Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (7): 649-655.

• 论文 • 上一篇    下一篇

THE ASYMPTOTIC SOLUTION OF THE UNSTEADY PLANAR PARALLEL GAS FLOW FOR THE CASE THAT THE ADIABATIC INDEX NUMBER γ IS BIG

袁镒吾   

  1. Cenral-South University of Technology, Changsha
  • 收稿日期:1991-07-01 出版日期:1992-07-18 发布日期:1992-07-18

THE ASYMPTOTIC SOLUTION OF THE UNSTEADY PLANAR PARALLEL GAS FLOW FOR THE CASE THAT THE ADIABATIC INDEX NUMBER γ IS BIG

Yuan Yi-wu   

  1. Cenral-South University of Technology, Changsha
  • Received:1991-07-01 Online:1992-07-18 Published:1992-07-18

摘要: In ref I, under the condition that the components of velocity are only the functions of time and polar angle θ, Drornikov solved eqss. (1.1) (1.3) of the ideal gas unsteady planar parallel potential flow. It was pointed out in ref. [1] that in general cases, the evident solutions could not he obtained. Only for two especial cases, the evident solutions were obtained.In this paper, the author studies the same prohlein as that in ref. [1]. In the first section we obtain the evident solution of equations (1.1)-(1.3) under the condition that the sonic velocity is restricted by some complemental conditions. In the second section, we obtain the first-order approximate solutions of the fundamental equation for the case that γ>>1

关键词: adiabalie index number, gas. unsteady planar parallel flow

Abstract: In ref I, under the condition that the components of velocity are only the functions of time and polar angle θ, Drornikov solved eqss. (1.1) (1.3) of the ideal gas unsteady planar parallel potential flow. It was pointed out in ref. [1] that in general cases, the evident solutions could not he obtained. Only for two especial cases, the evident solutions were obtained.In this paper, the author studies the same prohlein as that in ref. [1]. In the first section we obtain the evident solution of equations (1.1)-(1.3) under the condition that the sonic velocity is restricted by some complemental conditions. In the second section, we obtain the first-order approximate solutions of the fundamental equation for the case that γ>>1

Key words: adiabalie index number, gas. unsteady planar parallel flow

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