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The Fanno model for turbulent compressible flow

Published online by Cambridge University Press:  16 October 2001

H. OCKENDON ,
J. R. OCKENDON  and
S. A. E. G. FALLE
H. OCKENDON
Affiliation:
OCIAM, Mathematical Institute, Oxford University, 24–29 St Giles', Oxford OX1 3LB, UK
J. R. OCKENDON
Affiliation:
OCIAM, Mathematical Institute, Oxford University, 24–29 St Giles', Oxford OX1 3LB, UK
S. A. E. G. FALLE
Affiliation:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
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Abstract

The paper considers the derivation and properties of the Fanno model for nearly unidirectional turbulent flow of gas in a tube. The model is relevant to many industrial processes. Approximate solutions are derived and numerically validated for evolving flows of initially small amplitude, and these solutions reveal the prevalence of localized large-time behaviour, which is in contrast to inviscid acoustic theory. The properties of large-amplitude travelling waves are summarized, which are also surprising when compared to those of inviscid theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 445 , 25 October 2001 , pp. 187 - 206
Copyright
© 2001 Cambridge University Press

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