Heat transfer to power-law fluids in thermal entrance region with viscous dissipation for constant heat flux conditions

Sundaram, KM and Nath, G (1976) Heat transfer to power-law fluids in thermal entrance region with viscous dissipation for constant heat flux conditions. In: Proceedings Mathematical Sciences, 83 (2). pp. 50-64.

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Abstract

An analytical solution of the heat transfer problem with viscous dissipation for non-Newtonian fluids with power-law model in the thermal entrance region of a circular pipe and two parallel plates under constant heat flux conditions is obtained using eigenvalue approach by suitably replacing one of the boundary conditions by total energy balance equation. Analytical expressions for the wall and the bulk temperatures and the local Nusselt number are presented. The results are in close agreement with those obtained by implicit finite-difference scheme. It is found that the role of viscous dissipation on heat transfer is completely different for heating and cooling conditions at the wall. The results for the case of cooling at the wall are of interest in the design of the oil pipe line.

Item Type:	Journal Article
Publication:	Proceedings Mathematical Sciences
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Feb 2010 05:44
Last Modified:	19 Sep 2010 05:50
URI:	http://eprints.iisc.ac.in/id/eprint/24507

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