This thesis is an outcome of the research carried out By the author under the supervision of Dr. Baleswar Prasad, Reader, Department of Mathematics, D.A.V.P.G. College, Azamgarh.

The thesis has been divided into five chapters and each chapter is subdivided into a number of articles. Chapter one is introductory. It gives in brief a description of shock waves and magnetogasdynamics. It also gives a description of self-similar motion, radiation phenomenon, dimensional analysis and Reynold's number and Runge-Kutta method of numerical integration. Chapter II deals with the thermalization of a large energy flux in a medium of a density leads to heat waves consisting of compression and expansion wave fronts, associated with substantial bulk motion is considered in a magnetic field. Particle can enter or leave thermalization front at subsonic, sonic or supersonic speed, allowing for a wide variety of wave modes.

The wave mode depends on power input thermodynamic response of the medium and the boundary conditions. Using the macroscopic conservation equations. The thermodynamic properties of the wave fronts are discussed and compared to other thermodynamic processes.

In chapter III, a similarity solution is obtained and complete flow field has been investigated by assuming a spherically driven shock wave in an electrically conducting gas. It is assumed that radiation propagating radially is completely absorbed in the shock layer.

In chapter IV, self-similar flows of self gravitating gas behind the magnetogasdynamic spherical shock wave propagating in a non-uniform atmosphere at rest, taking radiation heat flux into consideration, are investigated. The total energy of the wave is non-constant and can Be made to vary slowly with time.

Chapter V deals with self similar flow of a gas in Generalised Roche model in magnetogasdynamic with radiative heat flux, has been investigated. The total energy of the wave between the shock front and inner expanding surface is taken to be time dependent.