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Unsteady low Reynolds number flow in a heated tube of slowly varying section

Published online by Cambridge University Press:  17 February 2009

A. R. Bestman
A. R. Bestman
Affiliation:
Mathematics Programme, The Federal University of Technology, Yelwa Campus, P.M.B. 0248, Bauchi, Nigeria.
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Abstract

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Fluid motion established by an oscillatory pressure gradient superimposed on a mean, in a tube of slowly varying section, is studied when the temperature of the tube wall varies with axial distance. Particular attention is focussed on the mean flow and steady streaming components of the oscillatory flow of higher approximation. For the velocity components, the axial component takes the pride of place, since this component is responsible for convection of nutrients to various parts of the body of a mammal in systematic circulation. A salient point in the paper concerns consequences of free convection currents at a constriction (stenosis).

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 2 , October 1988 , pp. 179 - 202
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Bestman, A. R., “Low Reynolds number flow in a heated tube of varying section”, J. Austral. Math. Soc. (Ser. B), 25 (1983) 244–260.CrossRefGoogle Scholar
[2]Bestman, A. R., “Oscillatory non-Newtonian flow in tubes of slowly varying section”, Acta Mechanica, 45 (1982) 17–30.CrossRefGoogle Scholar
[3]Hall, P., “Unsteady viscous flow in a pipe of slowly varying cross-section”, J. Fluid Mech., 67 (1974) 209–226.CrossRefGoogle Scholar
[4]Manton, M. J., “Low Reynolds number flow in slowly varying axisymmetric tubes”, J. Fluid Mech., 49 (1971) 451–459.CrossRefGoogle Scholar