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Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner

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Abstract

The two-dimensional (2D) pseudo-steady isothermal flow, which is isentropic and irrotational, around a convex corner is studied. The self-similar solutions for the supersonic flow around the convex corner are constructed, where the properties of the centered simple wave are used for the 2D isentropic irrotational pseudo-steady Euler equations. The geometric procedures of the center simple waves are given. It is proven that the supersonic flow turns the convex corner by an incomplete centered expansion wave or an incomplete centered compression wave, depending on the conditions of the downstream state.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Wancheng Sheng & Aidi Yao

  2. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, Anhui Province, 232001, China

    Aidi Yao

Authors
  1. Wancheng Sheng
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  2. Aidi Yao
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Correspondence to Wancheng Sheng.

Additional information

Citation: SHENG, W. C. and YAO, A. D. Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner. Applied Mathematics and Mechanics (English Edition) (2019) https://doi.org/10.1007/s10483-019-2475-6

Project supported by the National Natural Science Foundation of China (Nos. 11371240 and 11771274)

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Sheng, W., Yao, A. Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner. Appl. Math. Mech.-Engl. Ed. 40, 705–718 (2019). https://doi.org/10.1007/s10483-019-2475-6

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  • DOI: https://doi.org/10.1007/s10483-019-2475-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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