Accession Number : AD0700427

Title :   AN ANALYTIC SOLUTION FOR FLOW DEVELOPMENT OF SYMMETRIC SELF-PRESERVING JETS AND WAKES, USING AN INTEGRAL METHOD,

Corporate Author : MCGILL UNIV MONTREAL (QUEBEC)

Personal Author(s) : Vogel,W. M.

Report Date : 09 APR 1969

Pagination or Media Count : 6

Abstract : A closed form solution is developed for the rate of growth and shear stress parameter of symmetric, self-preserving wakes and jets in streaming flow. A universal shape for the mean velocity profile is assumed and enables the approximate turbulent boundary layer equation to be integrated across the flow. By choosing two different limits for the integration, two equations are developed, one of which depends on the turbulent stress at a particular non-dimensional distance from the axis of symmetry. A semi-empirical expression is developed, relating the turbulent shear stress to the ratio of the mean longitudinal rate of strain to the mean shear. This is used to give an analytical solution for the growth parameters for the full range of self-preserving jets and wakes. The theory differs in one important detail from that of Gartshore in that the axis along which the longitudinal rate of strain is identified is not the axis of symmetry but is near to the locus of inflection points of the mean velocity profile. Graphs of the functions are given for both two-dimensional and axisymmetric flow. (Author)

Descriptors :   (*WAKE, *AXIALLY SYMMETRIC FLOW), (*TWO DIMENSIONAL FLOW, SHEAR STRESSES), (*JETS, *SHEAR STRESSES), NUMERICAL INTEGRATION, TURBULENCE, APPROXIMATION(MATHEMATICS), CANADA

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE