Accession Number : AD0824107

Title :   THE NUMERICAL SOLUTION OF BOUNDARY LAYER PROBLEMS.

Descriptive Note : Scientific interim rept.,

Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF AEROSPACE ENGINEERING

Personal Author(s) : Lubard, Stephen C. ; Schetz, Joseph A.

Report Date : SEP 1967

Pagination or Media Count : 27

Abstract : A new approach to the numerical solution of the steady boundary layer equations is presented. The technique is developed in detail here for incompressible, laminar problems; the extension to compressible and/or turbulent flow is straightforward. Normal derivatives are approximated by finite differences yielding a nonlinear system of ordinary differential equations which is integrated in the streamwise direction starting from an initial velocity profile. The method is applicable to arbitrary choices of the initial profile, the pressure gradient and/or the injection or suction distribution. The classical Howarth Problem and the boundary layer on a circular cylinder are solved as test cases; velocity profiles, skin friction and the separation point are all predicted accurately. The solution for a flat plate with constant injection is then presented and compared with previous approximate results. As a final example, flow around a porous circular cylinder with various rates of injection is treated. (Author)

Descriptors :   (*BOUNDARY LAYER, NUMERICAL ANALYSIS), NUMERICAL INTEGRATION, BOUNDARY LAYER CONTROL, CYLINDRICAL BODIES, SUCTION SLOTS, NONLINEAR DIFFERENTIAL EQUATIONS, FLOW SEPARATION, INJECTION, INCOMPRESSIBLE FLOW, LAMINAR BOUNDARY LAYER, TURBULENCE, COMPRESSIBLE FLOW, FRICTION, POROSITY, DIFFERENCE EQUATIONS.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE