The formation of shock wave in a two-dimensional supersonic planar and axisymmetric non-ideal gas flow with magnetic field

被引:4
|
作者
Chaturvedi, Rahul Kumar [1 ]
Pradeep [1 ]
Singh, L. P. [1 ]
机构
[1] Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 08期
关键词
Hyperbolic system; Partial differential equation; Non linear wave; Non-ideal gas; Magnetic field; PROPAGATION; EVOLUTION; DISCONTINUITIES;
D O I
10.1007/s40314-021-01672-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents an analysis of the of the shock formation in 2-D steady supersonic flow of non-ideal gas with magnetic field for the planar flow and axisymmetric flows. It is shown that the governing equations describing the non-ideal gas flow with magnetic field is hyperbolic in nature. Further, using the theory of the propagation of wavefronts defined by weak shock, we derived the transport equations for shock wave which lead to determination of shock formation distance and provide the conditions of shock formation. The formation of shock wave is affected by the presence of magnetic field, non-ideal parameter and upstream flow Mach number M-0 > 1 is shown.
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页数:14
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