Ming Gao1, Linlin Wang1, Xiaopeng Chen1, Xiaojie Wei1, Jiezhen Liang1, Luji Li1. 1. School of Chemistry and Chemical Engineering, Guangxi Key Laboratory of Petrochemical Resources Processing and Process Intensification Technology, Guangxi University, Nanning 53004, P. R. China.
Abstract
The Joule-Thomson effect is a key chemical thermodynamic property that is encountered in several industrial applications for CO2 capture and storage (CCS). An apparatus was designed and built for determining the Joule-Thomson effect. The accuracy of the device was verified by comparing the experimental data with the literature on nitrogen and carbon dioxide. New Joule-Thomson coefficient (μJT) measurements for three binary mixtures of (CO2 + N2) with molar compositions x N2 = (0.05, 0.10, 0.50) were performed in the temperature range between 298.15 and 423.15 K and at pressures up to 14 MPa. Three equations of state (GERG-2008 equation, AGA8-92DC, and the Peng-Robinson) were used to calculate the μJT compared with the corresponding experimental data. All of the equations studied here except PR have shown good prediction of μJT for (CO2 + N2) mixtures. The relative deviations with respect to experimental data for all (CO2 + N2) mixtures from the GERG-2008 were within the ±2.5% band, and the AGA8-DC92 EoSs were within ±3%. The Joule-Thomson inversion curve (JTIC) has also been modeled by the aforementioned EoSs, and a comparison was made between the calculated JTICs and the available literature data. The GERG-2008 and AGA8-92DC EoSs show good agreement in predicting the JTIC for pure CO2 and N2. The PR equation only matches well with the JTIC for pure N2, while it gives a poor prediction for pure CO2. For the (CO2 + N2) mixtures, the three equations all give similar results throughout the full span of JTICs. The temperature and pressure of the transportation and compression conditions in CCS are far lower than the corresponding predicted P inv,max and T inv,max for (CO2 + N2) mixtures.
The Joule-Thomson effect is a key chemical thermodynamic property that is encountered in several industrial applications for CO2 capture and storage (CCS). An apparatus was designed and built for determining the Joule-Thomson effect. The accuracy of the device was verified by comparing the experimental data with the literature on nitrogen and carbon dioxide. New Joule-Thomson coefficient (μJT) measurements for three binary mixtures of (CO2 + N2) with molar compositions x N2 = (0.05, 0.10, 0.50) were performed in the temperature range between 298.15 and 423.15 K and at pressures up to 14 MPa. Three equations of state (GERG-2008 equation, AGA8-92DC, and the Peng-Robinson) were used to calculate the μJT compared with the corresponding experimental data. All of the equations studied here except PR have shown good prediction of μJT for (CO2 + N2) mixtures. The relative deviations with respect to experimental data for all (CO2 + N2) mixtures from the GERG-2008 were within the ±2.5% band, and the AGA8-DC92 EoSs were within ±3%. The Joule-Thomson inversion curve (JTIC) has also been modeled by the aforementioned EoSs, and a comparison was made between the calculated JTICs and the available literature data. The GERG-2008 and AGA8-92DC EoSs show good agreement in predicting the JTIC for pure CO2 and N2. ThePR equation only matches well with the JTIC for pure N2, while it gives a poor prediction for pure CO2. For the (CO2 + N2) mixtures, the three equations all give similar results throughout the full span of JTICs. The temperature and pressure of thetransportation and compression conditions in CCS are far lower than the corresponding predicted P inv,max and T inv,max for (CO2 + N2) mixtures.
The
greenhouse gas (GHG) emissions identified as the culprit causing
climate change have received worldwide attention. CO2 emissions
are much higher than the limit recommended by scientists compared
to other greenhouse gases.[1] Carbon capture
and storage (CCS) is arising as key technology that can effectively
slow down the substantial increase in greenhouse gases.[2] The captured CO2transportation and
storage are vital in the CCS process.[3,4] TheCO2 pipeline transportation is the most widely used transportation
mode.[5] Thepressure loss along the pipeline
is inevitable; thus, the Joule–Thomson effect is a key issue
in pipeline transportation.[6] The Joule–Thomson
effect could be a contributing factor leading to a phase transition
in theCO2 steam transportation. Once there are leakages
in the pipeline,[7] the temperature decrease
caused by carbon dioxide flash and throttling expansion will cause
brittle fracture of the pipeline due to supercooling. Another important
aspect of the Joule–Thomson cooling in CCS is the geological
storage process in which the impure CO2 stream would be
injected into depleted hydrocarbon reservoirs or saline aquifers.[8] The injection efficiency and formation permeability
could be influenced by formation of hydrates due to significant Joule–Thomson
cooling of theCO2 stream.[9] The
Joule–Thomson effect has been important thermodynamics in the
study of the CCS applications.Nitrogen is considered to be
one of the most common impurities
present with the captured carbon dioxide in the CCS process, which
can greatly affect the thermodynamic properties of theCO2 stream and the efficiency of pipeline transportation.[10] The research on the (CO2 + N2) mixtures mainly focuses on the thermodynamic properties
relevant to CCS, such as density,[11−13] vapor–liquid
equilibrium,[14,15] viscosity,[16] etc. However, the work on the Joule–Thomson effect
of (CO2 + N2) mixtures has not been reported.At present, most of the research studies on the Joule–Thomson
effect focus on pure substances such as N2, CO2, H2, Ar, He, CH4, C2H2, etc.[17−27] Also, there are also a small number of binary and ternary mixtures’
Joule–Thomson effect reports.[28−31] For binary systems, only (CO2 +CH4)[32] and (CO2 +Ar)[33] systems that contain the
components relevant to CCS have been reported. Due to the difficulty
in constructing experimental devices and measuring the Joule–Thomson
effect, equations of state,[34−36] molecular simulation,[37−39] and computer software modeling[40] have
been popular with mathematical modeling on the Joule–Thomson
effect, in recent years.In this work, a reliable device was
built for measuring the Joule–Thomson
effect, proved with some reported data. Comprehensive μJT measurements were carried out for the binary mixtures of
carbon dioxide with nitrogen (x(N2) =
0.05, 0.10, 0.5) at temperatures from 298.15 to 423.15 K with pressures
up to 14 MPa. Moreover, three equations of state (GERG-2008, AGA8-92DC,
PR) were used to calculate the μJT compared with
the corresponding experimental values. The above three equations were
used to evaluate the performance in predicting the JTIC for CO2 and N2, respectively. Also, a comparison was made
between thepredicted data and available data for the inversion curve
of CO2 and N2. Besides, we also calculated the
JTIC for (CO2 + N2) mixtures using the three
EoSs.
Theoretical Background
The temperature
change caused by thepressure change is called
the Joule–Thomson effect, and the μJT can
be calculated according to the following formulas[41]For H = H(T, P),Equation or 5 must be zero when we predict the
Joule–Thomson inversion curve, and the common form can be obtained
as eq (42)The Joule–Thomson inversion curve (JTIC)
is connected by the points in the P–T region, where the μJT is equal to 0.
Also, the points in the curve divide the Joule–Thomson cooling
region (μJT > 0) and Joule–Thomson heating
region (μJT < 0).[43]In this work, three equations of state including classical
typical
cubic state equation (PR EoS)[44] and multiparametric
equations (GERG-2008[45] and AGA8-92DC[46] EoSs) were used to predict the μJT and JTICs. The detailed information of the three equations of state
is given in the Supporting information.
Experimental Section
Chemicals
Carbon
dioxide (purity
≥99.999%, cylinder number 12797179) and hydrogen (purity ≥99.999%,
cylinder number 182084292) were purchased from Guangdong Huate Gas
Co., Ltd. in Foshan, China. Also, critical parameters of the pure
compositions were obtained from the NIST database[47] for CO2 and N2. Three (CO2 + N2) binary mixtures were also supplied by Guangdong
Huate Gas Co., Ltd., China. The molar composition (0.95 CO2 + 0.05 N2, cylinder number 206801101), (0.90 CO2 + 0.10 N2, cylinder number 206801059), and (0.50 CO2 + 0.50 N2, cylinder number 204114127) mixtures
were prepared following the method of GB/T 5274-2008[48] (Chinese National Standards) and used without further purification.
Apparatus and Procedure
The μJT measurement device is schematically shown in Figure . The whole apparatus was divided
into the following three parts: gas supply part, experimental section,
and circulating pressurization part. Thegas supply part provides
gaseous mixtures from a specific cylinder with a volume of 40 L to
a mass flowmeter monitoring the mass flow rate of gases. Thegases
then flow into a thermostatic heater, which could control thegas
temperature. High-precision temperature sensors are set to monitor
the temperature of gases. Temperature sensors have a temperature range
of −173.15 to 523.15 K with a precision of ±0.1 K. When
thegas temperature is constant, we could regulate the throttle valve
to control the Joule–Thomson effect. The throttle valve is
made of the splicing of large diameter pipelines and small diameter
pipelines. To create a thermal insulation environment, a thick thermal
insulation material should be attached to the throttle valve. Meanwhile,
high-precision sensors were installed before and after throttling
the experimental part. Each pressure sensor has a precision of ±0.01
MPa and a maximum range of up to 40 MPa. The entire pipeline is designed
as a closed circuit and is circulated and supplied by a pneumatic
compressor. The pneumatic booster pump is powered by an air compressor,
which can provide a maximum boost of 0.7 MPa. The pneumatic booster
pump has a maximum pressure of 25 MPa. A gas storage tank composed
of two industrial gas cylinders is used to store mixed gas. Each cylinder
has a volume of 40 L and pressures up to 15 Mpa.
Figure 1
Schematic diagram of
the μJT measurement apparatus:
1, gas cylinder; 2, three-way valve; 3, needle valve; 4, mass flowmeter;
5, needle valve; 6, numerical control thermometer; 7, temperature
sensor; 8, needle valve; 9, pressure sensor; 10, Joule–Thomson
valve; 11, temperature sensor; 12, pressure sensor; 13, three-way
valve; 14, gas boost pump; 15, air supply compressor; 16, needle valve;
17, three-way valve; and 18, 19; gas storage.
Schematic diagram of
the μJT measurement apparatus:
1, gas cylinder; 2, three-way valve; 3, needle valve; 4, mass flowmeter;
5, needle valve; 6, numerical control thermometer; 7, temperature
sensor; 8, needle valve; 9, pressure sensor; 10, Joule–Thomson
valve; 11, temperature sensor; 12, pressure sensor; 13, three-way
valve; 14, gas boost pump; 15, air supply compressor; 16, needle valve;
17, three-way valve; and 18, 19; gas storage.The operation process for the μJT measurements
is as follows: open the screws of cylinders #1, #18, and #19 to supply
gases. We can adjust the flow of thegases by regulating needle valves
#3 and #5. We must set the numerical control constant temperature
heater in advance according to the experimental requirements. The
temperature sensors #7 (T1) and #11 (T2) were set to monitor the temperature before
and after the experimental throttling process. When thepressure and
temperature reach the desired value, we could regulate the needle
valve 8# and read thepressure value on pressure sensor #9 (P1). The values on temperature sensor #10 (T2) and pressure sensor #12 (P2) represent the temperature and pressure after throttling,
respectively. In the experiment, to ensure that the experimental gas
can be recycled, we need to turn on the pneumatic booster pump #14.
Before starting the booster pump, we need to turn on the air compressor
#15 to provide power.Also, μJT can be calculated
asThe uncertainty
calculation method followed
GUM.[49] Temperature standard uncertainty uc(T) is given by the manufacturer
of ±0.029 K. Taking into account the temperature calibration
and drift, oscillation, etc., the expanded uncertainty in temperature U(T) is about 0.080 K (k = 2). Also, thepressure standard uncertainty uc(P) is ±0.0029 MPa. Also, considering
the drift of calibration pressure, the expanded uncertainty in pressure U(P) is about 0.0070 MPa (k = 2). The standard uncertainties of μJT are further
obtained based on the experimental variance of μJT in repeated measurements. The standard uncertainty uc(μJT) is 0.008 K·MPa–1 for
CO2 and 0.005 K·MPa–1 for N2. Also, the absolute expanded uncertainties U(μJT) (k = 2) for all (CO2 + N2) mixtures are about 0.0017–0.0029 K·MPa–1.
Results and Discussion
Experiment System Verification
Within
the scope of verifying the new self-built μJT measurement
device, experiments on pure CO2 and pure N2 were
carried out. We measured the μJT for pure CO2 in the range 303.15–423.15 K and pressures up to 14
MPa. At the same time, similar tests were carried out on N2 at 293.15–423.15 K and pressures between 0.1 and 14 MPa.
The data for pure substances are compared with the existing relevant
literature data[21,50] and shown in Figure a,b. AAD is the average absolute
deviation defined by eq ; AA%D is the average absolute percentage deviation defined by eq . The AAD and AA%D for
pure CO2 and N2 on μJT of experimental
data from this work along with other literature data are shown in Tables and 2.As can be seen in Table , the experimental
data for CO2 show desirable agreement with the experimental
data reported by
Roebuck et al. and Wang et al. The high AA%D between this work and
Roebuck et al. data occurring in μJT is 1.5–2%,
while it is 4–5% with Wang et al. data at 303.15 and 323.15
K. The data in the critical region have a higher deviation due to
the drastic change in thermophysical properties. With an increase
in temperature, the AA%D and AAD become smaller, which is also in
line with the law reported by Wang et al. According to Wang, the deviations
in the supercritical state and liquid state are larger than that of
thegas state, and the deviation between average absolute errors between
Wang and Roebuck is 4.93%.[50] As shown in Table , the AAD between
theN2-μJT data measured in this work
and the existing one[17] is small, about
0.1 K·MPa–1 in a wide range of temperature.
The AA%D increased with increasing temperature, from 0.33% at 298.15
K to 1.58% at 423.15 K. It also can be seen from Figure that our results are in good
agreement with theN2-μJT and CO2-μJT data. Thus, the device we built highly meets
the accuracy for experimental measurements.
Figure 2
Comparison of μJT measured by this experimental
system with data from the literature for (a) CO2.[21,50] and (b) N2.[17]
Table 1
Average Absolute Deviation (AAD) and
Average Absolute of Percentage Deviation (AA%D) between the μJT Values Measured for Pure CO2 in This Work and the Literature Data[21,50]
μJT data for CO2
Roebuck
et al.
Wang et al.
T/K
AA%D
AAD/K·MPa–1
AA%D
AAD/K·MPa–1
303.15
2.01
0.12
4.28
0.07
323.15
1.48
0.08
5.87
0.26
373.15
0.67
0.03
1.26
0.07
398.15
0.70
0.03
2.43
0.12
423.15
0.72
0.03
2.13
0.09
Table 2
Average
Absolute Deviation (AAD) and
Average Absolute of Percentage Deviation (AA%D) between the μJT Values Measured for Pure N2 in This Work and the Literature Data[17]
μJT data for N2
experimental vs Roebuck et al.
T/K
AA%D
AAD/K·MPa–1
298.15
0.33
0.01
323.15
0.75
0.01
348.15
0.87
0.01
373.15
0.78
0.01
398.15
1.32
0.01
423.15
1.58
0.01
Comparison of μJT measured by this experimental
system with data from the literature for (a) CO2.[21,50] and (b) N2.[17]
Joule–Thomson Coefficients of the CO2 + N2 Mixtures
The μJT measurements of
three (CO2 + N2) binary mixtures
with the compositions (xN =
0.05, 0.10, and 0.50) were based on the existing reported literature
studies.[51−53] Measurements were performed at six temperatures of
298.15, 323.15, 348.15, 373.15, 398.15, and 423.15 K and pressures
from 0.1 to 14 MPa, and the results are shown in Figure .
Figure 3
P–T–μJT plots for (1 – x)CO2 + xN2 binary
mixtures CO2 with mole
fractions: (a) x = 0.05, (b) x =
0.10, and (c) x = 0.50 at six temperatures: 298.15–423.15
K and pressure up to 14 MPa.
P–T–μJT plots for (1 – x)CO2 + xN2 binary
mixtures CO2 with mole
fractions: (a) x = 0.05, (b) x =
0.10, and (c) x = 0.50 at six temperatures: 298.15–423.15
K and pressure up to 14 MPa.Figure a–c
shows a uniform law, that is, increasing the temperature decreases
the μJT of mixtures and increasing thepressure also
decreases the μJT of mixtures. In the region of high
temperatures and high pressures, the cooling effect of gas throttling
expansion will be weakened, which is similar to the existing literature.[50] In Figure a–d, the effect of nitrogen concentration in
mixtures on μJT and temperature decrease (ΔT) can be seen at 298.15 and 323.15 K. Figure a shows the comparison on μJT between pure CO2 and binary mixtures with different
contents of nitrogen at 298.15 K. It is clear that the Joule–Thomson
coefficients of pure CO2 decrease significantly above 7.3
MPa, while the decrease of the mixture of xN = 0.05 and 0.1 M concentrations are slower than that
of pure CO2. Figure b shows the effect of different concentrations on temperature
decrease (ΔT) at the same initial temperature
(298.15 K), which follows the same trend as that in Figure a. In Figure b, the Joule–Thomson cooling effect
of pure CO2 below 7.3 MPa is stronger than that of (CO2 + N2) mixtures, while the temperatures after throttling
(T2) of mixtures above 7.3 MPaare lower
than that of pure CO2. Moreover, the Joule–Thomson
cooling effect of (0.5 CO2 + 0.5 N2) is stronger
than the mixtures with (xN2 = 0.05, 0.10)
and pure CO2. The main reason for this phenomenon is that
the addition of N2 changes the critical point and the two-phase
zone. Figure c,d,
respectively, depicts the μJT and ΔT comparison of pure CO2 and (CO2 +N2) mixtures at 323.15 K. Figure c,d shows a similartrend that the Joule–Thomson
cooling effect of pure CO2 is more significant than that
of the mixtures below 9 MPa, but when thepressure is above 10 MPa,
the effect of the mixtures (xN = 0.05, 0.10) is significant than that of pure CO2. At
323.15 K, the μJT and ΔT of
the equimolar mixture are also greater than those of pure CO2 when thepressure above 12 MPa.
Figure 4
Comparison between the μJT and ΔT of pure CO2 and the experimental
μJT for CO2 + N2 binary mixtures
at 298.15
K and 323.15 K for (a) μJT at 298.15 K, (b) ΔT at 298.15 K, (c) μJT at 323.15 K, and
(d) ΔT at 323.15 K.
Comparison between the μJT and ΔT of pure CO2 and the experimental
μJT for CO2 + N2 binary mixtures
at 298.15
K and 323.15 K for (a) μJT at 298.15 K, (b) ΔT at 298.15 K, (c) μJT at 323.15 K, and
(d) ΔT at 323.15 K.
Modeling
The experimental μJT data for mixtures were compared to the corresponding μJT calculated from the GERG-2008 EoS,[45] the AGA8-DC92 EoS,[46] and thePR EoS[44] using REFPROP software.[47] These three equations are very representative. The GERG-2008 EoS,
based on a multifluid mixture model explicit in the reduced Helmholtz
energy, has 21 considered components, has a wider range of temperature
and pressure, and contains department functions and mixing parameters
that were fitted by experimental data. Also, the GERG-2008 EOS plays
an important role in the field of CCS engineering application. The
AGA8-DC92 equation is a high-precision extended virial equation of
state proposed by the International Organization for Standardization
(ISO) based on the calculation of natural gas compressibility factor
and is commonly used in theproperty calculation of the (CO2 + N2) binary system. ThePR equation is selected to test
theprediction ability of the classical cubic equation for μJT. The relative deviations (AA%D) of experimental μJT data from values calculated from the above three EoSs are
calculated using eq .Figure a shows the relative deviations between the
GERG-2008 EoS
and experimental data for the (0.95 CO2 + 0.05 N2) mixture, Figure b for the (0.90 CO2 + 0.10 N2) mixture, and Figure c for the (0.50 CO2 + 0.50 N2) mixture over the whole temperature
and pressure range measured. It is clear that the deviations increase
with increasing concentration of N2. For the GERG-2008
EoS, the deviations at high temperatures are smaller than those at
low temperatures.The deviation of the (0.95 CO2 + 0.05
N2) mixture from the experimental value is within 1%, the
(0.90 CO2 + 0.10 N2) mixture is within 1.5%,
and the (0.50 CO2 + 0.50 N2) mixture is within
2.5%. Figure a–c
shows the relative deviations between the AGA8-92DC EoS and experimental
data for the three mixtures. Theprediction ability of AGA8-92DC EoS
on μJT behaves well but worse in the range of high
temperatures. The overall deviation of the three mixtures is within
3%. The relative deviations between thePR EoS and experimental data
for the above three mixtures are shown in Figure a–c.
Figure 5
Relative deviations in μJT of experimental μJT data for three (CO2 + N2) mixtures
from μJT values calculated from the GERG-2008 equation
of state vs pressure for (a) binary (0.95 CO2 + 0.05 N2), (b) (0.90 CO2 + 0.10 N2), and (c)
(0.50 CO2 + 0.50 N2) mixtures.
Figure 6
Relative deviations in μJT of experimental μJT data for three (CO2 + N2) mixtures
from μJT values calculated from the AGA8-92DC equation
of state vs pressure for (a) binary (0.95 CO2 + 0.05 N2), (b) (0.90 CO2 + 0.10 N2), and (c)
(0.50 CO2 + 0.50 N2) mixtures.
Figure 7
Relative deviations in μJT of experimental μJT data for three (CO2 + N2) mixtures
from μJT values calculated from the PR equation of
state vs pressure for (a) binary (0.95 CO2 + 0.05 N2), (b) (0.90 CO2 + 0.10 N2), and (c)
(0.50 CO2 + 0.50 N2) mixtures.
Relative deviations in μJT of experimental μJT data for three (CO2 + N2) mixtures
from μJT values calculated from the GERG-2008 equation
of state vs pressure for (a) binary (0.95 CO2 + 0.05 N2), (b) (0.90 CO2 + 0.10 N2), and (c)
(0.50 CO2 + 0.50 N2) mixtures.Relative deviations in μJT of experimental μJT data for three (CO2 + N2) mixtures
from μJT values calculated from the AGA8-92DC equation
of state vs pressure for (a) binary (0.95 CO2 + 0.05 N2), (b) (0.90 CO2 + 0.10 N2), and (c)
(0.50 CO2 + 0.50 N2) mixtures.Relative deviations in μJT of experimental μJT data for three (CO2 + N2) mixtures
from μJT values calculated from thePR equation of
state vs pressure for (a) binary (0.95 CO2 + 0.05 N2), (b) (0.90 CO2 + 0.10 N2), and (c)
(0.50 CO2 + 0.50 N2) mixtures.In conclusion, the GERG-2008 equation has the best prediction
on
the μJT for the (CO2 + N2)
mixture, and the fitting data can also meet the experimental data
better in the critical region. AGA8-92DC is second only to GERG-2008
and also shows good performance in predicting. ThePR EoS gives poor
prediction on the μJT value for (CO2 +N2) mixtures.The Joule–Thomson inversion
curve (JTIC) is connected by
the points where the Joule–Thomson coefficients are equal to
zero, which divide the working range of cooling and heating of substances.
Thearea inside the curve where the μJT > 0 belongs
to the cooling area, while thearea outside the curve is completely
opposite. The μJT < 0 belongs to theheating area
of the JTIC.[41] Since most of the points
on the curve are in the extremely harsh temperature and pressure range
that is difficult to reach, it is currently popular to evaluate the
JTIC using the equations of state. The calculation of the JTIC is
also a huge test for the equations of state because the calculation
of the JTIC is more complicated and contains pressure derivatives.[54]In this work, the above three equations
are used to calculate the
JTICs for (CO2 + N2) mixtures. We first select
CO2 and N2 as test cases to calculate the JTICs
using the above equations, and the results are shown in Figure a,b. The comparison between
literature values[20−22] and calculated JTIC for carbon dioxide is shown in Figure a. The Span and Wagner
equation of state[55] is considered to be
the reference equation for estimating the physical properties of pure
CO2 and is also used to evaluate the JTIC. As can be seen
from Figure a, GERG-2008
EoS and AGA8-92DC EoS are in good agreement with the Span and Wagner
equation of state, but thePR EoS is slightly different from it. The
GERG-2008 and AGA8-92DC EoSs predict well with the experimental values
of Price et al.[22] and de Groot et al.,[20] while it shows some difference with the Roebuck
et al.[21] in the low-temperature branch.
The GERG-2008 and AGA8-92DC EoSs provide more reliable predictions
on pure CO2 than thePR. Also, JTIC for pure N2 using the same EoSs is depicted in Figure b. Based on the obtained results, GERG-2008,
AGA8-92DC, and PR EoSs provide nearly the same results for nitrogen
JTIC. Thepredictions of these three EoSs are of high satisfaction
with the experimental data,[17,19] except that the maximum
inversion pressure and its corresponding temperature are slightly
different. The calculations of μJT and JTIC from
the three equations show that the order of good prediction is GERG-2008
> AGA8-2008 > PR equation. The comparison is in accordance with
theprevious study,[55] indicating that GERG-2008
has a clear advantage over cubic EoSs in the calculation of Joule–Thomson
coefficients. Some researchers[35,36] also confirmed that
the multiparameter equations are superior to the cubic equations on
the Joule–Thomson effect.
Figure 8
Comparison between calculated JTICs and
experimental data from
the literature for (a) pure CO2 and (b) pure N2.
Comparison between calculated JTICs and
experimental data from
the literature for (a) pure CO2 and (b) pure N2.Figure shows the
calculated JTIC from the above three EoSs for (0.95 CO2 + 0.05 N2). In Figure , the GERG-2008 and AGA8-92DC equations show similar
results on the low-temperature branch, and they show some similarity
with thePR equation. On the high-temperature branch, the GERG-2008
and PR equations almost coincide, but the AGA8-92DC equation is quite
different from them. The Joule–Thomson inversion curves of
mixture (0.90 CO2 + 0.10 N2) calculated by the
same equations are shown in Figure . As illustrated in Figure , three equations meet consistently on the
low-temperature branch, while they show some differences on the high-temperature
branch. Figure shows
the calculated Joule–Thomson inversion curves from these three
EoSs for (0.50 CO2 + 0.50 N2). Three predicted
curves show desirable agreement at low temperatures. The AGA8-92DC
and PR equations almost coincide, and they are slightly larger than
thearea covered by GERG-2008 in the low-temperature branch.
Figure 9
Predicted Joule–Thomson
inversion curves for (0.95 CO2 + 0.05 N2) using
GERG-2008, AGA8-92DC, and PR
equations of state.
Figure 10
Predicted Joule–Thomson
inversion curves for (0.90 CO2 + 0.10 N2) using
GERG-2008, AGA8-92DC, and PR
equations of state.
Figure 11
Predicted Joule–Thomson
inversion curves for (0.50 CO2 + 0.50 N2) using
GERG-2008, AGA8-92DC, and PR
equations of state.
Predicted Joule–Thomson
inversion curves for (0.95 CO2 + 0.05 N2) using
GERG-2008, AGA8-92DC, and PR
equations of state.Predicted Joule–Thomson
inversion curves for (0.90 CO2 + 0.10 N2) using
GERG-2008, AGA8-92DC, and PR
equations of state.Predicted Joule–Thomson
inversion curves for (0.50 CO2 + 0.50 N2) using
GERG-2008, AGA8-92DC, and PR
equations of state.The maximum inversion
pressure (Pinv,max), corresponding temperature
(Tinv,i),
and maximum inversion temperature (Tinv,max) are very significant parameters for JTICs. When thepressure or
temperature of the actual working condition is greater than Pinv,max or Tinv,max, it will produce a heating effect. ThePinv,max, Tinv,i, and Tinv,max for pure substances and three (CO2 + N2) mixtures were calculated by the aforementioned EoSs and
are shown in Table . As we can see from Table , the calculated Pinv,max, Tinv,i, and Tinv,max for pure CO2 and N2 from three EoSs were very
similar. For the (CO2 + N2) mixtures, the obtained Pinv,max and Tinv,i were similar, except for (0.5 CO2 + 0.5 N2); theTinv,max of thePR equation is
slightly smaller than the other two equations. Compared with pure
CO2, thePinv,max and Tinv,max of the (CO2 + N2) mixtures decrease with the increasing nitrogen concentration. The
reported pressure range of CO2 pipeline transport in the
CCS process is between 7.5 and 20 MPa, and the temperature range is
between 218.15 and 303.15 K.[53] CO2 storage is carried out at temperatures from 277.15 to 423.15 K and
pressures between 0.1 and 50 MPa. As can be seen from Table , the temperature and pressure
of thetransportation and compression conditions are far less than
the corresponding Pinv,max and Tinv,max for (0.95 CO2 + 0.05 N2) and (0.90 CO2 + 0.10 N2). In the actual
CCS throttling processes, the (CO2 + N2) mixtures
will produce a cooling effect.
Table 3
Calculated Maximum
Inversion Pressure Pr,max, Corresponding
Temperature Tr,i, and Maximum Inversion
Temperature Tr,max
component
EOS
Pr,max
Tr,i
Tr,max
CO2
GERG-2008
92.48
590.00
1353.80
AGA8-92DC
92.45
600.00
1353.65
PR
98.00
568.00
1155.50
N2
GERG-2008
39.40
283.00
608.62
AGA8-92DC
39.11
300.00
607.88
PR
39.44
280.00
599.42
0.95 CO2 + 0.05 N2
GERG-2008
90.14
560.00
1316.78
AGA8-92DC
92.25
600.00
1312.10
PR
93.95
600.00
1310.00
0.90 CO2 + 0.10 N2
GERG-2008
84.35
577.00
1279.30
AGA8-92DC
88.01
500.00
1275.00
PR
92.00
520.00
1110.60
0.50 CO2 + 0.50 N2
GERG-2008
66.80
460.00
983.35
AGA8-92DC
70.00
436.95
978.75
PR
68.00
448.00
908.70
Conclusions
A set of reliable experimental apparatus was built to specifically
investigate the Joule–Thomson effect. μJT experimental data for pure carbon dioxide in the temperature
range of 303.15–423.15 K and at pressure up to 14 MPaare compared
with Roebuck’s data,[21] and the relative
deviation is within 1.36%. For pure nitrogen, the relative deviation
between the μJT experimental data and the existing
literature data[17] is within 0.94% at six
isotherms between 298.15 and 423.15 K at pressure 0.1–14 MPa.
The results indicate that the apparatus can better meet the accuracy
for measurement and industrial needs.New μJT measurements for three binary mixtures
of (CO2 + N2) with molar compositions xN = (0.05, 0.10, 0.50) were performed
in the new experimental apparatus at the temperature range between
298.15 and 423.15 K and at pressures up to 14 MPa. The experimental
data for the three (CO2 + N2) mixtures are in
agreement with the reported literature: as the temperature and pressure
increase, the μJT values decrease.[50] Adding nitrogen will change the phase equilibrium and thus
the critical parameters, compared with pure carbon dioxide. Compared
to the throttling process of pure CO2, thenitrogen-containing
CO2 streams first enter the two-phase zone. At 298.15 K,
when thepressure is above the critical pressure (near 7.3 MPa), the
throttling effect becomes more significant, and the throttling temperature
decreases in thepresence of mixed gases of N2, compared
with pure CO2.The new experimental data were compared
with the corresponding
μJT calculated from GERG-2008, AGA8-DC92, and PR
EoSs. The relative deviations of the experimental data for all (CO2+ N2) mixtures from the GERG-2008 were within the
±2.5% band and from the AGA8-DC92 EoS were within ±3%. ThePR EoS shows a bad prediction of μJT for (CO2 + N2) mixtures, and the relative deviation is
as high as 10%. The poor μJT description of thePR
equation is mainly due to its simple form. Therefore, it can be concluded
that experimental data agree well with the values estimated by GERG-2008
and AGA8-92DC but not PR EoS.The aforementioned equations were
also tested to predict the Joule–Thomson
inversion curves for pure and binary systems. The obtained results
compared with reported literature depicted that the GERG-2008 and
AGA8-92DC EoSs show good agreement in predicting the JTIC for pure
CO2 and N2. ThePR equation only matches well
with the JTIC for pure N2, while it gives a poor prediction
for pure CO2. For the three (CO2 + N2) mixtures, the three equations all give similar results throughout
the full span of JTICs, while thePinv,max values from AGA8-92DC and PRare slightly larger than that from
GERG-2008. The GERG-2008 and AGA9-92DC EoSs are more reliable and
satisfactory than thePR EoS on theprediction of JTICs. The calculated Pinv,max and Tinv,max show that the (CO2 + N2) mixtures will produce
a throttling cooling effect under transportation and compression conditions
in CCS processes. In this work, the experimental data on μJT for the (CO2 + N2) mixtures could
offer some information for actual CCS applications and fill the blank
of the corresponding thermodynamic database.