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Compensation of pressure enthalpy effects on temperature fields for throttling of high-pressure real gas

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Abstract

For the pressure enthalpy of high pressure pneumatics, the computational fluid dynamics (CFD) simulation based on ideal gas assumption fails to obtain the real temperature information. Therefore, we propose a method to compensate the pressure enthalpy of throttling for CFD simulation based on ideal gas assumption. Firstly, the pressure enthalpy is calculated for the pressure range of 0.101 to 30 MPa and the temperature range of 190 to 298 K based on Soave-Redlich-Kwong (S-R-K) equation. Then, a polynomial fitting equation is applied to practical application in the above mentioned range. The basic idea of the compensation method is to convert the pressure enthalpy difference between inlet air and nodes into the compensation temperature. In the above temperature and pressure range, the compensated temperature is close to the real one, and the relative temperature drop error is below 10%. This error is mainly caused by the velocity difference of the orifice between the real and ideal gas models. Finally, this compensation method performs an icing analysis for practical high pressure slide pilot valve.

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Abbreviations

A eff :

Equivalent cross-sectional area of orifice, m2

c p :

Isobaric specific heat

E :

Air energy, J

F :

External body force

g :

Gravitational body force

h :

Enthalpy of a unit mass of air, J/kg

h p :

Pressure enthalpy, J/kg

h t :

Temperature enthalpy, J/kg

J :

Diffusion flux

k eff :

Effective conductivity

p :

Absolute air pressure, Pa

q m :

Air mass flow rate, kg/s

R :

Gas constant, J/(g·K)

S h :

Heat of chemical reaction, and any other volumetric heat sources defined, kJ

S m :

Mass added to the continuous phase from the dispersed second phase, kg

t :

Time, s

T :

Temperature, K

u :

Velocity vector, m/s

Z :

Compressibility factor

λ :

Specific heat ratio

ρ :

Density of air, kg/m3

τ̿ :

Stress tensor

ν :

Specific volume

0:

Reference state

c:

Compensated temperature

H:

High pressure

id:

Ideal gas assumption

k :

Calculation times

L:

Low pressure

n :

Parameter of nodes

p:

Isobaric process

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Author information

Authors and Affiliations

  1. School of Engineering, Sun Yat-sen University, Guangzhou, 510006, China

    Yuxi Luo  (罗语溪) & Jiuxing Liang  (梁九兴)

  2. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, China

    Xuanyin Wang  (王宣银)

  3. College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou, 310018, China

    Zhipeng Xu  (徐志鹏)

Authors
  1. Yuxi Luo  (罗语溪)
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  2. Jiuxing Liang  (梁九兴)
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  3. Xuanyin Wang  (王宣银)
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  4. Zhipeng Xu  (徐志鹏)
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Corresponding author

Correspondence to Yuxi Luo  (罗语溪).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 51205421), and the Fund of the Key Laboratory of Sensing Technology and Biomedical Instruments of Guangdong Province (No. 2011A060901013)

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Luo, Y., Liang, J., Wang, X. et al. Compensation of pressure enthalpy effects on temperature fields for throttling of high-pressure real gas. J. Shanghai Jiaotong Univ. (Sci.) 22, 216–223 (2017). https://doi.org/10.1007/s12204-017-1824-6

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  • DOI: https://doi.org/10.1007/s12204-017-1824-6

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