Parametric study of a viscoelastic RANS turbulence model in the fully developed channel flow

Document Type: Research Paper

Authors

1 Department of Mechanical Engineering, University of Tehran, Tehran, Iran

2 University of Tehran

3 university of tehran

Abstract

One of the newest of viscoelastic RANS turbulence models for drag reducing channel flow with polymer additives is studied in different flow and rheological properties. In this model, finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model is used to describe the viscoelastic effect of polymer solution and turbulence model is developed in the k-ϵ-(ν^2 ) ̅-f framework. The geometry in this study is two-dimensional channel flow and finite volume method (FVM) with a non-uniform collocated mesh is used to solve the momentum and constitutive equations. In order to evaluate this turbulence model, several cases with different parameters such as Reynolds numbers, Weissenberg number, maximum polymer extensibility and concentration of polymer are simulated and assessed against direct numerical simulation (DNS) data. The velocity profiles, shear stress profiles and the percentage of friction drag reduction predicted by this turbulence model are in good agreement with DNS data at moderate to high Reynolds numbers. However, in low Reynolds numbers, the results of model are reliable only for low 〖 L〗^2 value. Moreover, in case of high concentration of polymer, the accuracy of the model is lost.

Keywords

Main Subjects


[1] Virk P. S., 1975, Drag reduction fundamentals, AIChE Journal, 21(4): 625-656.

[2] White C. M., Mungal M. G., 2008, Mechanics and prediction of turbulent drag reduction with polymer additives, Annu. Rev. Fluid Mech 40: 235-256.

[3] Ptasinski P. K., Boersma B.J., Nieuwstadt F. T. M., Hulsen M.A., Van den Brule B. H. A. A., Hunt J. C. R., 2003, Turbulent channel flow near maximum drag reduction: simulations, experiments and mechanisms, Journal of Fluid Mechanics  490: 251-291.

[4] Min T., Yoo J. Y., Choi H., Joseph D. D., 2003, Drag reduction by polymer additives in a turbulent channel flow, Journal of Fluid Mechanics 486: 213-238.

[5] Li C. F., Sureshkumar R., Khomami B., 2006, Influence of rheological parameters on polymer induced turbulent drag reduction, Journal of Non-Newtonian Fluid Mechanics 140(1): 23-40.

[6] Thais L., Gatski T. B., Mompean G., 2012, Some dynamical features of the turbulent flow of a viscoelastic fluid for reduced drag, Journal of Turbulence 13(19): 1-26.

[7] Thais L., Gatski T.B., Mompean G., 2013, Analysis of polymer drag reduction mechanisms from energy budgets, International Journal of Heat and Fluid Flow 43: 52-61.

[8] Pinho F.T., 2003, A GNF framework for turbulent flow models of drag reducing fluids and proposal for a k–ε type closure, Journal of Non-Newtonian Fluid Mechanics 114(2): 149-184.

[9] Pinho  F. T., Li, C. F., Younis  B. A., Sureshkumar R., 2008, A low Reynolds number turbulence closure for viscoelastic fluids, Journal of Non-Newtonian Fluid Mechanics 154(2): 89-108.

[10] Resende P. R., Pinho  F. T., Younis B. A., Kim K., Sureshkumar R., 2013, Development of a Low-Reynolds-number k-ω Model for FENE-P Fluids, Flow, turbulence and combustion 90(1): 69-94.

[11] Iaccarino G., Shaqfeh E. S., Dubief Y., 2010, Reynolds-averaged modeling of polymer drag reduction in turbulent flows, Journal of Non-Newtonian Fluid Mechanics 165(7): 376-384.

[12] Thais L., Tejada-Martinez A. E., Gatski T. B., Mompean G., 2010, Temporal large eddy simulations of turbulent viscoelastic drag reduction flows. Physics of Fluids 22(1): 013103.

[13]  Durbin P. A., 1995, Separated flow computations with the k-epsilon-v-squared model, AIAA journal 33(4): 659-664.

[14] Masoudian M., Kim K., Pinho F.T., Sureshkumar R., 2013, A viscoelastic turbulent flow model valid up to the maximum drag reduction limit, Journal of Non-Newtonian Fluid Mechanics 202: 99-111.

[15] Bird R.B., Curtiss C.F., Amstrong R.C., Hassager O., 1987, Dynamics of Polymeric Fluids, John Wiley & Sons, New York, Second Edition.

[16] Dean R.B., 1978, Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow, J. Fluids Eng 100(2): 215-223.