Heat and Mass Transfer Research Journal (HMTRJ)

Research Article

The Effect of Non-uniform Energy Generation on Entropy Generation in a Plate being Cooled in a Fluid Medium

T. K. Favas and G. Jilani

Department of Mechanical Engineering, National Institute of Technology Calicut, Kerala, India 673 601

Submitted: September 6, 2017; Revised: November 24, 2017; Accepted: November 26, 2017

Abstract

The prime objective of the present numerical investigation is to examine the effect of non-uniform internal energy generation on entropy generation rates in a plate dissipating heat into its surrounding stream of fluid. Employing second-order accurate finite difference schemes, the partial differential equation governing the temperature distribution in the plate is solved along with the partial differential equations governing the flow and thermal fields in the fluid by satisfying the continuity of temperature and heat flux at the solid-fluid interface. Numerical results are presented and discussed for wide range of values of aspect ratio of the plate, conduction-convection parameter, total energy generation parameter, and flow Reynolds number. Finally, it is concluded that the assumption of uniform energy generation results in erroneous prediction of entropy generation rates. Further, it is found that error in prediction of global entropy generation rate increases with increase in conduction-convection parameter and flow Reynolds number, while it decreases with increase in aspect ratio of the plate and total energy generation parameter.

Keywords

Non-uniform energy generation; entropy generation; conjugate heat transfer; finite difference method

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