A FENE-P k-ε turbulence model for low and intermediate regimes of polymer-induced drag reduction

Journal of Non-Newtonian Fluid Mechanics

Volumn 166, Issue 12-13, 2011, Pages 639-660

  Resende, P R ^a,b   Kim, K ^c   Younis, B A ^d   Sureshkumar, R ^e   Pinho, F T ^a  

^a UNIVERSITY OF PORTO   (Portugal)

^b Inst Politécnico do Porto   (Portugal)

^c Hanbat National University   (South Korea)

^d University of California Davis   (United States)

^e Syracuse University   (United States)

Author keywords

FENE P; Polymer drag reduction; RANS; Turbulence model; Viscoelastic

Indexed keywords

CONFORMATION TENSOR; CROSS-CORRELATIONS; DISSIPATION RATES; EDDY VISCOSITY; EVOLUTION EQUATIONS; FENE-P; FENE-P MODEL; FINITELY EXTENSIBLE NONLINEAR ELASTICS; FLUCTUATING COMPONENTS; INTERMEDIATE REGIMES; LOW REYNOLDS NUMBER; MEAN VELOCITIES; NEWTONIAN SOLVENTS; NON-NEWTONIAN FLUID MECHANICS; PETERLIN APPROXIMATION; POLYMER CONFORMATION; POLYMER DRAG REDUCTION; POLYMER STRESS; RANS; RATE OF DISSIPATION; RATE-OF-STRAIN TENSORS; REYNOLDS SHEAR STRESS; TRANSPORT EQUATION; TURBULENT KINETIC ENERGY; VISCO-ELASTIC FLUID; VISCOELASTIC; VISCOELASTIC STRESS WORK;

CONTACTS (FLUID MECHANICS); DRAG REDUCTION; ELECTRON ENERGY LOSS SPECTROSCOPY; FLUID MECHANICS; FLUIDS; KINETIC ENERGY; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; NONLINEAR EQUATIONS; POLYMERS; REYNOLDS NUMBER; RHEOLOGY; SHEAR FLOW; STRAIN RATE; TENSORS; TURBULENCE MODELS; TURBULENT FLOW; VISCOELASTICITY;

COMPUTER SIMULATION;

EID: 79957489294     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2011.02.012     Document Type: Article

References (46)

1. Graham M.D. Drag reduction in turbulent flow of polymer solutions. Rheology Reviews 2004, 2:143-170.
2. White C.M., Mungal M.G. Mechanics and prediction of turbulent drag reduction with polymer additives. Annual Review of Fluid Mechanics 2008, 40:235-256.
3. Den Toonder J.M.J., Hulsen M.A., Kuiken G.D.C., Nieuwstadt F.T.M. Drag reduction by polymer additives in a turbulent pipe flow: numerical and laboratory experiments. Journal of Fluid Mechanics 1997, 337:193-231.
4. Gasljevic K., Matthys E.F. Experimental investigation of thermal and hydrodynamic development regions for drag-reducing surfactant solutions. Journal of Heat Transfer 1997, 119:80-88.
5. Sureshkumar R., Beris A.N., Handler R.A. Direct numerical simulation of the turbulent channel flow of a polymer solution. Physics of Fluids 1997, 9(3):743-755.
6. Housiadas K.D., Beris A.N., Handler R.A. Viscoelastic effects on higher order statistics and coherent structures in turbulent channel flow. Physics of Fluids 2005, 17:35106.
7. R.I. Leighton, D.T. Walker, T.R. Stephens, G.C. Garwood, Reynolds stress modeling for drag-reducing viscoelastic flow, in: Joint ASME/JSME Fluids Engineering Symposium on Friction Drag Reduction, Honolulu, Hawai, USA, 2003.
8. Li C.F., Gupta V.K., Sureshkmar R., Khomami B. Turbulent channel flow of dilute polymeric solutions: drag reduction scaling and an eddy viscosity model. Journal of Non-Newtonian Fluid Mechanics 2006, 139:177-189.
9. Pinho F.T., Li C.F., Younis B.A., Sureshkumar R. A low Reynolds number k-ε turbulence model for FENE-P viscoelastic fluids. Journal of Non-Newtonian Fluid Mechanics 2008, 154:89-108.
10. Durst F., Rastogi A.K. Calculations of turbulent boundary layer flows with drag reducing polymer additives. Physics of Fluids 1977, 20(12):1975-1985.
11. Mizushina T., Usui H. Reduction of eddy diffusion for momentum and heat in viscoelastic fluid flow in a circular tube. Physics of Fluids 1977, 20(10):S100-S107.
12. Malin M.R. Turbulent pipe flow of power-law fluids. International Communications in Heat Mass Transfer 1997, 24(7):977-988.
13. Malin M.R. Turbulent pipe flow of Herschel-Bulkley fluids. International Communications in Heat Mass Transfer 1998, 25(3):321-330.
14. Pinho F.T. 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 2003, 114:149-184.
15. Cruz D.O.A., Pinho F.T. Turbulent pipe flow predictions with a low Reynolds number k-ε model for drag reducing fluids. Journal of Non-Newtonian Fluid Mechanics 2003, 114:109-148.
16. Cruz D.O.A., Pinho F.T., Resende P.R. Modeling the new stress for improved drag reduction predictions of viscoelastic pipe flow. Journal of Non-Newtonian Fluid Mechanics 2004, 121:127-141.
17. Resende P.R., Escudier M.P., Presti F., Pinho F.T., Cruz D.O.A. Numerical predictions and measurements of Reynolds normal stresses in turbulent pipe flow of polymers. International Journal of Heat and Fluid Flow 2006, 27:204-219.
18. Pinho F.T., Sadanandan B., Sureshkumar R. One equation model for turbulent channel flow with second order viscoelastic corrections. Flow, Turbulence and Combustion 2008, 81:337-367.
19. Dimitropoulos C.D., Sureshkumar R., Beris A.N., Handler R.A. Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow. Physics of Fluids 2001, 13(4):1016-1027.
20. Dimitropoulos C.D., Sureshkumar R., Beris A.N. Direct numeric simulation of viscoelastic turbulent channel flow exhibiting drag reduction: effect of variation of rheological parameters. Journal of Non-Newtonian Fluid Mechanics 1998, 79:433-468.
21. Yu B., Kawaguchi Y. Parametric study of surfactant-induced drag-reduction by DNS. International Journal of Heat and Fluid Flow 2006, 27:887-894.
22. Ptasinski P.K., Boersma B.J., Nieuwstadt F.T.M., Hulsen M.A., Van Den Brule B.H.A.A., Hunt J.C.R. Turbulent channel flow near maximum drag reduction: simulation, experiments and mechanisms. Journal of Fluid Mechanics 2003, 490:251-291.
23. Gupta V.K., Sureshkumar R., Khomami B. Polymer chain dynamics in Newtonian and viscoelastic turbulent channel flows. Physics of Fluids 2004, 16:1546-1566.
24. Zhou Q., Akhavan R. A comparison of FENE and FENE-P dumbbell and chain models in turbulent flow. Journal of Non-Newtonian Fluid Mechanics 2003, 109:115-155.
25. Reddy G.V., Singh R.P. Drag reduction effectiveness and shear stability of polymer-polymer and polymer-fibre mixtures in recirculatory turbulent flow of water. Rheologica Acta 1985, 24:296-311.
26. Kalashnikov V.N. Degradation accompanying turbulent drag reduction by polymer additives. Journal of Non-Newtonian Fluid Mechanics 2002, 103:105-121.
27. Dubief Y., White C.M., Terrapon V.E., Shaqfeh E.S.G., Moin P., Lele S.K. On the coherent drag reducing and turbulence enhancing behaviour of polymers in wall flows. Journal of Fluid Mechanics 2004, 514:271-280.
28. Dimitropoulos C.D., Dubief Y., Shaqfeh E.S.G., Moin P., Lele S.K. Direct numerical simulation of polymer-induced drag reduction in turbulent boundary layer flow. Physics of Fluids 2005, 17:11705.
29. Li W., Li X., Graham M.D. Non-linear travelling waves as a framework for understanding turbulent drag reduction. Journal of Fluid Mechanics 2006, 565:353-362.
30. R. Leighton, D. Walker, S. Todd, Reynolds stress modeling for drag reducing viscoelastic flows, in: Proceedings of the 55th Annual Meeting of the American Physical Society, Division of Fluid Dynamics, Austin, Texas, 2002.
31. E.S. Shaqfeh, G. Iaccarino, M. Shin, A RANS model for turbulent drag reduction by polymer injection and comparison with DNS, in: Proceedings of the 78th Annual Meeting of The Society of Rheology, Portland, Maine, 2006.
32. Durbin P.A. Application of a near-wall turbulence model to boundary layers and heat transfer. International Journal of Heat and Fluid Flow 1993, 14:316-323.
33. Younis B.A., Gatski T.B., Speziale C.G. Towards a rational model for the triple velocity correlations of turbulence. Proceedings of the Royal Society of London 2000, 456:909-920.
34. Younis B.A., Speziale C.G., Clark T.T. A rational model for the turbulent scalar fluxes. Proceedings of the Royal Society of London 2005, 461:575-594.
35. Kim K., Adrian R.J., Balachandar S., Sureshkumar R. Dynamics of hairpin vortices and polymer-induced turbulent drag reduction. Physical Review Letters 2008, 100:134504.
36. Pope S.B. Turbulent Flows 2000, Cambridge University Press, Cambridge, UK.
37. Schlichting H., Gersten K. Boundary Layer Theory 2000, Springer, Heidelberg. eighth ed., revised and enlarged.
38. F.T. Pinho, Time-average double correlations in turbulence models of FENE-P viscoelastic fluids, Internal report, project FCT POCI/EQU/56342/2004, FEUP, Porto, 2005.
39. Mathieu J., Scott J. An Introduction to Turbulent Flow 2000, Cambridge University Press, Cambridge, UK.
40. Jones W.P., Launder B.E. The prediction of laminarization with a two-equation model of turbulence. International Journal of Heat and Mass Transfer 1972, 15:301-314.
41. Nagano Y., Hishida M. Improved form of the k-ε model for wall turbulent shear flows. Journal of Fluids Engineering 1987, 109:156-160.
42. Van Driest E.R. On turbulent flow near a wall. Journal of Aeronautical Sciences 1956, 23:1007-1011.
43. Y. Nagano, M. Shimada, Modeling the dissipation-rate equation for two-equation turbulence model, in: Ninth Symposium on Turbulent Shear Flows, Kyoto, Japan, 1993.
44. Park T.S., Sung H.J. A nonlinear low-Reynolds-number κ-ε model for turbulent separated and reattaching flows-I. Flow field computations. International Journal of Heat and Mass Transfer 1995, 38(14):2657-2666.
45. Iaccarino G., Shaqfeh E.S.G., Dubief Y. Reynolds-averaged modeling of polymer drag reduction in turbulent flows. Journal of Non-Newtonian Fluid Mechanics 2010, 165:376-384.
46. P.R. Resende, F.T. Pinho, B.A. Younis, K. Kim, R. Sureshkumar, Development of a k-ω turbulence model for FENE-P fluids, in: J.C.F. Pereira, A. Sequeira (Eds.), Paper 1400 in Proceedings of the Vth European Conference on Computational Fluid Dynamics, ECCOMAS CFD, Lisbon, Portugal, 14-17 June, 2010.