Application of Momentum Integral Methods and Linearized Potential Theory for Predicting Separation Bubble Characteristics

[+] Author and Article Information
D. M. Stropky

Department of Mechanical Engineering, University of British Columbia, Vancouver, B.C., Canada

N. Djilali

Bombardier, Inc., Canadair Aerospace Group, Montreal, Quebec, Canada

I. S. Gartshore, M. Salcudean

Department of Mechanical Engineering, University of British Columbia, Vancouver, B. C., Canada V6T 1W5

J. Fluids Eng 112(4), 416-424 (Dec 01, 1990) (9 pages) doi:10.1115/1.2909419 History: Received January 03, 1989; Online May 23, 2008


A new viscous-inviscid interaction procedure of the semi-inverse type has been developed to predict two-dimensional separated flows. The method is applied to incompressible flow over an external backward-facing step, using linearized potential theory for the inviscid region and a simple modification of Pohlhausens’ momentum-integral method in the viscous region. The modified Pohlhausen method, which approximates the reverse flow region with a region of “dead-air,” is first tested without the viscous-inviscid procedure to predict fully developed laminar and turbulent flow in a plane symmetric sudden expansion. Comparisons are made with experimental data, other calculation methods, and finite difference predictions using a modified version of an elliptic code (TEACH-II). Reasonable predictions of the sudden expansion and backward-facing step flows are obtained, provided that the step-height to boundary-layer thickness ratio is large enough for the Pohlhausen type velocity profiles to be effective. The relative simplicity of the zonal equations coupled with the viscous-inviscid interaction procedure makes the present calculation method computationally attractive. The method should also prove useful in more complex separated flow situations, such as bluff-body aerodynamics.

Copyright © 1990 by The American Society of Mechanical Engineers
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