Instability of Shock Waves in Inhomogeneous Gases

Details Instability of Shock Waves in Inhomogeneous Gases Instability of Shock Waves in Inhomogeneous Gases

Dec 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972pthph..48.1860y&link_type=abstract

Progress of Theoretical Physics, Vol. 48, No. 6, pp. 1860-1869

Physics

1

Scientific paper

The instability of an ideal-gas shock which propagates along the direction of density decrease, with respect to deformations of the shape of the shock front, is studied. A linearized ordinary differential equation which governs the disturbance is derived from an equation which gives the variation in shock strength through the density decrease of the gas and the divergence of the shock ray. Solutions of the equation are obtained in the case of plane shocks. The growth of deformation of a spherical shock-front propagating from the center of a star to the surface is discussed by using the solutions. It is shown that the shock can reach very near the surface before the shock front undergoes so remarkable deformation as to break up to small parts.

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