Stability of a Laminar Boundary Layer Flowing Along a Concave Surface

[+] Author and Article Information
M. V. Finnis, A. Brown

School of Mechanical, Materials, and Civil Engineering, Royal Military College of Science, Shrivenham, Swindon, Wilts, SN6 8LA, United Kingdom

J. Turbomach 111(4), 376-386 (Oct 01, 1989) (11 pages) doi:10.1115/1.3262284 History: Received September 15, 1987; Online November 09, 2009


Görtler instability for incompressible laminar boundary-layer flows over constant curvature concave surfaces is considered. The full linearized disturbance equations are solved by the Galerkin method using Chebyshev polynomials to represent the disturbance functions. Stability curves relating Görtler number, wave number, and vortex amplification for a Blasius mean flow are presented. The effect of streamwise pressure variation is investigated using the Falkner–Skan boundary-layer solutions for the mean flow. The importance of including the normal velocity terms for these flows is shown by their effect on the stability curves. The streamwise velocity distribution in the boundary layer on a 3-m radius of curvature plate was investigated experimentally. The results are compared with the stability curves and predicted disturbance functions.

Copyright © 1989 by ASME
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