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Numerical simulation of filling process of natural gas onboard vehicle cylinder

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Abstract

The accurate modeling of the filling compressed natural gas fueled vehicle storage cylinders is a complex process and should be studied deeply. The minimum filling time has positive impact on commercialization of natural gas vehicles. In other hand, very fast filling may be resulted to unexpected temperature rise and violating the safety standards. This study investigates flow and heat transfer in natural gas vehicle’s onboard cylinder during filling. The cylinder is assumed to be a type III onboard storage cylinder. An axisymmetric computational model for unsteady, compressible turbulent flow has been built. A computational fluid dynamics has been developed for predicting the temperature and pressure change during the fill based on using commercial software Fluent. The natural gas (NG) as working fluid is treated as a real gas. The Redlich–Kwong equation of state has been employed to compute the thermodynamic properties of NG. The computation results have been compared with previous measured values and show good agreement. The results show that the temperature rise for NG is about 35 K. The most of heat dissipation from the in-cylinder gas is stored in the cylinder wall during the fill and the heat lost to the ambient is small.

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Abbreviations

d :

Inlet tube diameter, 5 mm

c p :

Constant pressure specific heats, kJ/(kg K)

c v :

Constant volume specific heats, kJ/(kg K)

C 1ε :

Constant of the k-ε model, defined by Eq. (1)

C 2ε :

Constant of the k-ε model, defined by Eq. (1)

C μ :

Constant of the k-ε model, defined by Eq. (1)

C 1 :

Constant for ideal gas specific heat curve fit for methane, 1,982.87

C 2 :

Constant for ideal gas specific heat curve fit for methane, −2.0622

C 3 :

Constant for ideal gas specific heat curve fit for methane, 12.727e−3

C 4 :

Constant for ideal gas specific heat curve fit for methane, −11.782e−6

C 5 :

Constant for ideal gas specific heat curve fit for methane, 3.609e−9

c :

Speed of sound in methane, m/s

E :

Empirical constant, 9.793

g :

Gravitational acceleration, m/s2

h :

Convective heat transfer coefficient, W/(m2 K)

I :

Total enthalpy, J

i :

Specific enthalpy, kJ/kg

K :

Thermal conductivity, W/(m K)

\( \dot{m} \) :

Mass flow rate, kg/s

M :

Molecular weight, kg/kmol

Ma :

Mach number, dimensionless

P :

Pressure, bar or Pa

p c :

Methane critical pressure, bar or Pa

\( \dot{q} \) :

Heat transfer rate between in-cylinder gas and inner wall, kW/m2

S :

Entropy, kJ/K

R :

Universal gas constant, J/(mol K)

r :

Radius, m

T :

Temperature, K or °C

T c :

Methane critical temperature, K or °C

T r :

Reduced temperature, dimensionless

t :

Time, s

U :

Specific internal energy, kJ/kg

u :

Velocity, m/s

u + :

Dimensionless velocity in the law of the wall, dimensionless

v :

Specific volume, m3/kg

w :

Acentric factor, 0.011 for methane

y + :

Dimensionless wall coordinate in law of the wall, dimensionless

μ :

Viscosity, Pa s

ρ :

Density, kg/m3

δ :

Kronecker delta

σ k :

Constant of k-ε model, 1.0

σ ε :

Constant of k-ε model, 1.3

σ T,L :

Laminar or molecular Prandtl number

σ T,t :

Turbulent Prandtl number, 0.85 at the wall

τ ij :

Stress tensor, Pa

κ :

Von Karman constant, 0.4187

In:

Inlet condition

o:

Outer

i:

Inner

w:

Refer to cylinder wall properties

g:

Refer to in-cylinder gas

_ :

Average

~:

Favre average

O:

Related to ideal gas or reference state

′:

Turbulent fluctuating component

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Correspondence to Navid NoorAliPour Nahavandi.

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Technical Editor: Horacio Vielmo.

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NoorAliPour Nahavandi, N., Farzaneh-Gord, M. Numerical simulation of filling process of natural gas onboard vehicle cylinder. J Braz. Soc. Mech. Sci. Eng. 35, 247–256 (2013). https://doi.org/10.1007/s40430-013-0020-3

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