Applied Mathematics and Mechanics

, Volume 36, Issue 8, pp 1105–1112

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

• B. Bira
• T. R. Sekhar
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

TV 314

## 2010 Mathematics Subject Classification

22E05 35L02 76T99 37D99

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