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The analytical solutions to one-dimensional non-ideal dusty gas flow

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Abstract

This paper is concerned with the analytical solutions to the Riemann problem for one-dimensional non-ideal dusty gas flow. We obtain explicitly the elementary wave curves to one-dimensional non-ideal dusty gas flow, and analyze the properties of these wave curves. On the basis of these preparations, by rigorously analyzing the uniqueness and existence of the solution to a system of two nonlinear equations, the analytical solutions are obtained. Besides, the corresponding numerical solutions are also provided. It is shown that the analytical solutions are identical with the corresponding numerical solutions.

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Acknowledgements

The authors would like to thank the referees for their valuable suggestions which have significantly improved the manuscript.

Funding

This study was funded by the National Natural Science Foundation of China (11661015), the Science and Technology Foundation of Guizhou Province ([2019]1046), the Natural Science Project of the Education Department of Guizhou Province (KY[2021]031), the Project of High Level Creative Talents in Guizhou Province(601605005), and the Foundation of Guizhou Provincial Key Laboratory of Statistical Analysis of Big Data.

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  1. Department of Applied Mathematics, Guizhou University of Finance and Economics, Guiyang, 550025, China

    Yicheng Pang, Min Hu & Jianjun Ge

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  1. Yicheng Pang
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  2. Min Hu
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  3. Jianjun Ge
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Correspondence to Yicheng Pang.

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Pang, Y., Hu, M. & Ge, J. The analytical solutions to one-dimensional non-ideal dusty gas flow. Meccanica 56, 2243–2255 (2021). https://doi.org/10.1007/s11012-021-01374-8

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