, 714 kJ/kg.[60]
Experimental Setup for Evaporation
Figure shows the
schematic of the experimental setup, including the hot-air supply
module, droplet suspension and position module, high-speed imaging
and thermal imaging module, and illumination module. In the hot-air
supply module, cold air intake was compressed by an air compressor
and heated in the heating pipe to produce hot air. The volume flux
was adjusted by the intake valve and mass flow controller, and the
volume flow ranged 0∼3 L/min. The temperature of hot air was
controlled by a heating power controller, ranging from room temperature
to 850 °C with a relative uncertainty of less than 2%. The temperature
distribution of hot air in the outlet region of the heating pipe was
calibrated by a K-type thermal couple. Figure shows a calibration example of temperature
field at the outlet of heating tube at a hot air temperature of 600
°C. It is noted that the droplets should be placed into the region
marked “a” and “b” to guarantee the accuracy
of heating temperature.
Figure 12
Schematic of the experimental setup.
Figure 13
Calibration graph of temperature field at the outlet of
the heating
tube (Tair of 600 °C).
Schematic of the experimental setup.Calibration graph of temperature field at the outlet of
the heating
tube (Tair of 600 °C).Therefore, in the droplet suspension and position module,
a precise
manipulator was used to position the droplets into the hot air with
an uncertainty of ±50 μm. In experiment, a droplet was
first produced by an accurate syringe. The droplet was then transferred
and suspended on the tip of the silicon fiber. The silicon fiber installed
at the arm ending of the precise manipulator was moved into the hot
air and ensured the droplet in the temperature region as required.
The initial diameters of droplets almost remained at ∼1.0 mm.
In the high-speed imaging and thermal imaging module, a high-speed
camera (Phantom 310R, America) with a lens (AT-X M100 AF PRO, Tokina,
Japan) was used to record the evaporation videos at a frame ratio
of 30,000 fps. An infrared thermal imaging camera (FLIR 655sc, America)
with a lens of 25 μm resolution was fixed to acquire the surface
temperatures of droplets at a frame ratio of 200 fps. The two cameras
were controlled by a synchronizer to keep the time accuracy of sampling
time. In the illumination module, backlight illumination with a light-emitting
diode lamp and a condenser were utilized to provide the uniform bright
view field for clear imaging.The diameters of droplets were
measured by the digital imaging
treatment reported in our previous work.[61]
Authors: Justin L Sabourin; Daniel M Dabbs; Richard A Yetter; Frederick L Dryer; Ilhan A Aksay Journal: ACS Nano Date: 2009-12-22 Impact factor: 15.881