Abstract We perform a complete symmetry classification for the hyperbolic system of partial differential equations, which describes a drift-flux two-phase flow in a one-dimensional pipe, with a mass-transfer term between the two different phases of the fluid. In addition, we consider the polytropic equation of states parameter and gravitational forces. For general values of the polytropic indices, we find that the fluid equations are invariant under the elements of a three-dimensional Lie algebra. However, additional Lie point symmetries follow for specific values of the polytropic indices. The one-dimensional systems are investigated in each case of the classification scheme, and the similarity transformations are calculated in order to reduce the fluid equations into a system of ordinary differential equations. Exact solutions are derived, while the reduced systems are studied numerically.

Andronikos Paliathanasis

International Journal of Nonlinear Sciences and Numerical Simulation

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 发表与非线性科学和数值模拟相关的所有主题的原创论文。该杂志面向非线性科学、工程师和计算科学家、经济学家和其他研究人员，他们要么研究非线性问题的性质，要么对非线性问题进行数值模拟。

The International Journal of Nonlinear Sciences and Numerical Simulation publishes original research papers related to all aspects of nonlinear sciences and numerical simulations. This journal is aimed at researchers in nonlinear science, engineering, computational science, economics, and other fields who study the nature of nonlinear problems or conduct numerical simulations of such problems.

《International Journal of Nonlinear Sciences and Numerical Simulation》发表与非线性科学和数值模拟相关的原创研究论文。该期刊面向非线性科学、工程、计算科学、经济学等领域的研究人员，特别是那些研究非线性问题特性或进行非线性问题数值模拟的学者。

Category	Quartile
工程技术	4
工程技术, 工程综合	4
工程技术, 应用数学	4
工程技术, 力学	4
工程技术, 物理数学物理	4

Lie symmetry analysis for two-phase flow with mass transfer

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Journal Info

Category	Quartile
PHYSICS, MATHEMATICAL	2