4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa Numerical study on fast filling of 70 MPa hydrogen vehicle cylinderhydrogen vehicle cylinder
Gesi Liu, Yongzhi Zhao, Yanlei Liu, Jinyang Zheng, Yuntang He
Institute of Process Equipment
Zhejiang University, Hangzhou, P. R. China
September 12, 2011
ICHS2011-#109
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Zhejiang University is located in Hangzhou which is near Shanghai, P.R. China.
Hangzhou(30°15'9.44"N, 120° 9'54.36"E) by Google Earth
180k
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1h tr
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Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
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4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
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Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
Contents
4
Introduction1
2
3
Mathematic model
Results and discussion
Conclusions
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Hydrogen has been recognized as an ideal energy carrier for stationary and mobile applications. The industrialization of hydrogen economy needs systems integration.
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
In demands of 500 km driving range with one charge for HFCV, 70 MPa gaseous hydrogen storage system with high hydrogen storage density has become one of the most developed solution. High pressure gaseous hydrogen storage is normally achieved by two kinds of on-board cylinders (type 3 and type 4), which are made of carbon fiber reinforced polymer (CFRP) and certain liner (metal liner for type 3 cylinder, non-metal one for type 4).
HFCV CFRP cylinder
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
For commercialization of HFCV, fast filling of on-board cylinder is necessary, which may lead to significant temperature rise within the cylinder. That may cause failure of cylinder and under-filling. So the maximum temperature within the cylinder is restricted below 85ºC by available standards and codes such as :
ISO/TS 15869 Gaseous hydrogen and hydrogen blends - Land Vehicle Fuel Tanks, International Standard Organization.
SAE J 2601 Fueling Protocols for Light Duty Gaseous Hydrogen Surface Vehicles, Society of Automotive Engineers.
To avoid risks caused by temperature rise, it is essential to conduct research on the mechanism and control methods of temperature rise.
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Many investigators have done experiments, simulations and theoretical studies on issues of the fast filling:
Most of the researches on fast filling concentrate on the cases with the working pressure of 35 MPa, e.g. Monde et al. (2007), Liu et al. (2010), Dicken et al. (2007, 2008), Heitsch et al. (2011), Zhao et al. (2010), Kim et al. (2010), Hiroshi et al. (2006), Toshihiro et al. (2008), etc.
Fast filling experiments of 70 MPa cylinder have been done by Hiroshi et al. (2006) and Khan et al. (2009).
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
The aforementioned researches shows that:
For 35MPa cases with type 3 cylinder, the problem of temperature rise is relatively small.
However, normal filling procedure for type 4 cylinder may lead to higher temperature rise than that of type 3.
For 70MPa cases with both kinds of cylinders, the final maximum temperature with normal filling procedure may be unexpected high and intolerable at relatively high atmosphere temperature.
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Our group has been engaged in the rapid filling of HFCV for several years. Experiments and simulations on 35MPa HFCV storage system have been done. The published results on fast filling of HFCV cylinder include:
Liu et al. (2010) investigated the thermal behaviors such as temperature rise and distributions inside 35 MPa (150 L, type 3) hydrogen storage cylinders during its refueling by experiments. Zhao et al. (2010) investigated the effects of different average mass filling rates, initial pressure within cylinder and ambient temperature on the maximum temperature rise during refueling by numerical simulation.
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Experiment devices of 35MPa fast filling (150 L, type 3 cylinder)
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Hydrogen refueling station (70MPa available)
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Our group is now engaging in the issues of 70MPa HFCV storage system. This paper is a predicting study for the experiments of 70MPa fast filling process which has just been done few days ago. And the test cylinder (74L, type 3) and experiment devices are shown in the following pictures:
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
1. Introduction
Pre-cooling device Online monitoring system
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
Structure diagram of the test 70MPa HFCV cylinder is shown below. The volume of the type 3 cylinder is 74 L. The diameter of inlet pipe is 10 mm. The simulated cylinder is treated as a combination of two parts: fiber layer and aluminum alloy liner.
1. Introduction
aluminum alloy liner
fiber layer
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
2. Mathematic model
2.1 AssumptionsA 2-dimensional axisymmetrical CFD model is presented, including: A jet-modified standard k - model and a real gas model. Assumptions proposed for simplifying the model are described as follows:
Heat exchange coefficient of natural convection and the ambient temperature are considered as constant;The model is based on 2-dimensional axisymmetrical algorithm, and buoyancy effect is neglected.Temperature of inlet gas is considered as constant, which is equal to ambient temperature.Initial temperature of the whole system is considered as the ambient temperature. And the initial pressure is stable at the very beginning of the filling process. The gas inlet is treated as pressure inlet.
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
2. Mathematic model
2.2 Equations
( ) 0
i
i
ut x
The law of conservation of momentum yields the equations below:
2( ) ( )
3
i jji li i j ij
j i j j i l j
u uuu upu u u
t x x x x x x x
The mass conservation equation:
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
2. Mathematic model
2.2 Equations
The turbulence kinetic energy k and its rate of dissipation are obtained from the following transport equations:
ti k M
i j k j
kk ku G Y
t x x x
2
1 2t
i ki j j
u C G Ct x x x k k
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
2. Mathematic model
2.2 Equations
As the varying range of the hydrogen properties during the fast filling is quite large, a real gas model must be adopted.
The modified Benedict-Webb-Rubin equation of state has good accuracy:In the region between 250 and 450 K and at pressures from 0.1 to 300 MPa, the uncertainty in density is 0.04%. Speed of sound data are represented within 0.5% below 100 MPa. The estimated uncertainty for heat capacities is 1.0%. The uncertainty in thermal conductivity is estimated to 10% below 700 atm. The uncertainty in viscosity ranges from 4% to 15%.
In this model, the modified Benedict-Webb-Rubin equation of state is applied for calculating the properties of hydrogen gas, and the detail can be found in Younglove and Mclinden (1994).
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
2. Mathematic model
This model gives a good match of the previous 35 MPa experiment data of Liu et al (2010).For instance, the mass average temperature rise of gas vs. time curve is shown in left for the case, which is initialized with 3 MPa and charged with linear pressure-rise pattern. The simulation results generally agree with the experiment data. The deviation may be mainly caused by the nonlinearity of experiment pressure-rise pattern, while the pattern of simulation is exactly linear.
2.3 Comparison with previous data
0 10 20 30 40 50 60 700
10
20
30
40
50
60
70
Tem
pera
ture
ris
e (K
)
Time (s)
Simulation Experiment
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
2. Mathematic model
For different cases, the inlet pressure-rise patterns shown in left are set respectively.The temperature of inlet gas for all cases is assumed as the ambient temperature, and similarly initial pressure is 2 MPa.The red group of cases is analyzed for effects of different filling time .The blue group is for effects of different pressure-rise patterns.
0 30 60 90 120 150 180 210 2400
10
20
30
40
50
60
70
Inle
t gau
ge p
ress
ure
(MPa
)
Time (s)
120s 240s 180s_p1 180s_p2 180s_p3 180s_p4
2.4 Inlet settings
Red group of different filling time
Blue group of different pressure-rise patterns
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
3. Results and discussion
3.1 Characteristics of temperature fieldTemperature contour of the cylinder after 160 seconds for the case of 180s_p1
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
3. Results and discussion
For instance, temperature contour in previous page shows characteristics of temperature field. And there are similar characteristics for all cases:
There is significant temperature gradient in interlaminar area between the aluminum alloy liner and CFRP layer, which may caused by the low thermal conductivity of CFRP.
The highest temperature of hydrogen gas usually appears in the near-wall space around far end enclosure.
Because of jet effect, there is also remarkable temperature gradient along the jet path.
The standard deviation of hydrogen gas temperature with cylinder (excluding the jet path) is relatively small, which shows good temperature homogeneity.
3.1 Characteristics of temperature field
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
3. Results and discussion
As shown in left, the curves show that the maximum temperature rise decreases with the increasing of filling time. That may be caused by the discrepancy among different conditions of heat dissipation. The discrepancy means that the efficiency of cylinder heat dissipation is related to pressure-rise rate.
3.2 Effects of different filling time:
0 30 60 90 120 150 180 210 2400
10
20
30
40
50
60
70
Tem
pera
ture
ris
e (K
)
Time (s)
120s 180s 240s
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
3. Results and discussion
As shown in left, the mass flow rate of inlet section rises rapidly to a certain limit in the first few seconds. Then the rate is falling down nonlinearly during the residual filling time, which indicates the real gas effects of hydrogen gas. And nonlinearity level of mass flow rate curve increases with the decreasing of the filling time.
3.2 Effects of different filling time:
0 30 60 90 120 150 180 210 2400.005
0.010
0.015
0.020
0.025
0.030
0.035
0.040
Mas
s fl
ow r
ate
(kg/
s)
Time (s)
120s 180s 240s
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
3. Results and discussion
The state of charge (SOC) curve is shown in left, which is described below:
Where ρend is the final average density after the filling process in the cylinder. ρ0 is the density of 288 K at the target pressure.The final SOC are 89.7% for 120s, 90.8% for 180s and 91.2% for 240s, which decreases with filling time. The decreasing trend affirms the potential risks of cylinder underfilling.
3.2 Effects of different filling time:
0 30 60 90 120 150 180 210 2400.0
0.2
0.4
0.6
0.8
1.0
SOC
Time (s)
120s 180s 240s
0
endSOC
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
3. Results and discussion
The maximum gas temperature curve shown in the left has similar results with the experiment results found in Hirotani et al. (2006), which shows small difference of final maximum gas temperature among all cases. The difference means that the efficiency of cylinder heat dissipation is related to pressure-rise pattern.
3.3 Effects of different pressure-rise patterns:
0 30 60 90 120 150 1800
10
20
30
40
50
60
70
Tem
pera
ture
ris
e (K
)
Time (s)
p1 p2 p3 p4
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
4. Conclussions
A 2-dimionsional axisymmetric CFD model for predicting fast filling process of 70
MPa HFCV cylinder has been presented. And by changing the pressure-rise pattern
and the filling time, the thermodynamic response of 70 MPa fast filling process has
been explored. Some conclusions are described as follows:
Remarkable temperature gradient can be found in the jet path and interlaminar
area between the aluminum alloy liner and CFRP layer.
For linear pressure-rise pattern with different filling time, the final maximum gas
temperature increases with the decreasing of the filling time.
For different pressure-rise patterns with the same filling time, difference of the final
maximum gas temperature among the cases is small.
4th International Conference on Hydrogen SafetySeptember 12-14, 2011 San Francisco, California, USA
Numerical study on fast filling of 70 MPa hydrogen vehicle cylinder
http://www.zhedahuaji.com Tel: +86-571-87953393 Fax:+86-571-87953393 Email: [email protected] Address: Institute of Process Equipment, Zhejiang University, 38#Zheda Road, Hangzhou, P.R. China, 310027.