Accession Number : AD0715852

Title :   Generalization of the Similarity Equations for Continuous Surface Boundary Layers

Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s) : Danberg, James E

PDF Url : AD0715852

Report Date : Oct 1970

Pagination or Media Count : 47

Abstract : Through a generalization of the continuous surface problem (i.e., boundary layers on a moving belt or behind a shock wave), an equation is derived which encompasses many of the well known similary solutions of boundary layer theory as well as some solutions not previously considered. Since these problems involve both free stream and wall velocities, similarity variables are introduced which depend on velocity differences. The parameter B = U sub infinity/(U sub W -U sub infinity) describes the relative importance of the boundary conditions along with the usual pressure gradient parameter, beta. This formulation of the problem includes the following special cases: flat plate (Blasius), accelerating or decelerating flow (Falkner-Skan), boundary layer behind a shock or expansion wave (Mirels), continuous surface (Sakiadis) and accelerating wall and free stream (Moore). Two new conditions not previously considered involve reverse flow and acceleration and deceleration of a continuous surface boundary layer. Preliminary numerical calculations have been made for these conditions.

Descriptors :   *BOUNDARY LAYER, COMPRESSIBLE FLOW, DYNAMICS, EQUATIONS OF MOTION, GRAPHICS, INCOMPRESSIBLE FLOW, INTEGRAL EQUATIONS, NUMERICAL INTEGRATION, PARTIAL DIFFERENTIAL EQUATIONS, PRANDTL NUMBER, REYNOLDS NUMBER, SHOCK WAVES, VISCOSITY

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE