Time Development of Axisymmetric Shock : Quasi-Stationary Velocity Approximation
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Propagation formulae for axisymmetric shock wave in a continuous, inhomogeneous medium are newly derived through hydrodynamic considerations on state of the flow immediately behind the shock, with the use of orthogonality conditions between shock-rays and their fronts as well as the shock relations. Quasi-stationary velocity of isentropic flow in a steady gravitation is approximately assumed. The method is applied to an explosion of a highly rotating oblate star. From the computational results, we see that the validity of our approximation of quasi-stationary velocity is restricted to the case in which incidence-angle of ray on an equi-density surface is comparatively small, less than the so-called critical angle. Within the validity, it is shown that shocks going to higher latitudes grow up more rapidly than to lower latitudes. Further, it is proposed that unsteady flow behind the steeply inclined strong shock will produce strong vorticity and the shock may become absolutely unstable.
- 一般社団法人日本物理学会の論文
- 1972-01-25
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