PROPAGATION OF SHOCK WAVES IN A WEAKLY CONDUCTING NONIDEAL GAS IN THE PRESENCE OF AZIMUTHAL AND AXIAL MAGNETIC INDUCTIONS

A similarity solution of the problem on a cylindrical shock wave in a weakly conducting nonideal gas, acted upon by axial and azimuthal magnetic inductions, has been obtained in the power-law shock path approximation with the use of the Lie group invariance method. Since an inadequate magnetic freezing is produced by a weakly conducting medium, to obtain a similarity solution of the problem, it was assumed that the density of the ambient medium is constant and the azimuthal and axial magnetic inductions in this medium are varying. The forms of the expressions for the indicated inductions were determined. The Lie group invariance approach was applied to a system of partial differential equations, with the result that a system of ordinary differential equations has been obtained, and it was solved numerically. The influence of the parameters of a nonideal gas and the ratio between the specific heats on the strength of a shock wave in the gas and on the flow was investigated. It is shown that the strength of a shock wave increases with increase in the nonidealness parameter but the ratio between the specific heats has a decaying effect on the shock wave
A similarity solution of the problem on a cylindrical shock wave in a weakly conducting nonideal gas, acted upon by axial and azimuthal magnetic inductions, has been obtained in the power-law shock path approximation with the use of the Lie group invariance method. Since an inadequate magnetic freezing is produced by a weakly conducting medium, to obtain a similarity solution of the problem, it was assumed that the density of the ambient medium is constant and the azimuthal and axial magnetic inductions in this medium are varying. The forms of the expressions for the indicated inductions were determined. The Lie group invariance approach was applied to a system of partial differential equations, with the result that a system of ordinary differential equations has been obtained, and it was solved numerically. The influence of the parameters of a nonideal gas and the ratio between the specific heats on the strength of a shock wave in the gas and on the flow was investigated. It is shown that the strength of a shock wave increases with increase in the nonidealness parameter but the ratio between the specific heats has a decaying effect on the shock wave Автор:  G. Nath and V. S. Kadam
Ключевые слова:  weakly conducting medium, nonideal gas, Lie group invariance method, axial and azimuthal magnetic inductions, cylindrical shock wave
Стр:  1094