Accession Number : AD0473717

Title :   CONTRIBUTIONS TOWARD SOLUTIONS OF THE EQUATIONS OF HYDRODYNAMICS. PART B. PRIMITIVE SOLUTIONS FOR THE FLUCTUATING COMPONENTS OF TURBULENT FLOW BETWEEN PARALLEL PLATES.

Descriptive Note : Technical rept. Feb 64-Oct 65,

Corporate Author : GENERAL TECHNICAL SERVICES INC YEADON PA

Personal Author(s) : Iberall, Arthur S.

Report Date : OCT 1965

Pagination or Media Count : 60

Abstract : The immediate object of these studies is to develop an analytic methodology capable of solving continum hydrodynamic problems for both liminar and turbulent flow. It is shown, by the example of flow between parallel plates under a constant pressure gradient, that the continuum hydrodynamic equations may be solved analytically for the fluctuating components of turbulence. (An earlier study had demonstrated the nature of the driven fluctuating components in laminar flow.) In particular a complete primitive solution for the fluctuating components of a spectrum of turbulence is derived. What remains for completion of the parallel plate problem is the internally consistent determination of the parameters relating the spectral density and the mean value state. While the solution is lacking in these final mathematical details, the essential mathematical physical character of turbulence is revealed. Since turbulence may be induced by a variety of steady state inputs - pressure, temperature, rotation, mass concentrations, etc. - one solution set does not apply to all turbulence fields. Instead the solution set must be specialized for the particular class of averaged (in time) flow fields, as well as for the geometry that best fits boundary conditions. However the present methodology is quite general. (Author)

Descriptors :   (*HYDRODYNAMICS, MATHEMATICAL ANALYSIS), LAMINAR FLOW, TURBULENCE, FLUID FLOW, METAL PLATES, PARTIAL DIFFERENTIAL EQUATIONS, DETERMINANTS(MATHEMATICS), SERIES(MATHEMATICS), BOUNDARY VALUE PROBLEMS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE