Abstract
Abstract
In this paper, we study the analytical solutions to the Euler equations for Chaplygin gas. First, we construct two exact solutions for the one-dimensional system by using a self-similar ansatz. Second, we present some analytical solutions for the N-dimensional radially symmetric system. Third, we extend the above results to the two-phase flow case. The concentration and cavitation phenomena are observed from the constructed solutions.
Funder
the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province
the Henan Natural Science Foundation
the Basic Research Projects of Key Scientific Research Projects Plan in Henan Higher Education Institutions
the Scientific Research Team Plan of Zhengzhou University of Aeronautics
the Vital Science Research Foundation of Henan Province Education Department