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Entropy generation in an asymmetrically cooled slab with temperature‐dependent internal heat generation
Authors:A Aziz  Waqar A Khan
Affiliation:1. Department of Mechanical Engineering, School of Engineering and Applied Science, Gonzaga University, Spokane, WA, USA;2. Department of Engineering Sciences, PN Engineering College, National University of Sciences and Technology, Karachi, Pakistan
Abstract:The paper presents an entropy generation analysis for steady conduction in a slab with temperature‐dependent volumetric internal heat generation. The slab experiences asymmetric convective cooling on its two faces. The exact analytical solution for the temperature distribution is used to compute dimensionless local and total entropy generation rates in the slab. The total entropy generation rate depends on five dimensionless parameters: reference heat generation temperature Q, the heat generation–temperature variation parameter a, the temperature asymmetry parameter λ, and Biot numbers Bi1 and Bi2. Graphs illustrating the effect of these five parameters on the local and total entropy generation rates are presented and discussed. It is found that the total entropy generation in the slab can be minimized with a suitable choice of the cooling parameters. The paper corrects the flawed entropy results published recently. The present results for the special case of uniform internal heat generation confirm the results presented in a 2003 paper. © 2012 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library ( wileyonlinelibrary.com/journal/htj ). DOI 10.1002/htj.20404
Keywords:local and total entropy generation rates  slab  temperature‐dependent internal heat generation  asymmetric cooling
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