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Effects of small-amplitude fluctuations on the structure of a shock wave

Published online by Cambridge University Press:  29 December 2003

P. L. RENDÓN  and
D. G. CRIGHTON
P. L. RENDÓN
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 OWA, UK
D. G. CRIGHTON
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 OWA, UK
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Abstract

A thermoviscous steady shock is studied through its interaction with small-amplitude perturbations introduced far behind the shock region and convected uniformly towards it. It is assumed that a significant broadening of the shock region may be brought about by the amplification of the fluctuations as they pass through it. The scale of such broadening effects, however, is found to depend on the amplitude and frequency of the induced fluctuations. Indeed, well-defined ranges of these parameters determine the scale of the non-uniform part of the mean flow, and thus, of any effects observed inside the shock region. For specific values of these parameters, we observe not only a broadening, but also a deformation of the shock region. These results are confirmed numerically using a pseudospectral scheme.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 497 , 25 December 2003 , pp. 1 - 22
Copyright
© 2003 Cambridge University Press

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