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High Reynolds number flows in exponential tubes of slow variation

Published online by Cambridge University Press:  19 April 2006

P. G. Daniels  and
P. M. Eagles
P. G. Daniels
Affiliation:
Department of Mathematics, The City University, St John Street, London EC1V 4PB
P. M. Eagles
Affiliation:
Department of Mathematics, The City University, St John Street, London EC1V 4PB
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Abstract

Axisymmetric high Reynolds number flows in tubes of slowly varying radius are shown to be governed to a first approximation and in suitable co-ordinates by a partial differential equation which, in a particular case, allows solutions independent of the streamwise co-ordinate. The solutions of the resulting ordinary differential equation give flows with inflexion points in the velocity profiles and reversed flow in some cases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 2 , 29 January 1979 , pp. 305 - 314
Copyright
© 1979 Cambridge University Press

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References

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