COMPUTATION OF INSTANTANEOUS POLYTROPIC EXPONENT OF DISCHARGE PROCESS OF A TANK WITH PRESSURISED GAS
Keywords:
polytropic exponent, discharge process, time-variation, natural convection heat transfer, gasAbstract
A new method of computing the instantaneous polytropic exponent of the discharge process of a tank with compressed air is proposed. The state equation of ideal gas and the time-variation polytropic process equation are used to derive the differential equation of the pressure. The Nusselt criterion based on the natural convection heat transfer is used for the determination of the coefficient of heat transfer. The instant polytropic exponent can be obtained by substituting the coefficient into pressure differential equations. Calculation examples are given and the results are graphically illustrated. Experimental results show a good agreement with the simulation data.
Downloads
References
Jin, Y. Z., Zhu, Z. C., Yang, Q. J. and Wang Z. W.
Simplification and determination of thermodynamic
process in the filling and exhausting process
in a pneumatic system, Chinese J Mec. Eng.
(6) pp. 76-80.
Jin, Y. Z., Li, J., Bao, G. and Wang, Z. W. 1998. The
effect and determination of the overall coefficient of
heat transfer in pneumatic charging and discharging
system, J. Harbin J Ins. Tech. 30(1) pp. 15-19.
Kagawa, T. 1981. The effect of heat transfer on the
dynamics of pneumatic RC circuits, Hydraulics&
Pneumatics. 12(3) pp. 65-68.
Kagawa, T. 1985. Heat transfer effects on frequency
response of pneumatic nozzle flapper. Trans. ASME,
Journal of dynamic systems, measurement, and control.
(4) pp. 332-336.
Kagawa, T. and Shimizu, M., 1988. Nodimensional
pressure responses of pneumatic RC circuits considering
heat transfer, Hydraulics&Pneumatics.
(4) pp. 54-59.
Kawashima, K., Kagawa, T. andFujita, T. 2000.
Instantaneous flow rate measurement of ideal gases,
Trans. ASME, Journal of dynamic systems, measurement,
and control. 122(2) pp. 174-178.
Kawashima, K., Ishii, Y., Funaki, T. and Kagawa, T.
Determination of flow rate characteristics of
pneumatic solenoid valves using an isothermal
chamber, Trans. ASME, Journal. Fluids Engineering.
(2), pp. 273-279.
Li, J. F. 1991. Dynamics of pneumatic transmission
system, HuaNan institute of technology publish society,
WuHan.
Ma, Q. F. 1981. Heat Transfer, People education publish
society, Beijing.
Shin, Y. G. 2001. Estimation of instantaneous exhaust
gas flow rate based on the assumption of a polytropic
process, Proc. Instn Mech Engres, 25 Part D
pp. 637-643.
White, F. M. 2004. Fluid Mechanics, QingHua University
publishing Company, Beijing.
Yang, S. M. 1998. Heat Transfer, High level education
publish society, Beijing.