Effect of Finite Thickness Flexible Boundary Upon the Stability of a Poiseuille Flow

[+] Author and Article Information
Mauro Pierucci, Pedro G. Morales

Department of Aerospace Engineering and Engineering Mechanics, College of Engineering, San Diego State University, San Diego, CA 92182

J. Appl. Mech 57(4), 1056-1060 (Dec 01, 1990) (5 pages) doi:10.1115/1.2897625 History: Received July 29, 1988; Revised July 31, 1989; Online March 31, 2008


The stability behavior, the stress, and velocity distributions for a plane Poiseuille flow bounded by a finite thickness elastic layer is studied. The analysis is performed by utilizing the coupled relationships between the Orr-Sommerfeld stability equation for the fluid and the Navier equations for the solid. The numerical instabilities experienced in the solution of the Orr-Sommerfeld equation have been overcome with the use of Davey’s orthonormalization technique. This study focuses only on the Tollimen-Schlichting instabilities. This mode is the most unstable of the three different types of instabilities. The results show that certain combinations of parameters can lead to improved stability conditions. Under these conditions the normal and shear stress distributions may behave completely different in certain regions of the fluid.

Copyright © 1990 by The American Society of Mechanical Engineers
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