Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow Export

@article{citeulike:1467897, abstract = {The budgets of the Reynolds stress, turbulent kinetic energy and streamwise enstrophy are evaluated through direct numerical simulations for the turbulent channel flow of a viscoelastic polymer solution modeled with the Finitely Extensible Nonlinear Elastic with the Peterlin approximation (FENE-P) constitutive equation. The influence of viscoelasticity on the budgets is examined through a comparison of the Newtonian and the viscoelastic budgets obtained for the same constant pressure drop across the channel. It is observed that as the extensional viscosity of the polymer solution increases there is a consistent decrease in the production of Reynolds stress in all components, as well as in the other terms in the budgets. In particular, the effect of the flow elasticity, which is associated with the reduction in the intensity of the velocity-pressure gradient correlations, potentially leads to a redistribution of the turbulent kinetic energy among the streamwise, the wall-normal and the spanwise directions. In this work, we also show that in the presence of viscoelasticity there is a significant reduction in all components of the production of streamwise enstrophy. This is consistent with a proposed mechanism for polymer-induced drag reduction through the inhibition of vortex stretching by the high extensional viscosity of the polymer solution. \©2001 American Institute of Physics.}, author = {Dimitropoulos, Costas D. and Sureshkumar, R. and Beris, Antony N. and Handler, Robert A.}, citeulike-article-id = {1467897}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PHFLE6000013000004001016000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?PHF/13/1016}, citeulike-linkout-2 = {http://dx.doi.org/10.1063/1.1345882}, doi = {10.1063/1.1345882}, journal = {Physics of Fluids}, keywords = {drag-reduction, polymers}, number = {4}, pages = {1016--1027}, posted-at = {2007-07-19 22:06:36}, priority = {5}, publisher = {AIP}, title = {Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow}, url = {http://dx.doi.org/10.1063/1.1345882}, volume = {13}, year = {2001} }

TY - JOUR ID - citeulike:1467897 L3 - citeulike-article-id:1467897 N2 - The budgets of the Reynolds stress, turbulent kinetic energy and streamwise enstrophy are evaluated through direct numerical simulations for the turbulent channel flow of a viscoelastic polymer solution modeled with the Finitely Extensible Nonlinear Elastic with the Peterlin approximation (FENE-P) constitutive equation. The influence of viscoelasticity on the budgets is examined through a comparison of the Newtonian and the viscoelastic budgets obtained for the same constant pressure drop across the channel. It is observed that as the extensional viscosity of the polymer solution increases there is a consistent decrease in the production of Reynolds stress in all components, as well as in the other terms in the budgets. In particular, the effect of the flow elasticity, which is associated with the reduction in the intensity of the velocity-pressure gradient correlations, potentially leads to a redistribution of the turbulent kinetic energy among the streamwise, the wall-normal and the spanwise directions. In this work, we also show that in the presence of viscoelasticity there is a significant reduction in all components of the production of streamwise enstrophy. This is consistent with a proposed mechanism for polymer-induced drag reduction through the inhibition of vortex stretching by the high extensional viscosity of the polymer solution. ©2001 American Institute of Physics. IS - 4 JF - Physics of Fluids EP - 1027 TI - Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow PB - AIP VL - 13 SP - 1016 KW - drag-reduction KW - polymers AU - Dimitropoulos, Costas AU - Sureshkumar, R AU - Beris, Antony AU - Handler, Robert PY - 2001/// UR - http://dx.doi.org/10.1063/1.1345882 ER -