Accession Number : AD0477961

Title :   VISCOELASTIC FLOW PAST A WEDGE WITH A SOLUBLE COATING.

Descriptive Note : Technical rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF ENGINEERING MECHANICS

Personal Author(s) : Hsu ,Chen-Chi ; Graebel,W. P.

Report Date : DEC 1965

Pagination or Media Count : 57

Abstract : The steady, two dimensional, incompressible flow of a viscoelastic fluid past a wedge of 90 degrees coated with the viscoelastic material is studied theoretically using constitutive equations proposed by Oldroyd in 1958. The effect of diffusion of the coating as well as its material properties (viscosity, relaxation time, retardation time, etc.) on the frictional force is investigated. A boundary layer analysis is performed on the constitutive equations as well as the momentum equations; consequently, the constitutive equations give the dimensionless shear stress. A similarity transformation is found for the set of boundary layer equations. Series expansions and the method of steepest descent are employed to obtain the solution in the asymptotic series of gamma functions. Results indicate (1) the thinner displacement thickness does not necessarily imply a larger frictional force for the viscoelastic flow; and (2) for a homogeneous viscoelastic flow, the frictional force increases as the degree of dilatancy of the material increases, and decreases with increasing degree of pseudoplasticity of the material. (Author)

Descriptors :   (*FLUID FLOW, VISCOELASTICITY), INCOMPRESSIBLE FLOW, WEDGES, PLASTIC COATINGS, VISCOSITY, RELAXATION TIME, FRICTION, BOUNDARY LAYER, BOUNDARY VALUE PROBLEMS, SHEAR STRESSES, TRANSFORMATIONS(MATHEMATICS), SERIES(MATHEMATICS), PLASTIC PROPERTIES

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE