Title: Entropy generation in an asymmetrically cooled hollow sphere with temperature dependent internal heat generation

Authors: Abdul Aziz; Waqar Ahmed Khan

Addresses: Department of Mechanical Engineering, Gonzaga University, Spokane, WA 99258, USA. ' Department of Engineering Sciences, PN Engineering College, National University of Sciences and Technology, Karachi 75350, Pakistan

Abstract: This paper presents an entropy generation analysis for steady conduction in a hollow sphere with temperature dependent internal heat generation and asymmetric convective cooling. An exact analytical solution for the temperature distribution is used to compute dimensionless local and total entropy generation rates in the hollow sphere. The total entropy generation rate depends on reference heat generation rate 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 parameters on the local and total entropy generation rates are presented. Total entropy generation in the hollow sphere can be minimised with an appropriate choice of cooling parameters.

Keywords: local entropy generation rates; total entropy generation rates; hollow spheres; temperature dependent internal heat generation; asymmetric cooling; steady conduction.

DOI: 10.1504/IJEX.2012.045064

International Journal of Exergy, 2012 Vol.10 No.1, pp.110 - 123

Received: 28 May 2011
Accepted: 14 Jul 2011

Published online: 24 Jan 2012 *

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