Numeric implementation of matched asymptotic expansions of Prandtl flow
Abstract
Results on a new Prandtl solver using Direct Formal Integration (DFI) are presented. This technique converts the Prandtl and conservationofmass (CM) equations into a set of integrodifferential equations. The match points between the Prandtl boundary layer and the external flow are sought as part of the solution. This is achieved by imposing the condition u = U where u(y) = 0 rather than some present y(max). The code generated is applied to a series of polynomial flows called the Howarth flows. The results are compared to those of Pohlhausen's (1965) technique, which models the velocity profile by a fourthorder polynomial.
 Publication:

Integral Methods in Science and Engineering
 Pub Date:
 1986
 Bibcode:
 1986imse.proc..249M
 Keywords:

 Asymptotic Methods;
 Boundary Layer Flow;
 Computational Fluid Dynamics;
 PrandtlMeyer Expansion;
 Boundary Layer Equations;
 Boundary Value Problems;
 Iterative Solution;
 Separated Flow;
 Fluid Mechanics and Heat Transfer