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

被引：4

作者：

Pang, Yicheng ^{[1
]}

Hu, Min ^{[1
]}

Ge, Jianjun ^{[1
]}

机构：

[1] Guizhou Univ Finance & Econ, Dept Appl Math, Guiyang 550025, Peoples R China

来源：

MECCANICA | 2021年 / 56卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Non-ideal dusty gas flow; Riemann problem; Compressible fluid; SELF-SIMILAR SOLUTION; RIEMANN PROBLEM; SHOCK PROPAGATION; EULER EQUATIONS; WAVE; MIXTURE;

D O I：

10.1007/s11012-021-01374-8

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：2243 / 2255

页数：13

共 25 条

[1] RIEMANN PROBLEM IN NON-IDEAL GAS DYNAMICS [J].

Ambika, K. ;

Radha, R. .

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (03) :501-521

[2]

Anisimov S.I., 1972, J APPL MATH MECH, V36, P883, DOI DOI 10.1016/0021-8928(72)90144-X

[3] Self-similar solutions and converging shocks in a non-ideal gas with dust particles [J].

Chadha, Meera ;

Jena, J. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2014, 65 :164-172

[4]

Chang T., 1989, Pitman Monographs, P41

[5] Riemann problem and elementary wave interactions in dusty gas [J].

Chaudhary, J. P. ;

Singh, L. P. .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 342 :147-165

[6] Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids [J].

Chen, GQ ;

Liu, HL .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 189 (1-2) :141-165

[7] RIEMANN PROBLEM FOR ONE-DIMENSIONAL SYSTEM OF CONSERVATION LAWS OF MASS, MOMENTUM AND ENERGY IN ZERO-PRESSURE GAS DYNAMICS [J].

Cheng, Hongjun .

DIFFERENTIAL EQUATIONS & APPLICATIONS, 2012, 4 (04) :653-664

[8]

Courant R., 1948, Supersonic Flow and Shock Waves

[9] Solution of Riemann problem for dusty gas flow [J].

Gupta, R. K. ;

Nath, Triloki ;

Singh, L. P. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2016, 82 :83-92

[10] Self-similar shocks in a dusty gas [J].

Jena, J ;

Sharma, VD .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (02) :313-327

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