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A numerical study of a converging cylindrical shock problem in relaxing gas flow

Authors
Journal
Mathematical and Computer Modelling
0895-7177
Publisher
Elsevier
Publication Date
Volume
22
Issue
9
Identifiers
DOI: 10.1016/0895-7177(95)00166-y
Keywords
  • Converging Cylindrical Shock Wave
  • Shock Tube
  • Vibrationally Relaxing Gas
  • Modified Rusanov'S Scheme
Disciplines
  • Mathematics

Abstract

Abstract By modifying Rusanov's difference scheme as developed for a quasilinear hyperbolic system of partial differential equations in quasi-conservative form, a converging cylindrical shock problem in vibrationally relaxing gas has been studied in this paper. By comparing our results with available results in literature for inert gases, the effect of vibrational relaxation on such shock waves has been obtained. It has been shown that cylindrical shock waves in a vibrationally relaxing gas decreases in strength as it is propagating towards the axis. It has been observed that the effect of vibrational relaxation is to increase the growth rate of shock strength when it is propagating towards the axis. Further, it has been shown that the vibrationally relaxing character of the gas is to accelerate the shock convergence with the axis and thus decrease the convergence time.

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