Abstract

A differential approximation for the equation of radiative transfer in a grey gas is applied to study the effect of thermal radiation in case of one dimensional unsteady shock generated by a piston with velocity v_p = htⁿ, in case of two-phase mixture of gas and dust particle. Numerical solutions in region between the shock and piston problem are presented for the case of general opacity and transparent limit. The influence of particle volume fraction for various cases are discussed and is concluded that though the general behaviour of velocity, density, pressure are unaffected, yet presence of particle volume fraction shows a rising tendency in velocity, density and pressure but a decreasing tendency in net radiative flux.

Keywords and Phrases

Shock Waves, piston problem, two-phase, radiation.

A.M.S. subject classification

Primary 76L.

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