A KarmanPohlhausen type approximate method for solving second order boundary layer equations
Abstract
In this paper a KarmanPohlhausen type method is developed for approximately solving the incompressible twodimensional second order boundary layer equations, by expanding all the variables (momentum and displacement thickness, etc.) in an asymptotic series in powers of inverse square root of Reynolds number. To the first order we recover back the well known KarmanPohlhausen method. Solutions are worked out for a few particular cases in longitudinal curvature problem corresponding to which similarity solutions exist. The results obtained thus not only compare well with the exact solutions but also are fairly insensitive to the order of polymonial approximation adopted for the velocity profiles. It is shown finally, but taking a simple example, that depending on its gradient even a positive curvature can lead to a positive increment to skin friction (in contrary to the usual notion).
 Publication:

5th Australasian Conference on Hydraulics and Fluid Mechanics,Volume 1
 Pub Date:
 1975
 Bibcode:
 1975hfm.....1..546P
 Keywords:

 Boundary Layer Equations;
 Incompressible Boundary Layer;
 Skin Friction;
 Two Dimensional Boundary Layer;
 Momentum Theory;
 Numerical Analysis;
 Perturbation Theory;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer