适用变比热的广义气体动力学基本函数

Basic Functions of Generalized Gas Dynamics Applicable to Variable Specific Heat

关键词:  变比热  气体动力学  基本函数  理论动压  总参数  静参数

Key words:  Variable specific heat  Gas dynamics  Basic functions  Theoretical dynamic pressure  Total parameters  Static parameter

摘要:

为了计算高马赫数条件下气体动力学参数，引入无量纲的温度平均比热系数m和对数温度平均比热系数n，从气体动力学和热力学基本概念出发，推导建立了能够反映“变比热效应”的广义气体动力学函数和理论动压表达式。广义气体动力学函数在马赫数<3条件下的简化形式与传统气体动力学函数一致，在马赫数>3条件下能够有效修正“变比热效应”所导致的传统气体动力学函数计算偏差，通过无量纲系数m和n可以便捷得到总静参数的关系式。

Abstract:

In order to calculate the aerodynamic parameters at high Mach number， the dimensionless temperature average specific heat coefficient m and logarithmic temperature average specific heat coefficient n are introduced. In view of the basic concepts of gas dynamics and thermodynamics， the generalized gas dynamics function and theoretical dynamic pressure expression which can reflect the "variable specific heat effect" are deduced. The simplified form of generalized gas dynamic function is consistent with that of traditional gas dynamic function when Mach number is less than 3. The calculation deviation of traditional gas dynamic function caused by "variable specific heat effect" can be effectively corrected when Mach number is greater than 3. The total static parameter relationship can be easily obtained by dimensionless number m and n.