2018/01/23 by Ruchi Bajargaan, Arvind H. Patel, Bajargaan, Ruchi +3
Engineering · Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
paper · pdf · doi:10.48550/arxiv.1801.07697
openalex publication_date 2018/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Similarity solutions are obtained for one dimensional, unsteady, adiabatic\npropagation of an exponential shock wave in a perfect gas with heat conduction\nand radiation heat flux, in the presence of azimuthal magnetic field. The shock\nwave is driven out by a piston moving with time according to an exponential\nlaw. The equilibrium flow conditions are maintained. The heat conduction is\nexpressed in terms of Fourier's law and the radiation is considered to be of\nthe diffusion type for an optically thick grey gas model. The thermal\nconductivity and the absorption coefficient are assumed to vary with\ntemperature and density according to power law. The density and magnetic field\nahead of the shock front, are assumed to vary as an exponential law. The\neffects of the variation of the strength of ambient magnetic field, heat\ntransfer parameters, adiabatic exponent, ambient density variation index on the\nshock strength, the distance between the piston and the shock front, and on the\nflow variables are studied out in detail. The similarity solution exists only\nwhen the sum of shock radius and ambient magnetic field exponent is equal to\nthe half of the ambient density exponent. It is manifested that the shock\nstrength decreases by increasing the strength of ambient magnetic field but it\nis independent from the heat transfer parameters. The total energy of the flow\nfield behind the shock front is not constant but varies as power of shock\nradius. The compressibility of the medium is increased in the non-magnetic\nfield. Also, the presence of the magnetic field have significant effects on the\nshock wave.\n