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Effects of internal heat transfer on the structure of self-similar blast waves

Published online by Cambridge University Press:  20 April 2006

A. F. Ghoniem ,
M. M. Kamel ,
S. A. Berger  and
A. K. Oppenheim
A. F. Ghoniem
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley, California 94720
M. M. Kamel
Affiliation:
Department of Mechanical Engineering, Cairo University, Cairo, Egypt
S. A. Berger
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley, California 94720
A. K. Oppenheim
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley, California 94720
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Abstract

Profiles of gasdynamic parameters in self-similar blast waves, taking into account the influence of conduction and radiation fluxes due to high temperatures attained at the centre, are determined. In the blast-wave equations these fluxes are expressed in terms of the Fourier law for heat conduction and a differential expression for radiative transport in a semi-grey gas model. Various boundary conditions are considered in order to account for different ways in which blast waves are initiated and driven. Similarity requirements are implemented in the solution by compatible functional forms of gas conductivity and absorptivity, as well as the opacity of the shock front. This formulation yields a two-point boundary-value problem, which is then transformed into an initial-value problem in order to facilitate the integration. As a particular example, a detailed solution for the constant-energy case is obtained, covering the whole range of relative heat-transfer effects expressed in terms of radiative to gasdynamic energy fluxes, from the adiabatic flow field, on one extreme, to the isothermal, on the other.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 117 , April 1982 , pp. 473 - 491
Copyright
© 1982 Cambridge University Press

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