Turbulence characteristics of the Bödewadt layer in a large enclosed rotor-stator system

Physics of Fluids

Volumn 18, Issue 5, 2006, Pages

  Randriamampianina, Anthony ^a   Poncet, Sébastien ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; KINEMATICS; REYNOLDS NUMBER; ROTATING DISKS; ROTORS; STATORS; VISCOSITY; VORTEX FLOW;

ENCLOSED ANNULAR ROTOR-STATOR CAVITY; QUADRANT ANALYSIS;

TURBULENT FLOW;

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; KINEMATICS; REYNOLDS NUMBER; ROTATING DISKS; ROTORS; STATORS; TURBULENT FLOW; VISCOSITY; VORTEX FLOW;

EID: 33744814920     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2204049     Document Type: Article

References (51)

1. G. K. Batchelor, "Note on a class of solutions of the Navier-Stokes equations representing steady rotationally symmetric flow," Q. J. Mech. Appl. Math.QJMMAV0033-5614 4, 29 (1951).
2. K. Stewartson, "On the flow between two rotating coaxial disks," Proc. Cambridge Philos. Soc.PCPSA40068-6735 49, 333 (1953).
3. G. L. Mellor, P. J. Chapple, and V. K. Stokes, "On the flow between a rotating and a stationary disk," J. Fluid Mech.JFLSA70022-1120 31, 95 (1968).
4. J. W. Daily and R. E. Nece, "Chamber dimension effects on induced flow and frictional resistance of enclosed rotating disks," ASME J. Basic Eng.JBAEAI0021-9223 82, 217 (1960).
5. J. M. Owen and R. H. Rogers, Flow and Heat Transfer in Rotating-Disc Systems, edited by W. D. Morris (Wiley, New York, 1989), Vol. 1.
6. M. Itoh, Y. Yamada, S. Imao, and M. Gonda, "Experiments on turbulent flow due to an enclosed rotating disk," Exp. Therm. Fluid Sci.ETFSEO0894-177710.1016/0894-1777(92)90081-F 5, 359 (1992).
7. S. C. Cheah, H. Iacovides, D. C. Jackson, H. Ji, and B. E. Launder, "Experimental investigation of enclosed rotor-stator disk flows," Exp. Therm. Fluid Sci.ETFSEO0894-177710.1016/ 0894-1777(94)90022-1 9, 445 (1994).
8. S. P. Wilkinson and M. R. Malik, "Stability experiments in the flow over a rotating disk," AIAA J.AIAJAH0001-1452 23, 588 (1985).
9. R. Kobayashi, "Review: Laminar-turbulent transition of three-dimensional boundary layers on rotating bodies," J. Fluids Eng.JFEGA40098-2202 116, 200 (1994).
10. G. Gauthier, P. Gondret, and M. Rabaud, "Axisymmetric propagating vortices in the flow between a stationary and a rotating disk enclosed by a cylinder," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112099004346 386, 105 (1999).
11. L. Schouveiler, P. Le Gal, and M.-P. Chauve, "Instabilities of the flow between a rotating and a stationary disk," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001005328 443, 329 (2001).
12. M. Itoh, Y. Yamada, S. Imao, and M. Gonda, "Experiments on turbulent flow due to an enclosed rotating disk," in Engineering Turbulence Modeling and Experiments, edited by W. Rodi and E. N. Ganic (Elsevier, New York, 1990), pp. 659-668.
13. S. Poncet, M. P. Chauve, and P. Le Gal, "Turbulent rotating disk with inward throughflow," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112004002046 522, 253 (2005).
14. S. Poncet, M. P. Chauve, and R. Schiestel, "Batchelor versus Stewartson flow structures in a rotor-stator cavity with throughflow," Phys. FluidsPHFLE61070-663110.1063/1.1964791 17, 075110 (2005).
15. L. Elena and R. Schiestel, "Turbulence modeling of rotating confined flows," Int. J. Heat Fluid FlowIJHFD20142-727X10.1016/ 0142-727X(96)00032-X 17, 283 (1996).
16. E. Serre, E. Crespo del Arco, and P. Bontoux, "Annular and spiral patterns in flows between rotating and stationary discs," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001003494 434, 65 (2001).
17. R. Jacques, P. Le Quéré, and O. Daube, "Axisymmetric numerical simulations of turbulent flow in a rotor stator enclosures," Int. J. Heat Fluid FlowIJHFD20142-727X10.1016/ S0142-727X(02)00137-6 23, 381 (2002).
18. E. Serre, E. Tuliszka-Sznitko, and P. Bontoux, "Coupled numerical and theoretical study of the flow transition between a rotating and a stationary disk," Phys. FluidsPHFLE61070-663110.1063/1.1644144 16, 688 (2004).
19. M. Lygren and H. I. Andersson, "Turbulent flow between a rotating and a stationary disk," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112000002287 426, 297 (2001).
20. M. Lygren and H. I. Andersson, "Large eddy simulations of the turbulent flow between a rotating and a stationary disk," ZAMPZAMPDB0044-2275 55, 268 (2004).
21. S. Poncet, "Écoulements de type rotor-stator soumis à un flux axial: De Batchelor à Stewartson," Ph.D. thesis, Université Aix-Marseille I (2005).
22. J. P. Johnston and K. A. Flack, "Review-advances in three-dimensional turbulent boundary layers with emphasis on the wall-layer regions," J. Fluids Eng.JFEGA40098-2202 118, 219 (1996).
23. W. S. Saric, H. L. Reed, and E. B. White, "Stability and transition of three-dimensional boundary layers," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.35.101101.161045 35, 413 (2003).
24. S. K. Robinson, "Coherent motions in the turbulent boundary layer," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.23.1.601 23, 601 (1991).
25. D. Webster, D. Degraaff, and J. K. Eaton, "Turbulence characteristics of a boundary layer over a swept bump," J. Fluid Mech.JFLSA70022-1120 323, 1 (1996).
26. E. R. Corino and R. S. Brodkey, "A visual investigation of the wall region in turbulent flow," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112069000395 37, 1 (1969).
27. H. T. Kim, S. J. Kline, and W. C. Reynolds, "The production of turbulence near a smooth wall in a turbulent boundary layer," J. Fluid Mech.JFLSA70022-112010.1017/S0022112071002490 50, 133 (1971).
28. J. K. Eaton, "Effects of mean flow three-dimensionality on turbulent boundary-layer structure," AIAA J.AIAJAH0001-1452 33, 2020 (1995).
29. T. Shizawa and J. K. Eaton, "Turbulence measurements for a longitudinal vortex interacting with a three-dimensional turbulent boundary layer," AIAA J.AIAJAH0001-1452 30, 49 (1992).
30. H. S. Littell and J. K. Eaton, "Turbulence characteristics of the boundary layer on a rotating disk," J. Fluid Mech.JFLSA70022-112010.1017/S0022112094000972 266, 175 (1994).
31. H. S. Kang, H. Choi, and J. Y. Yoo, "On the modification of the near-wall coherent structure in a three-dimensional turbulent boundary layer on a free rotating disk," Phys. FluidsPHFLE61070-663110.1063/ 1.869750 10, 2315 (1998).
32. X. Wu and K. D. Squires, "Prediction and investigation of the turbulent flow over a rotating disk," J. Fluid Mech.JFLSA70022-112010.1017/S0022112000001117 418, 231 (2000).
33. C. Chiang and J. K. Eaton, "An experimental study of the effects of three-dimensionality on the near wall turbulence structures using flow visualization," Exp. FluidsEXFLDU0723-486410.1007/BF00192671 20, 266 (1996).
34. K. A. Flack, "Near-wall structure of three-dimensional turbulent boundary layers," Exp. FluidsEXFLDU0723-486410.1007/s003480050119 23, 335 (1997).
35. A. T. Le, G. N. Coleman, and J. Kim, "Near-wall turbulence structures in three-dimensional boundary layers," Int. J. Heat Fluid FlowIJHFD20142-727X 21, 480 (2000).
36. C. J. Bates and T. D. Hughes, "Real-time statistical LDV system for the study of a high Reynolds number, low turbulence intensity flow," J. Phys. EJPSIAE0022-3735 9, 955 (1976).
37. T. A. Zang, "Spectral methods for simulations of transition and turbulence," Comput. Methods Appl. Mech. Eng.CMMECC0045-7825 80, 209 (1990).
38. S. J. Tavener, T. Mullin, and K. A. Cliffe, "Novel bifurcation phenomena in a rotating annulus," J. Fluid Mech.JFLSA70022-112010.1017/S0022112091003129 229, 483 (1991).
39. A. Randriamampianina, L. Elena, J. P. Fontaine, and R. Schiestel, "Numerical prediction of laminar, transitional and turbulent flows in shrouded rotor-stator systems," Phys. FluidsPHFLE61070-663110.1063/1.869274 9, 1696 (1997).
40. A. Randriamampianina, R. Schiestel, and M. Wilson, "Spatio-temporal behaviour in an enclosed corotating disk pair," J. Fluid Mech.JFLSA70022-1120 434, 39 (2001).
41. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer Verlag, Berlin, 1987).
42. J. M. Vanel, R. Peyret, and P. Bontoux, "A pseudospectral solution of vorticity-stream function equations using the influence matrix technique," in Numerical Methods in Fluid Dynamics II, edited by K. W. Morton and M. J. Baines (Clarendon, Oxford, 1986), pp. 463-475.
43. S. Hugues, "Développement d'un algorithme de projection pour méthodes pseudospectrales, application à la simulation d'instabilités tridimensionnelles dans les cavités tournantes. Modélisation d'écoulements turbulents dans les systèmes rotor-stator," Ph.D. thesis, Université Aix-Marseille II (1998).
44. I. Raspo, S. Hugues, E. Serre, A. Randriamampianina, and P. Bontoux, "A spectral projection method for the simulation of complex three-dimensional rotating flows," Comput. FluidsCPFLBI0045-793010.1016/S0045-7930(01)00070-6 31, 745 (2002).
45. S. Hugues and A. Randriamampianina, "An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations," Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/ (SICI)1097-0363(19980915)28:3<501::AID-FLD730>3.0.CO;2-S 28, 501 (1998).
46. P. Haldenwang, G. Labrosse, S. Abboudi, and M. Deville, "Chebyshev 3D spectral and 2D pseudospectral solvers for the Helmholtz equation," J. Comput. Phys.JCTPAH0021-999110.1016/ 0021-9991(84)90018-4 55, 115 (1984).
47. T. Von Kármán, "Uber laminare und turbulente Reibung," Z. Angew. Math. Mech.ZAMMAX0044-2267 1, 233 (1921).
48. S. Poncet and A. Randriamampianina, "Écoulement turbulent dans une cavité rotor-stator fermée de grand rapport d'aspect," C. R. Mec.CRMOC91631-0721 333, 783 (2005).
49. G. N. Coleman, J. Kim, and P. R. Spalart, "A numerical study of strained three-dimensional wall-bounded turbulence," J. Fluid Mech.JFLSA70022-1120 416, 75 (2000).
50. W. W. Willmarth and S. S. Lu, "Structure of the Reynolds stress near the wall," J. Fluid Mech.JFLSA70022-112010.1017/ S002211207200165X 55, 65 (1972).
51. J. M. Wallace, H. Eckelmann, and R. S. Brodkey, "The wall region in turbulent shear flow," J. Fluid Mech.JFLSA70022-1120 54, 39 (1972).