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Applied Mathematics and Mechanics

, Volume 36, Issue 8, pp 1105–1112 | Cite as

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

  • B. Bira
  • T. R. SekharEmail author
Article

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.

Keywords

multiphase flow drift-flux models Lie group analysis exact solution weak scontinuity 

Chinese Library Classification

TV 314 

2010 Mathematics Subject Classification

22E05 35L02 76T99 37D99 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of MathematicsNational Institute of Science and TechnologyBerhampurIndia
  2. 2.Department of MathematicsIndian Institute of Technology Kharagpurnew delhiIndia

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