ACCOUNTING FOR REYNOLDS STRESS AND DISSIPATION RATE ANISOTROPIES IN INERTIAL AND NONINERTIAL FRAMES

This paper presents a general procedure for including added effects, s uch as turbulent dissipation rate anisotropies. into algebraic stress formulations in both inertial and noninertial frames of reference. Exp licit algebraic stress models, which assume an isotropic turbulent dis sipation rate, have been developed previously and extended for applica tion to noninertial frames. Independently, anisotropic dissipation rat e models have also been developed. Recently, an algebraic, anisotropic dissipation rate model has been developed and used in conjunction wit h a full Reynolds stress closure. Unfortunately, in the theoretical fo rmulations used previously for explicit algebraic models, the combinat ion of the algebraic stress and algebraic dissipation rate models only appeared possible for inertial frames. The alternative procedure outl ined here remedies this problem and allows for the construction of a c omposite model for both inertial and noninertial frames. This new comp osite model formulation is tested in homogeneous shear with and withou t rotation, and in strongly rotating channel and pipe flows using diff erent types of anisotropic dissipation rate models. (C) 1998 American Institute of Physics.