1996
DOI: 10.1007/bf00042788
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Imploding shocks in a non-ideal medium

Abstract: Self-similar solutions of the second kind for the unsteady one-dimensional flow behind converging spherical and cylindrical strong shocks in a non-ideal medium are studied. The equation of state of the medium is assumed to be in the form of the Mie-Gruneisen type. A simple numerical technique is developed to find the similarity exponent. Detailed studies are carded out for a different non-ideal medium such as a dusty gas, condensed matter and c,s medium. The solutions for an ideal gas are recovered as a partic… Show more

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Cited by 5 publications
(2 citation statements)
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“…where B = (U, Λ, P, E) tr , A is a 4 × 4 matrix and C is a 4 × 1 matrix. The matrices A and C can be read off by inspecting system (26). Observing system (51), we notice that there exists an unknown parameter δ, the value of which can not be calculated using energy balance or dimensional considerations.…”
Section: Imploding Shocksmentioning
confidence: 99%
See 1 more Smart Citation
“…where B = (U, Λ, P, E) tr , A is a 4 × 4 matrix and C is a 4 × 1 matrix. The matrices A and C can be read off by inspecting system (26). Observing system (51), we notice that there exists an unknown parameter δ, the value of which can not be calculated using energy balance or dimensional considerations.…”
Section: Imploding Shocksmentioning
confidence: 99%
“…Chisnell [25] has first proposed a technique for the evaluation of exponent in similarity variable. Applying the simple analytic method, a similarity exponent is determined in a non-ideal plasma by Patel and Rao [26]. In the present study, self-similar solutions of a second kind for cylindrical symmetric flow in non-ideal magnetogasdynamics is determined.…”
mentioning
confidence: 94%