Accession Number : ADA195121

Title :   Development of a More General Reynolds Stress Closure for Swirling Flow.

Descriptive Note : Final rept.,

Corporate Author : SHEFFIELD UNIV (ENGLAND)

Personal Author(s) : Chin, S B ; Swithenbank, J

PDF Url : ADA195121

Report Date : Mar 1988

Pagination or Media Count : 16

Abstract : This paper is concerned with the modelling of the return to isotropy part of the pressure strain term in homogeneous anisotropic turbulent flows. Analytical solutions of the transport equations of the invariants of the anisotropy tensor as well as that of turbulent kinetic energy as a function of the natural time of decay are provided and discussed. Principal components of the Reynolds stresses are obtained from the solution of a cubic equation which involves the invariants. It is shown that current models based on Rotta's hypothesis are subject to a constraint which is only satisfied by axisymmetric homogeneous turbulence, and the constraint can be eliminated by non-linear modelling. A physical picture of energy transfer among the Reynolds stress components which takes into account the influence of the third invariant on the process of return to isotropy is presented. Keywords: Second order closure; Reynolds stress model; Homogeneous turbulence; Non-linear effects; Swirling flows; Compressible flows.

Descriptors :   *COMPRESSIBLE FLOW, *MOMENTUM TRANSFER, *TURBULENCE, *TURBULENT FLOW, *SHEAR STRESSES, ANISOTROPY, AXISYMMETRIC, CLOSURES, DECAY, ENERGY TRANSFER, HOMOGENEITY, HYPOTHESES, INVARIANCE, KINETIC ENERGY, MODELS, NONLINEAR SYSTEMS, SOLUTIONS(GENERAL), STRESSES, TENSORS, TIME, TRANSPORT PROPERTIES, GREAT BRITAIN

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE