Journal of Fluid Mechanics

Effect of longitudinal surface curvature on boundary layers

Roddam  Narasimha a1 and S. K.  Ojha a1
a1 Department of Aeronautical Engineering, Indian Institute of Science, Bangalore, India

Article author query
narasimha r   [Google Scholar] 
ojha sk   [Google Scholar] 


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.

(Published Online March 28 2006)
(Received February 21 1966)
(Revised February 6 1967)