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Low Reynolds number flow in a heated tube of varying section

Published online by Cambridge University Press:  17 February 2009

A. R. Bestman
A. R. Bestman
Affiliation:
Mathematics Department, University of Science and Technology, P.M.B. 5080, Port Harcourt, Nigeria.
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Abstract

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In this paper we study the effect of forced and free convection heat transfer on flow in an axisymmctric tube whose radius varies slowly in the axial direction. Asymptotic series expansions in terms of a small parameter ∈, which is a measure of the radius variation, are obtained for the velocity components, pressure and temperature on the assumption that the Reynolds number (R) is of order one. The effect of the free convection parameter or Grashof number (G) on the axial velocity, temperature distribution, shear stress and heat flux at the wall are discussed quantitatively for a locally constricted tube.

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 2 , October 1983 , pp. 244 - 260
Copyright
Copyright © Australian Mathematical Society 1983

References

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