Instability of Laminar Natural Convection Boundary Layer Flow on a Vertical Porous Flat Plate

[+] Author and Article Information
T. Watanabe

Department of Mechanical Engineering, Faculty of Engineering, Iwate University, Morioka 020, Japan

H. Taniguchi

Department of Machine Intelligence and System Engineering, Faculty of Engineering, Tohoku University, Sendai 980, Japan

I. Pop

University of Cluj, R-3400 Cluj, CP253, Romania

J. Appl. Mech 63(2), 404-410 (Jun 01, 1996) (7 pages) doi:10.1115/1.2788879 History: Received February 07, 1994; Revised May 19, 1995; Online October 26, 2007


The effects of uniform suction and injection on the linear stability theory of laminar natural convection boundary layer flow along a vertical porous flat plate which is maintained at a constant temperature are studied. The nonsimilar boundary layer equations for the basic steady flow have been solved numerically employing a very efficient finite difference scheme in combination with an iterative method for solving the resulting ordinary differential equations. The temporal neutral stability theory for wavelike disturbances of Tollmien-Schlichting type are then presented for the velocity and temperature functions. The corresponding eigenvalue problem for the disturbance amplitude functions is also solved numerically using a very accurate method. Results are presented graphically for both the basic and disturbance velocity and temperature profiles for some values of the modified local Grashof number G and suction or injection parameter X . The Prandtl number Pr is taken to be 0.73 (air) throughout this paper. The results show clearly the important role that suction or injection parameter X may have on the basic and disturbance flow characteristics in this problem.

Copyright © 1996 by The American Society of Mechanical Engineers
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