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Suppression of shock-induced separation in fluids having large bulk viscosities

Published online by Cambridge University Press:  09 September 2014

F. Bahmani  and
M. S. Cramer
F. Bahmani
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
M. S. Cramer*
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
*
†Email address for correspondence: macramer@vt.edu
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Abstract

We examine the effect of large bulk viscosity on the classical problem of two-dimensional shock–boundary-layer interaction. The flow is taken to be steady and supersonic over a flat adiabatic plate. The boundary layer is taken to be laminar and the fluid is modelled as a perfect gas with a bulk viscosity that is large compared with its shear viscosity. The flow details are computed using a fifth-order weighted essentially non-oscillatory finite difference scheme and a third-order Runge–Kutta scheme for the spatial and temporal discretizations. The primary result of interest is the suppression of separation when the ratio of bulk to shear viscosity is sufficiently large.

JFM classification

Compressible Flows: Compressible boundary layers Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 756 , 10 October 2014 , R2
Copyright
© 2014 Cambridge University Press 

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