M P Ranga Rao
Articles written in Proceedings – Section A
Volume 68 Issue 3 September 1968 pp 149-163
The theory of singular surfaces is combined with the ray theory to the study of anisotropic, non-linear wave-propagation in an arbitrarily moving gas. The governing equation for the strength of the wave along the rays is expressed in an integral form. Use of the analysis is made by working out two examples in detail.
Volume 72 Issue 1 July 1970 pp 30-35
The propagation of strong shocks in an atmosphere of variable density at rest is studied. The energy gain of the flow enveloped by the shock is assumed to be time-dependent. Analytical and numerical solutions of the similarity flows behind such shocks are obtained.
Volume 73 Issue 3 March 1971 pp 101-108
Similarity solutions describing the flow behind a plane hydromagnetic shock propagating with a constant velocity into a uniform ideal gas at rest in the presence of a transverse magnetic field are obtained. The gas is assumed to be infinitely electrically conducting, inviscid and non-heat conducting. The gain in the total energy of the flow between the shock and the inner expanding surface is assumed to be time-dependent. The variations of the percentages of the magnetic, internal and kinetic energies with the strength of the shock are studied. It is shown that there exists two values of the strength of the shock at which equipartition of the internal and kinetic energies of the flow between the shock and the inner expanding surface can occur.