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Volume 14,     Number 4,     Winter 2006

 

CONVERGING AND DIVERGING SHOCK
WAVES OF ARBITRARY STRENGTH IN A
VAN DER WAALS GAS
RAJAN ARORA AND V. D. SHARMA

Abstract. The propagation of shock waves of arbitrary strength through a Van der Waals gas in a duct with spatially varying cross section is considered. An infinite system of transport equations, governing the shock strength and the induced discontinuities, is derived. The evolutionary and decay behavior of the converging and diverging shocks are described using the truncation approximation. The analytical results for the exponent are compared with those obtained by using the CCW approximation.

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© 2006, Canadian Applied Mathematics Quarterly (CAMQ)