Title: Minimum entropy generation for laminar boundary layer flow over a permeable plate

Authors: A. Reveillere, A.C. Baytas

Addresses: Universite de Toulouse (INSA, GMM), F-31077 Toulouse Cedex, France. ' Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey

Abstract: A two dimensional laminar boundary layer flow over an isothermal permeable flat plate with blowing and suction has been performed as similar solution for the velocity and temperature fields. The governing equations are approximated by a system of non-linear ordinary differential equations which are solved numerically by applying the shooting iteration method along with fourth-order Runge-Kutta integration scheme. The utilisation of the second law of thermodynamics is focused on the entropy generation minimisation for the optimum blowing and suction velocities on the permeable wall for Pr from 10⁻² to 10² and Br, from 10⁻² to 10² and the blowing/suction velocity, f_w, from −1.238 to 5.

Keywords: minimum entropy generation; laminar boundary layers; similarity; blowing; suction; permeable plates; forced convection; nonlinear ODEs; ordinary differential equations; second law of thermodynamics; laminar flow.

DOI: 10.1504/IJEX.2010.031238

International Journal of Exergy, 2010 Vol.7 No.2, pp.164 - 177

Received: 02 Nov 2008
Accepted: 30 Jan 2009
Published online: 26 Jan 2010 *

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