Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis

doi:10.1007/s10483-015-1968-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (8): 1105-1112.doi: https://doi.org/10.1007/s10483-015-1968-7

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Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis

B. BIRA¹, T. R. SEKHAR²

1. Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur 8, India;
2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 2, India

收稿日期:2014-11-11 修回日期:2015-01-28 出版日期:2015-08-01 发布日期:2015-08-01
通讯作者: T. R. SEKHAR E-mail:trajasekhar@maths.iitkgp.ernet.in
基金资助:
Project supported by the Ministry of Minority Affairs through UGC, Government of India (No. F1-17.1/2010/MANF-CHR-ORI-1839) and the Industrial Consultancy, IIT Kharagpur (No. IIT/SRIC/ISIRD/2013-14)

Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis

B. BIRA¹, T. R. SEKHAR²

1. Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur 8, India;
2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 2, India

Received:2014-11-11 Revised:2015-01-28 Online:2015-08-01 Published:2015-08-01
Contact: T. R. SEKHAR E-mail:trajasekhar@maths.iitkgp.ernet.in
Supported by:
Project supported by the Ministry of Minority Affairs through UGC, Government of India (No. F1-17.1/2010/MANF-CHR-ORI-1839) and the Industrial Consultancy, IIT Kharagpur (No. IIT/SRIC/ISIRD/2013-14)

摘要/Abstract

摘要： In the present paper, Lie group symmetry method is used to obtain some exact solutions for a hyperbolic system of partial differential equations (PDEs), which governs an isothermal no-slip drift-flux model for multiphase flow problem. Those symmetries are used for the governing system of equations to obtain infinitesimal transformations, which consequently reduces the governing system of PDEs to a system of ODEs. Further, the solutions of the system of ODEs which in turn produces some exact solutions for the PDEs are presented. Finally, the evolutionary behavior of weak discontinuity is discussed.

关键词: weak discontinuity, drift-flux models, multiphase flow, exact solution, Lie group analysis

Abstract: In the present paper, Lie group symmetry method is used to obtain some exact solutions for a hyperbolic system of partial differential equations (PDEs), which governs an isothermal no-slip drift-flux model for multiphase flow problem. Those symmetries are used for the governing system of equations to obtain infinitesimal transformations, which consequently reduces the governing system of PDEs to a system of ODEs. Further, the solutions of the system of ODEs which in turn produces some exact solutions for the PDEs are presented. Finally, the evolutionary behavior of weak discontinuity is discussed.

Key words: multiphase flow, weak discontinuity, exact solution, drift-flux models, Lie group analysis

中图分类号:

TV314

B. BIRA, T. R. SEKHAR. Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1105-1112.

参考文献

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Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis

Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis

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