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The Quarterly Journal of Mechanics and Applied Mathematics 1969 22(3):333-353; doi:10.1093/qjmam/22.3.333
© 1969 by Oxford University Press
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A CLASS OF ONE-DIMENSIONAL STEADY-STATE FLOWS AND THE GENERAL SHOCK-STRUCTURE PROBLEM IN RADIATION-GAS-DYNAMICS (RGD)

PHOOLAN PRASAD

( Department of Applied Mathematics, Indian Institute of Science Bangalore 12 )

This work is a sequel to two previous papers (7, 8). It considers a class of one-dimensional non-linear waves which reduces to steady flows in some inertial frame of reference. The problem has been reduced to the study of a single first-order ordinary differential equation in velocity and radiation pressure, and all typical integral ourves have been drawn in each of several cases. The shock structure solution of Zel'dovich (15) and Heaslet and Baldwin (2) comes out to be the only steady flow joining uniform states at x = + {infty} and x = – {infty}. Various other steady flows, and the variation of entropy along them, are discussed in detail.


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