An Exact Similarity Solution for Spherical Shocks in a Relaxing Gas

作者：Siddiqui Mohd Junaid^*; Arora Rajan

来源：National Academy Science Letters-India, 2015, 38(5): 433-435.

DOI：10.1007/s40009-015-0375-3

• Spherical symmetric flows
• Similarity method
• Relaxing gas
• Gas dynamics equation
• Exact solution

In this paper, we have found an exact similarity solution of the point explosion problem concerning spherical symmetric flows in a relaxing gas. In contrast to situations without relaxation, the inclusion of relaxation effects implies constraint conditions. We assume the solution of the problem in a similarity form which transform the given PDEs with jump conditions to a set of ODEs with boundary conditions. Then, following McVittie technique, a general solution of particle velocity, density and pressure have been written into a similarity form. This similarity form of velocity, density and pressure together with set of ODEs with boundary conditions produces the complete solution. These solutions are quite general and the method is quite different with the conventional ones.

• 出版日期2015-10