Accession Number : AD0737399

Title :   A Similarity Solution for Slow Viscous Flow Down an Inclined Plane,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF METEOROLOGY

Personal Author(s) : Smith,Peter C.

Report Date : JAN 1972

Pagination or Media Count : 38

Abstract : A similarity solution is found for the distribution of layer thickness in the slow flow of a three-dimensional, thin, viscous jet down an inclined plane. In the context of a formal asymptotic expansion in inverse powers of x, the distance downstream from the source, the solution is recognized as the zeroth-order asymptotic limit. Making use of physical arguments to exclude certain complementary functions, the solution of the first-order problem is found to be a polynomial of fourth degree. A simple experiment confirms the major features of the similarity solution. Deviations of the layer thickness measurements from the parabolic profile follow the trend predicted by the first-order corrections in the portion of flow near the edge, whereas systematically high values in the central region are explained qualitatively in terms of waves at the free surface. (Author)

Descriptors :   (*OCEAN CURRENTS, OCEAN BOTTOM), (*FLUID FLOW, BOUNDARY LAYER), VISCOSITY, INTEGRALS, ASYMPTOTIC SERIES, NUMERICAL ANALYSIS

Subject Categories : Physical and Dynamic Oceanography
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE