Inverse laminar boundarylayer problems with assigned shear The mechul function revisited
Abstract
An inverse method is presented which accurately determines the pressure distribution for assigned wall shear in a twodimensional, laminar, incompressible boundary layer. The method reformulates the mechul function scheme of Cebeci and Keller to produce a stable solution in the marching direction and to increase accuracy in the normal direction. In the reformulation a modified pressure gradient parameter variation in the normal direction is used in conjunction with threepoint backward differences for streamwise derivatives and fourthorder accurate splines for normal derivatives. The resulting splinefinite difference equations are solved by NewtonRaphson iteration together with partial pivoting. Numerical solutions are presented for selfsimilar and nonselfsimilar flows and compared with published results.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 December 1985
 DOI:
 10.1002/fld.1650051203
 Bibcode:
 1985IJNMF...5.1035K
 Keywords:

 Incompressible Boundary Layer;
 Laminar Boundary Layer;
 Shear Properties;
 Spline Functions;
 Differential Equations;
 Finite Difference Theory;
 Pressure Distribution;
 Two Dimensional Boundary Layer;
 Fluid Mechanics and Heat Transfer