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

被引：11
|
作者：
Bira, B. [1 ]
Sekhar, T. R. [2 ]
机构：
[1] Natl Inst Sci & Technol, Dept Math, Berhampur 8, Orissa, India
[2] Indian Inst Technol, Dept Math, Kharagpur 2, W Bengal, India
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2015年 / 36卷 / 08期
关键词：
multiphase flow; drift-flux models; Lie group analysis; exact solution; weak discontinuity; ISENTROPIC MAGNETOGASDYNAMICS; SIMILARITY SOLUTIONS; WEAK DISCONTINUITY; EULER EQUATIONS; GAS;
D O I：
10.1007/s10483-015-1968-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：1105 / 1112
页数：8
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