Finite difference procedure for boundary layers including effects of longitudinal and transverse curvatures
Abstract
A second order viscous layer solution procedure has been developed that does in a consistent way include curvature effects and the corresponding normal pressure gradients. In the present system, the normal momentum equation is retained. The parabolic system of nonlinear partial differential equations is converted by linear finite differencing procedures to a system of linear algebraic equations and solved in primitive coordinates. The solutions have been shown to give smooth stable distributions for all the variables, most particularly the normal velocity which plays an important role in the interaction procedure. An algorithm for matching the viscous layer solution with a rotational characteristics outer solution has been developed.
 Publication:

9th Fluid and Plasma Dynamics Conference
 Pub Date:
 July 1976
 Bibcode:
 1976fpdy.confS....T
 Keywords:

 Compressible Boundary Layer;
 Curvature;
 Finite Difference Theory;
 Laminar Boundary Layer;
 Supersonic Flow;
 Viscous Flow;
 Boundary Layer Equations;
 Flat Plates;
 Parabolic Differential Equations;
 Pressure Gradients;
 Turbulent Flow;
 Two Dimensional Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer