Abstract

In high-pressure dynamic thermodynamic processes, the pressure is much higher than the air critical pressure, and the temperature can deviate significantly from the Boyle temperature. In such situations, the thermo-physical properties and pneumatic performance can’t be described accurately by the ideal gas law. This paper proposes an approach to evaluate the pneumatic performance of a high-pressure air catapult launch system, in which esidual functions are used to compensate the thermal physical property uncertainties of caused by real gas effects. Compared with the Nelson-Obert generalized compressibility charts, the precision of the improved virial equation of state is better than Soave-Redlich-Kwong (S-R-K) and Peng-Robinson (P-R) equations for high pressure air. In this paper, the improved virial equation of state is further used to establish a compressibility factor database which is applied to evaluate real gas effects. The specific residual thermodynamic energy and specific residual enthalpy of the high-pressure air are also derived using the modified corresponding state equation and improved virial equation of state which are truncated to the third virial coefficient. The pneumatic equations are established on the basis of the derived residual functions. The comparison of the numerical results shows that the real gas effects are strong, and the pneumatic performance analysis indicates that the real dynamic thermodynamic process is obviously different from the ideal one.

Highlights

  • Compared to petroleum or electric systems, high pressure air has the advantages of no pollution, high power density, cheapness, reliable performance, recycling use, and being easy to maintain [1,2]

  • The specific residual thermodynamic energy and specific residual enthalpy will be derived to compensate for the real gas effect

  • The real analytical expressions of specific thermodynamic energy and specific enthalpy will be derived for high pressure air

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Summary

Introduction

Compared to petroleum or electric systems, high pressure air has the advantages of no pollution, high power density, cheapness, reliable performance, recycling use, and being easy to maintain [1,2]. 2. Derivation and Determination of Real Gas Equation of State for High Pressure Air. According to the corresponding state law, the compressibility factor which indicates the deviation of real gas from ideal gas can be obtained from the table of corresponding states [14]: Z. Under high pressure conditions over 0.5Pc, or low temperature conditions below 5Tc, a reliable and simple real gas equation of state should be derived to fit the data. The improved virial equation is adopted to calculate compressibility factor, and in this paper the thermodynamic variables will be derived based on the improved virial equation of state. It is found that the improved virial equation shows good agreement with the NIST data

Modeling Thermodynamic Variables
Residual Functions
Modeling of Pneumatic Catapult
Simulation Analysis of the Pneumatic Ejection
Comparative Analysis of Dynamic Thermodynamic Processes
Ejection Performance Evaluation Variables
Conclusions
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