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Magnetogasdynamic shock waves in a non-uniform gas with heat conduction and radiation heat-flux

Vishwakarama J. P., Singh A. K.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 3

797-815

The propagation of a cylindrical or spherical shock wave in an ideal gas with heat conduction and radiation heat-flux, in the presence of a spacially decreasing azimuthal magnetic field, is investigated. The initial density of the gas is assumed to obey a power law. The heat conduction is expressed in terms of Fourier's law and the radiation is considered to be of the diffusion type for an optically thick grey gas model. The thermal conductivity K and the absorption coefficient are assumed to vary with temperature and density. The shock wave is assumed to be driven by a piston moving with a variable velocity. Similarity solutions are obtained and the effects of variation of the heat transfer parameters and the variation of piston velocity (or initial density) and Alfven-Mach number are investigated.

Self-similar solution of a shock propagation in a non-ideal gas

Vishwakarama J. P., Chaube V., Patel A.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

813-829

Similarity solutions for one-dimensional unsteady self-similar flow behind a strong shock driven out by a cylindricaI (or spherical) piston in a medium which is assumed to be a non-ideaI gas obeying a simplified van der Waals equation of state are obtained. Both the cases, when the flow between the shock and the piston is isothermal or adiabatic, are considered. It is observed that the assumption of zero temperature gradient brings a profound change in the density distribution as compared to that of the adiabatic flow; whereas the pressure and velocity distributions are little affected. Effects of the non-idealness of the gas on the flow-field between the shock and the piston are investigated. It is found that there is a decrease in the shock strength due to non-ideaIness of the gas. This decrease in the shock strength is interpreted as a result of a decrease in the compressibility of the gas.