Reynolds-Stress Modeling for FENE-P Polymer Flows
Abstract
Development of a Reynolds-stress-transport-equation model for FENE-P polymer flows will be described. A Reynolds-averaged set of equations governing FENE-P fluids has been developed, including the mean momentum equations with polymer stresses, mean conformation tensor equations, and Reynolds-stress transport equations. The Reynolds-stress transport equations contain additional terms representing the work-rate of the fluctuating polymer stresses, which act as a net dissipation mechanism for turbulence energy. A tensorially correct model for this polymer dissipation term has been developed and verified via comparison to FENE-P DNS simulations (Housiadas & Beris, private communication). In addition, implicit effects in the pressure-strain redistribution caused by the polymer stresses have been modeled using a modified Rotta coefficient in the slow pressure-strain model. The polymer effects have been implemented in the Launder & Shima Reynolds-stress model. Computations for channel flow using the model show that the mean velocity profile, the Reynolds shear stress and the mean polymer stresses are predicted quite well. The degree of anisotropy of the turbulent normal stresses in the near-wall region, which is enhanced by the polymers, is underestimated.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2003
- Bibcode:
- 2003APS..DFD.JR005W