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Basic differential equation of self-similar motion of one-dimensional nonsteady flow of ideal gas

Bian Bao-Min He An-Zhi Li Zhen-Hua Yang Ling Zhang Ping Shen Zhong-Hua Ni Xiao-Wu

Basic differential equation of self-similar motion of one-dimensional nonsteady flow of ideal gas

Bian Bao-Min, He An-Zhi, Li Zhen-Hua, Yang Ling, Zhang Ping, Shen Zhong-Hua, Ni Xiao-Wu
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Publishing process
  • Received Date:  09 March 2005
  • Accepted Date:  22 June 2005
  • Published Online:  05 June 2005

Basic differential equation of self-similar motion of one-dimensional nonsteady flow of ideal gas

  • 1. 南京理工大学信息物理与工程系,南京 210094

Abstract: Self-similar function of one-dimensional nonsteady flow is extended to a general form. With total energy kept constant, basic differential equation of self-similar motion of one-dimensional nonsteady flow of ideal gas is derived using dimension theory in combination with the basic motion equations of hydromechanics. When a non-dimensional natural parameter L, which is the ratio of velocity of fluid (u) and self-similar surface (r·), serves as the independent variable, the theoretical model reveals that self-similar law of non-dimensional nonsteady flow of ideal gas has the simplest mathematical form. The model overcomes the difficulty of divergence at the origin of self-similar function of Taylor and thus has significant importance.

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