Analysis of heat transfer and entropy generation for a thermally developing Brinkman–Brinkman forced convection problem in a rectangular duct with isoflux walls

Hooman, Kamel and Haji-Sheikh, A. (2007) Analysis of heat transfer and entropy generation for a thermally developing Brinkman–Brinkman forced convection problem in a rectangular duct with isoflux walls. International Journal of Heat and Mass Transfer, 50 21-22: 4180-4194. doi:10.1016/j.ijheatmasstransfer.2007.02.036

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Author Hooman, Kamel
Haji-Sheikh, A.
Title Analysis of heat transfer and entropy generation for a thermally developing Brinkman–Brinkman forced convection problem in a rectangular duct with isoflux walls
Journal name International Journal of Heat and Mass Transfer   Check publisher's open access policy
ISSN 0017-9310
Publication date 2007-10-01
Year available 2007
Sub-type Article (original research)
DOI 10.1016/j.ijheatmasstransfer.2007.02.036
Open Access Status File (Author Post-print)
Volume 50
Issue 21-22
Start page 4180
End page 4194
Total pages 15
Editor W. J. Minkowycz
J. P. Harnett
Place of publication Oxford, England
Publisher Pergamon Elsevier
Language eng
Subject 290000 Engineering and Technology
290501 Mechanical Engineering
Abstract Heat transfer and entropy generation analysis of the thermally developing forced convection in a porous-saturated duct of rectangular cross-section, with walls maintained at a constant and uniform heat flux, is investigated based on the Brinkman flow model. The classical Galerkin method is used to obtain the fully developed velocity distribution. To solve the thermal energy equation, with the effects of viscous dissipation being included, the Extended Weighted Residuals Method (EWRM) is applied. The local (three dimensional) temperature field is solved by utilizing the Green’s function solution based on the EWRM where symbolic algebra is being used for convenience in presentation. Following the computation of the temperature field, expressions are presented for the local Nusselt number and the bulk temperature as a function of the dimensionless longitudinal coordinate, the aspect ratio, the Darcy number, the viscosity ratio, and the Brinkman number. With the velocity and temperature field being determined, the Second Law (of Thermodynamics) aspect of the problem is also investigated. Approximate closed form solutions are also presented for two limiting cases of MDa values. It is observed that decreasing the aspect ratio and MDa values increases the entropy generation rate.
Keyword Thermodynamics
Engineering, Mechanical
Mechanics
porous media
viscous dissipation
extended weighted residuals method
thermal development
rectangular duct
Brinkman-Brinkman problem
entropy generation
Saturated Circular Tube
Greens-function Solution
Viscous Dissipation
Porous Passages
Fluid-flow
Transfer Augmentation
Entrance Region
Cross-section
Temperature
Channel
Q-Index Code C1
Institutional Status UQ
Additional Notes This is an author version of an article originally published as K. Hooman and A. Haji-Sheikh (2007) Analysis of heat transfer and entropy generation for a thermally developing Brinkman–Brinkman forced convection problem in a rectangular duct with isoflux walls, International Journal of Heat and Mass Transfer 50 (21-22): 4180-4194. doi: 10.1016/j.ijheatmasstransfer.2007.02.036 Copyright 2007 Elsevier. All rights reserved. Single copies only may be downloaded and printed for a user's personal research and study. -- Available online 3 May 2007.

 
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Created: Wed, 01 Aug 2007, 03:00:10 EST by Kamel Hooman on behalf of School of Engineering