Growth and decay of weak shock waves in magnetogasdynamics

被引：8

作者：

Singh, L. P. ^{[1
]}

Singh, D. B. ^{[1
]}

Ram, S. D. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

来源：

SHOCK WAVES | 2016年 / 26卷 / 06期

关键词：

Weak shock wave; Magnetogasdynamic flow; Generalized wave front expansion; PROPAGATION; MECHANISM;

D O I：

10.1007/s00193-015-0607-y

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The purpose of the present study is to investigate the problem of the propagation of weak shock waves in an inviscid, electrically conducting fluid under the influence of a magnetic field. The analysis assumes the following two cases: (1) a planar flow with a uniform transverse magnetic field and (2) cylindrically symmetric flow with a uniform axial or varying azimuthal magnetic field. A system of two coupled nonlinear transport equations, governing the strength of a shock wave and the first-order discontinuity induced behind it, are derived that admit a solution that agrees with the classical decay laws for a weak shock. An analytic expression for the determination of the shock formation distance is obtained. How the magnetic field strength, whether axial or azimuthal, influences the shock formation is also assessed.

引用

页码：709 / 716

页数：8

共 20 条

[1] PROPAGATION OF WEAK SHOCK-WAVES [J].