Accession Number : AD0764820

Title :   The Vanishing Plate Flow.

Descriptive Note : Scientific interim rept.,

Corporate Author : NOTRE DAME UNIV IND DEPT OF AEROSPACE AND MECHANICAL ENGINEERING

Personal Author(s) : Fung,Francis C. W. ; Nee,Victor W.

Report Date : 1971

Pagination or Media Count : 56

Abstract : The transient flow pattern following the sudden vanish of a semi-infinite flat plate in steady motion is solved analytically as an initial value problem. The flow is considered viscous but laminar and incompressible. With the sudden disappearance of the plate, the Blasius profile will change with time to that of a uniform flow. Unlike the impulsively started flat plate problem in which the non-slip condition acts as constant source of vorticity generation, the sudden removal of the non-slip condition constitutes a phenomenon in which this vorticity generation effect due to the wall function is removed from other mechanisms. Here the two-dimensional unsteady boundary layer equations together with initial and boundary conditions are expressed in similarity variables by Stewartson's transformation to form the small time and layer time governing equations. The matched small time and large time solution form a uniformly small time and large time solution form a uniformly valid solution which gives the complete time history of the flow field development subsequent to the disappearance of the semi-infinite flat plate. (Author)

Descriptors :   (*LAMINAR FLOW, FLAT PLATE MODELS), INCOMPRESSIBLE FLOW, TWO DIMENSIONAL FLOW, VORTICES, PARTIAL DIFFERENTIAL EQUATIONS, FLOW FIELDS, LAMINAR BOUNDARY LAYER

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE