Accession Number : AD0715852

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

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Danberg,James E.

Report Date : OCT 1970

Pagination or Media Count : 50

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 similariy 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. (Author)

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

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE