Numerical simulation of turbulent drag reduction using rigid fibres

Journal of Fluid Mechanics

Volumn 518, Issue , 2004, Pages 281-317

  Paschkewitz, J S ^a   Dubief, Yves ^b   Dimitropoulos, Costas D ^a,b   Shaqfeh, Eric S G ^a   Moin, Parviz ^a,b  

^a Stanford University   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; DRAG; EQUATIONS OF MOTION; REDUCTION; VECTORS; VISUALIZATION; VORTEX FLOW;

DRAG REDUCTION; VECTOR ORIENTATION;

TURBULENT FLOW;

DRAG; FLUID MECHANICS; MATHEMATICAL ANALYSIS; TURBULENCE;

EID: 8644248919     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004001144     Document Type: Article

References (71)

1. ADVANI, S. & TUCKER, C. 1987 The use of tensors to describe and predict fibre orientation in short fibre composites. J. Rheol. 31, 751-784.
2. ADVANI, S. & TUCKER, C. 1990 Closure approximations for three-dimensional structure tensors. J. Rheol. 34, 367-386.
3. AHMED, A. & ELGOBASHI, S. 2000 On the mechanisms of modifying the structure of turbulent homogeneous shear flows by dispersed particles. Phys. Fluids 12, 2906-2930.
4. AZAIEZ, J. 2000 Linear stability analysis of free shear flows of fibre suspensions. J. Fluid Mech. 404, 179-209.
5. BATCHELOR, G. 1959 Small-scale variation of convected quantities like temperature in a turbulent fluid. J. Fluid Mech. 5, 113-133.
6. BERlS, A. & DIMITROPOULOS, C. 1999 Pseudospectral simulation of turbulent viscoelastic channel flow. Comput. Methods Appl. Mech. Engng 180, 365-392.
7. BLACKBURN, H., MANSOUR, N. & CANTWELL, B. 1996 Topology of fine scale motions in turbulent channel flow. J. Fluid Mech. 310, 269-292.
8. BRENNER, H. 1974 Rheology of a dilute suspension of axisymmetric Brownian particles. Intl J. Multiphase Flow 1, 195-341.
9. CHOI, H., MOIN, P. & KIM, J. 1994 Active turbulence control for drag reduction in wall-bounded flows. J. Fluid Mech. 262, 75-110.
10. CHUNG, D. & KWON, T. 2001 Improved model of orthotropic closure approximation for flow-induced fibre orientation. Polymer Comput. 22, 636-649.
11. CHUNG, D. & KWON, T. 2002 Invariant-based optimal fitting closure approximation for the numerical prediction of flow-induced fibre orientation. J. Rheol. 46, 169-194.
12. CINTRA, J. & TUCKER, C. 1995 Orthotropic closure approximations for flow-induced fibre orientation. J. Rheol. 39, 1095-1122.
13. DIMITROPOULOS, C., SURESHKUMAR, R. & BERIS, A. 1998 Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: effect of variation of rheological parameters. J. Non-Newtonian Fluid Mech. 79, 433-468.
14. DIMITROPOULOS, C., SURESHKUMAR, R., BERIS, A. & HANDLER, R. 2001 Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow. Phys. Fluids 13, 1016-1027.
15. DINGILIAN, G. & RUCKENSTEIN, E. 1974 Positive and negative deviations from additivity in drag reduction of binary dilute polymer solutions. AIChE J. 20, 1222-1224.
16. DOI, M. & EDWARDS, S. 1986 The Theory of Polymer Dynamics. Oxford University Press.
17. DUBIEF, Y. 2002 Numerical simulation of turbulent polymer solutions. In Center for Turbulence Research Annual Briefs, pp. 1-12. NASA Ames/Stanford University.
18. DUBIEF, Y. & DELCAYRE, F. 2000 On coherent-vortex identification in turbulence. J. Turbulence 1, 011.
19. DUBIEF, Y. & LELE, S. 2001 Direct numerical solution of polymer flow. In Center for Turbulence Research Annual Briefs, pp. 197-298. NASA Ames/Stanford University.
20. DUBIEF, Y., TERRAPON, V., WHITE, C., SHAQFEH, E., MOIN, P. & LELE, S. 2004a New answers on the interacton between polymers and vortices in turbulent flows. Flow Turbulence Combust. (in press).
21. DUBIEF, Y., WHITE, C., TERRAPON, V. E., SHAQFEH, E., MOIN, P. & LELE, S. 2004b On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows. J. Fluid Mech. 514, 271-280.
22. FAN, F. & AHMADI, G. 2000 Wall deposition of small ellipsoids from turbulent air flows - a Brownian dynamics simulation. J. Aerosol Sci. 31, 1205-1229.
23. FENG, J. & JOSEPH, D. 1995 The unsteady motion of solid bodies in creeping flows. J. Fluid Mech. 303, 83-102.
24. FOLGAR, F. & TUCKER, C. 1984 Orientation behavior of fibres in concentrated suspensions. J. Reinforced Plastics Composites 3 98-119.
25. HINCH, E. & LEAL, L. 1972 The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles.J. Fluid Mech. 52, 683-712.
26. HINCH, E. & LEAL, L. 1975 Constitutive equations in suspension mechanics. Part 1. General formulation. J. Fluid Mech. 71, 481-495.
27. HINCH, E. & LEAL, L. 1976 Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations. J. Fluid Mech. 76, 187 208.
28. JIMENEZ, J. & MOIN, P. 1991 The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225, 213-240.
29. JIMENEZ, J. & PINELLI, A. 1999 The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389, 335-359.
30. JOSEPH, D. 1990 Fluid Dynamics of Viscoelastic Liquids. Springer.
31. KALE, D. & METZNER, A. 1976 Turbulent drag reduction in dilute fibre suspensions: mechanistic considerations. AIChE J. 22, 669-674.
32. KIM, J., MOIN, P. & MOSER, R. 1987 Turbulent statistics in a fully developed turbulent channel flow. J. Fluid Mech. 177, 133-166.
33. KIM, S. & KARRILA, S. 1991 Microhydrodynamics: Principles and Selected Applications. Butterworth Heinemann.
34. KOCH, D. 1995 A model for orientational diffusion in fibre suspensions. Phys. Fluids 7, 2086-2088.
35. KOCH, D. & HILL, R. 2001 Inertial effects in suspension and porous media flows. Annu. Rew. Fluid. Mech. 33, 619-647.
36. KOCH, D. & SHAQFEH, E. 1990 The average rotation rate of a fibre in the linear flow of a semidilute suspension. Phys. Fluids A 2, 2093-2102.
37. KRAVCHENKO, A., CHOI, H. & MOIN, P. 1993 On the relation of near-wall streamwise vortices to wall skin friction in turbulent boundary layers.Phys. Fluids A 5, 3307-3309.
38. KULICK, J., FESSLER, J. & EATON, J. 1994 Particle response and modification in fully turbulent channel flow. J. Fluid Mech. 277, 109-134.
39. LARSON, R.1999 The Structure and Rheology of Complex Liquids. Oxford University Press.
40. LE, H. & MOIN, P. 1991 An improvement in fractional step methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 92, 369-379.
41. LEE, C. & KIM, J. 2002 Control of the viscous sublayer for drag reduction. Phys. Fluids 14, 2523-2529.
42. LEE, W., VASELESKI, R. & METZNER, A. 1974 Turbulent drag reduction in polymeric solutions containing suspended fibres. AIChE J.. 20 128-133.
43. LI Y., MCLAUGHLIN, J., KONTOMARIS, K. & PORTELA, L. 200t Numerical simulation of particle laden turbulent channel flow. Phys. Fluids 13, 2957-2967.
44. LUMLEY, J. 1969 Drag reduction by additives. Annu. Rev. Fluid Mech. 1, 367-384.
45. McCOMB, W. & CHAN, K. 1985 Laser-Doppler anemometer measurements of turbulent structure in drag-reducing fibre suspensions. J. Fluid Mech. 152, 455-478.
46. MALHOTRA, J., DESHMUKH, S. & SINGH, R. 1987 Turbulent drag reduction by polymer-fibre mixtures. J. Appl. Polymer Sci. 33, 2467-2478.
47. MANHART, M. 2003 Rheology of suspensions of rigid-rod like particles in turbulent channel flow. J. Non-Newtonian Fluid Mech. 112, 269-293.
48. METZNER, A. 1977 Polymer solution and fibre suspension theology and their relationship to turbulent drag reduction. Phys. Fluids 10 S145-S149.
49. MIN, T., YOO, J. & CHOI, H. 2001 Effect of spatial discretization schemes on numerical studies of viscoelastic flows. J. Non-Newtonian Fluid Mech. 100, 27-47.
50. NAYAK, R. 1998 Molecular simulation of liquid crystal polymer flow: a wavelet-finite element analysis. PhD thesis, MIT.
51. PETRICH, M., KocH, D. & COHEN, C. 2000 An experimental determination of the stressmicrostructure relationship in semi-concentrated fibre suspensions. J. Non-Newtonian Fluid Mech. 95, 101-133.
52. PIRIH, R. & SWANSON, W. 1972 Drag reduction and turbulence modification in rigid particle suspensions. Can. J. Chem. Engng 50 221-227.
53. QI D. & Luo, L. 2002 Transitions in rotations of a nonspherical particle in a three-dimensional moderate Reynolds number Couette flow. Phys. Fluids 14, 4440-4443.
54. RADIN, I., ZAKIN, J. & PATTERSON, G. 1975 Drag reduction in solid-fluid systems. AIChE J. 21, 358-371.
55. RAHNAMA, M., KOCH, D. & SHAQFEH, E. 1995 The effect of hydrodynamic interactions on the orientation distribution in a fibre suspension subject to a simple shear flow. Phys. Fluids 7, 487-506.
56. REDDY, G. & SINGH, R. 1985 Drag reduction effectiveness and shear stability of polymer polymer and polymer fibre mixtures in recirculatory turbulent flow of water. Rheol. Acta. 24, 296-311.
57. ROBERTSON, A. & MASON, S. 1957 The flow characteristics of dilute fibre suspensions. TAPPI J. 40, 326-334.
58. SASAKI, S. 1991 Drag reduction effect of rod-like polymer solutions. i. Influences of polymer concentration and rigidity of skeletal back bone. J. Phys. Soc. Japan 60, 868-878.
59. SCHIEK, R. & SHAQFEH, E. 1995 A nonlocal theory for stress in bound, Brownian suspensions of slender rigid fibres.J. Fluid Mech. 296 271-324.
60. SEYER, F. & METZNER, A. 1969 Turbulence phenomena in drag reducing systems. AIChE J. 15, 426-434.
61. SHAQFEH, E. & FREDERICKSON, G. 1990 The hydrodynamic stress in a suspension of rods. Phys. Fluids A 2, 7-24.
62. SHAQFEH, E. & KOCH, D. 1990 Orientational dispersion of fibres in extensional flows. Phys. Fluids A 2, 1077-1093.
63. SREENIVASAN, K. & WHITE, C. 2000 The onset of drag reduction by dilute polymer additives and the maximum drag reduction asymptote. J. Fluid Mech. 409, 149-164.
64. SUEN, J., JOO, Y. & ARMSTRONG, R. 2002 Molecular orientation effects in viscoclasticity. Annu. Rew. Fluid Mech. 34, 417-444.
65. SURESHKUMAR, R., BERIS, A. & HANDLER, R. 1997 Direct numerical simulations of turbulent channel flow of a polymer solution. Phys. Fluids 9, 743-755.
66. SZERI, A. & LEAL, L. 1994 A new computational method for the solution of flow problems in microstructured fluids. Part 2. Inhomogeneous shear flow of a suspension. J. Fluid Mech. 262, 171-204.
67. TABOR, M. & DEGENNES, P. 1986 A cascade theory of drag reduction. Europhys. Lett. 2, 519-522.
68. TERRAPON, V., DUBIEF, Y., MOIN, P., SHAQFEH, E. & LELE, S. 2004 Simulated polymer stretch in a turbulent flow using Brownian dynamics. J. Fluid Mech. 504, 61-71.
69. DEN TOONDER, J., HULSEN, M., KUIKEN, G. & NIEUWSTADT, F. 1997 Drag reduction by polymer additives in a turbulent pipe flow: numerical and laboratory experiments.J. Fluid Mech. 337, 193-231.
70. VIRK, P., MICKLEY, H. & SMITH, K. 1970 The ultimate asymptote and mean flow structures in tom's phenomenon. Trans. ASME E: J. Appl. Mech. 37, 488-493.
71. ZHANG, H., AHMADI, G., FAN, F. & MCLAUGHLIN, J. 2001 Ellipsoidal particles transport and deposition in turbulent channel flows. Intl J. Multiphase Flow 27, 971-1009.