EFFECTS OF VISCOUS DISSIPATION ON THERMALLY DEVELOPING FORCED CONVECTION IN A POROUS SATURATED CIRCULAR TUBE WITH AN ISOFLUX WALL

doi:10.1007/s10483-006-0507-z

Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (5): 617-626 .doi: https://doi.org/10.1007/s10483-006-0507-z

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EFFECTS OF VISCOUS DISSIPATION ON THERMALLY DEVELOPING FORCED CONVECTION IN A POROUS SATURATED CIRCULAR TUBE WITH AN ISOFLUX WALL

Kamel Hooman, Alireza Pourshaghaghy, Arash Ejlali

1. Mechanical Engineering Department, Bushehr Engineering Faculty, Persian Gulf University, Bushehr, Iran;
2. Mechanical Engineering Department, Faculty of Engineering, University of Tehran, Tehran, Iran;
3. Legal and Contracts, Petropars Co., Tehran, Iran

Received:2005-02-22 Revised:2005-08-18 Online:2006-05-18 Published:2006-05-18
Contact: Kamel Hooman

Abstract

Abstract: The viscous dissipation effect on forced convection in a porous saturated circular tube with an isoflux wall is investigated on the basis of the Brinkman flow model. For the thermally developing region, a numerical study is
reported while a perturbation analysis is presented to find expressions for the temperature profile and the Nusselt number for the fully developed region. The fully developed Nusselt number found by numerical solution for the developing region is compared with that of asymptotic analysis and a good degree of agreement is observed.

Key words: viscous dissipation, Brinkman model, Darcy number, Nusselt number, forced convection

2010 MSC Number:

O357.3
76E06

Kamel Hooman;Alireza Pourshaghaghy;Arash Ejlali. EFFECTS OF VISCOUS DISSIPATION ON THERMALLY DEVELOPING FORCED CONVECTION IN A POROUS SATURATED CIRCULAR TUBE WITH AN ISOFLUX WALL. Applied Mathematics and Mechanics (English Edition), 2006, 27(5): 617-626 .

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EFFECTS OF VISCOUS DISSIPATION ON THERMALLY DEVELOPING FORCED CONVECTION IN A POROUS SATURATED CIRCULAR TUBE WITH AN ISOFLUX WALL

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