Journal of Applied Science and Engineering

Published by Tamkang University Press

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M. E. Sayed-Ahmed This email address is being protected from spambots. You need JavaScript enabled to view it.1, A. Saif-Elyazal1 and L. Iskander2

1Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum-63111, Egypt
2Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza-12163, Egypt


 

Received: November 29, 2006
Accepted: September 5, 2007
Publication Date: March 1, 2009

Download Citation: ||https://doi.org/10.6180/jase.2009.12.1.10  


ABSTRACT


Laminar fully developed flow and heat transfer of Herschel-Bulkley fluids through rectangular duct is investigated numerically. The non-linear momentum and energy equations are solved numerically using finite-element approximations. We consider two cases of thermal boundary conditions H1 and T thermal boundary conditions. The velocity, temperature profiles, product of friction factor-Reynolds number and Nusselt number for H1 and T thermal boundary conditions are computed for various values of the physical parameters of the Herschel-Bulkley fluids and aspect ratio of the duct. The present results have been compared with the known solution for Newtonian and power-law fluids and are found to be in good agreement.


Keywords: Numerical Analysis, Non-Newtonian Fluids, Heat Transfer, Rectangular Duct


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