Slip-boundary equations for multicomponent nonequilibrium airflow

Slip-boundary equations for multicomponent nonequilibrium airflow
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多组分非平衡气流的滑移边界方程

DOI:
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发表时间:
1985
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通讯作者:
J. Moss
J. Moss
中科院分区:
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文献类型:
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作者:
R. Gupta;C. D. Scott;J. Moss

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方程的表面滑移(或跳跃)的物种浓度,压力,速度和温度的值在低雷诺数,高海拔飞行制度的航天器。这些都是从封闭形式的解决方案的质量,动量和能量通量方程,通过使用Chapman-Enskog速度分布函数。该函数表示在Navier-Stokes近似下的玻尔兹曼方程的解。的分析,获得非平衡多组分气流,包括有限罕见的表面催化重组和从表面反射过程中的内部能量的变化。各种滑移量的表达式已以一种易于用于流场计算的形式求得。为多组分和二元混合物以及单组分气体提供了一组一致的方程。一个表达式也提供了有限速率物种浓度边界条件的多组分混合物在没有滑移。
Equations are presented for the surface-slip (or jump) values of species concentration, pressure, velocity, and temperature in the low Reynolds number, high-altitude flight regime of a space vehicle. These are obtained from closed-form solutions of the mass, momentum, and energy flux equations by using the Chapman-Enskog velocity distribution function. This function represents a solution of the Boltzmann equation in the Navier-Stokes approximation. The analysis, obtained for nonequilibrium multicomponent airflow, includes the finite-rare surface catalytic recombination and changes in the internal energy during reflection from the surface. Expressions for the various slip quantities have been obtained in a form which can readily be employed in flow-field computations. A consistent set of equations is provided for multicomponent and binary mixtures and single-species gas. An expression is also provided for the finite-rate species-concentration boundary condition for a multicomponent mixture in the absence of slip.