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Advances in Astronomy
Volume 2013 (2013), Article ID 582965, 6 pages
http://dx.doi.org/10.1155/2013/582965
Research Article

On the Effects of Viscosity on the Shock Waves for a Hydrodynamical Case—Part I: Basic Mechanism

Physics Department, Arts & Science Faculty, Canakkale Onsekiz Mart University, 17100 Canakkale, Turkey

Received 19 June 2013; Revised 31 October 2013; Accepted 31 October 2013

Academic Editor: Gregory Laughlin

Copyright © 2013 Huseyin Cavus. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The interaction of shock waves with viscosity is one of the central problems in the supersonic regime of compressible fluid flow. In this work, numerical solutions of unmagnetised fluid equations, with the viscous stress tensor, are investigated for a one-dimensional shock wave. In the algorithm developed the viscous stress terms are expressed in terms of the relevant Reynolds number. The algorithm concentrated on the compression rate, the entropy change, pressures, and Mach number ratios across the shock wave. The behaviour of solutions is obtained for the Reynolds and Mach numbers defining the medium and shock wave in the supersonic limits.