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Effect of longitudinal surface curvature on boundary layers

Published online by Cambridge University Press:  28 March 2006

Roddam Narasimha  and
S. K. Ojha
Roddam Narasimha
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore, India
S. K. Ojha
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore, India
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Abstract

We consider here the higher order effect of moderate longitudinal surface curvature on steady, two-dimensional, incompressible laminar boundary layers. The basic partial differential equations for the problem, derived by the method of matched asymptotic expansions, are found to possess similarity solutions for a family of surface curvatures and pressure gradients. The similarity equations obtained by this anaylsis have been solved numerically on a computer, and show a definite decrease in skin friction when the surface has convex curvature in all cases including zero pressure gradient. Typical velocity profiles and some relevant boundary-layer characteristics are tabulated, and a critical comparison with previous work is given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 1 , 18 July 1967 , pp. 187 - 199
Copyright
© 1967 Cambridge University Press

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