The Asymptotic Solution of the Unsteady Planar Parallel Gas Flow for the Case that the Adiabatic Index Number Y is Big

Yuan Yi-wu

Volume 13 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(7): 625-631

Yuan Yi-wu. The Asymptotic Solution of the Unsteady Planar Parallel Gas Flow for the Case that the Adiabatic Index Number Y is Big[J]. Applied Mathematics and Mechanics, 1992, 13(7): 625-631.

Citation:

Yuan Yi-wu. The Asymptotic Solution of the Unsteady Planar Parallel Gas Flow for the Case that the Adiabatic Index Number Y is Big[J]. Applied Mathematics and Mechanics, 1992, 13(7): 625-631.

Citation:

Yuan Yi-wu. The Asymptotic Solution of the Unsteady Planar Parallel Gas Flow for the Case that the Adiabatic Index Number Y is Big[J]. Applied Mathematics and Mechanics, 1992, 13(7): 625-631.

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The Asymptotic Solution of the Unsteady Planar Parallel Gas Flow for the Case that the Adiabatic Index Number Y is Big

Yuan Yi-wu

Central-South University of Technology, Changsha

Received Date: 1991-07-01
Publish Date: 1992-07-15

Abstract

Abstract

In ref [1], 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
- adiabalie index number,
- gas. unsteady planar parallel flow,

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References(2)

References

[1]	Дворников В.А.,Изв.АН.СССР,Механцка Жцбкосмц ц Газа,(6)(1979),156-157.
[2]	袁锰吾,平行平阪问径向气汽的Navier-Siokes方程新的近似解,上海力学,(2) (1985),1-9.

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