Transition to turbulence in the wake of a fixed sphere in mixed convection

Journal of Fluid Mechanics

Volumn 625, Issue , 2009, Pages 205-248

  Kotouč, Miroslav ^a   Bouchet, Gilles ^a   Dušek, Jan ^a  

^a UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MIXED CONVECTION; PRANDTL NUMBER; REYNOLDS NUMBER; SPHERES; TURBULENCE; VORTEX FLOW; WAKES;

AXISYMMETRIC FLOW; AZIMUTHAL WAVENUMBERS; NONLINEAR INTERACTIONS; PRIMARY INSTABILITY; RICHARDSON NUMBER; TRANSITION SCENARIOS; TRANSITION TO CHAOS; TRANSITION TO TURBULENCE;

HOPF BIFURCATION;

BIFURCATION; BUOYANCY; REYNOLDS NUMBER; RICHARDSON NUMBER; TEMPERATURE EFFECT; TURBULENCE; VORTEX SHEDDING;

EID: 66849096391     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008005557     Document Type: Article

References (43)

1. AYYASWAMY, P. S. 1999 Combustion Dynamics of Moving Droplets vol. 1. Gulf Publishing.
2. BAR-ZIV, E., ZHAO, B., MOGRABI, E., KATOSHEVSKI, D. & ZISKIND, G. 2002 Experimental validation of the Stokes law at nonisothermal conditions. Phys. Fluids 14, 2015-2018.
3. BHATTACHARYYA, S. & SINGH, A. 2008 Mixed convection from an isolated spherical particle. Intl J. Heat Mass Transfer 51, 1034-1048.
4. BOUCHET, G., MEBAREK, M. & DUŠEK, J. 2006 Hydrodynamic forces acting on a rigid fixed sphere in early transitional regimes. Euro. J. Mech. 25, 321-336.
5. CHEN, T. S. & MUCOGLU, A. 1977 Analysis of mixed forced and free convection about a sphere. Intl J. Heat Mass Transfer 20, 867-875.
6. CHIANG, C. H. & SIRIGNANO, W. A. 1993 Interacting, convecting, vaporizing fuel droplets with variable properties. Intl J. Heat Mass Transfer 36, 875-886.
7. CLIFT, R., GRACE, J. R. & WEBER, M. E. 1978 Bubbles, Drops and Particles. Academic.
8. DANAILA, I., DUŠEK, J. & ANSELMET, F. 1998 Nonlinear dynamics at a Hopf bifurcation with axisymmetry breaking in a jet. Phys. Rev. E 57, 3695-3698.
9. DUDEK, D. R., FLETCHER, T. H., LONGWELL, J. P. & SAROFIM, A. F. 1988 Natural convection induced drag forces on spheres at low Grashof numbers: Comparison of theory with experiment. IntL J. Heat Mass Transfer 31, 863-873.
10. GAN, H., CHANG, J., FENG, J. J. & HU, H. H. 2003 Direct numerical simulation of the sedimentation of solid particles with thermal convection. J. Fluid Mech. 481, 385-411.
11. GEOOLA, F. & CORNISH, A. R. H. 1982 Numerical simulation of free convective heat transfer from a sphere. IntL J. Heat Mass Transfer 25, 1677-1687.
12. GHIDERSA, B. & DUŠEK, J. 2000 Breaking of axisymetry and onset of unsteadiness in the wake of a sphere. J. Fluid Mech. 423, 33-69.
13. HIEBER, C. A. & GEBHART, B. 1969 Mixed convection from a sphere at small Reynolds and Grashof numbers. J. Fluid Mech. 38, 137-159.
14. JENNY, M. & DUŠEK, J. 2004 Efficient numerical method for the direct numerical simulation of the flow past a single light moving spherical body in transitional regimes. J. Comput. Phys. 194 215-232.
15. JENNY, M., DUŠEK, J. & BOUCHET, G. 2004 Instabilities and transition of a sphere falling or ascending freely in a Newtonian fluid. J. Fluid Mech. 508, 201-239.
16. JEONG, J. & HUSSAIN, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69-94.
17. JIA, H. & GOGOS, G. 1996 Laminar natural convection heat transfer from isothermal spheres. Intl J. Heat Mass Transfer 39, 1603-1615.
18. JOHNSON, T. A. & PATEL, V. C. 1999 Flow past a sphere up to a Reynolds number of 300. J. Fluid Mech. 378, 19-70.
19. KATOSHEVSKI, D., ZHAO, B., ZISKIND, G. & BAR-ZIV, E. 2001 Experimental study of the drag force acting on a heated particle. J. Aerosol Sci. 32, 73-86.
20. KLYACHKO, L. S. 1963 Heat transfer between a gas and a spherical surface with the combined action of free and forced convection. J. Heat Transfer 85, 355-357.
21. KOTOUČ, M. 2008 Transition à la turbulence du sillage d'une sphre fiwe on libre en convection mixte. PhD thesis, Université Louis Pasteur, Strasbourg I.
22. KOTOUČ, M., BOUCHET, G. & DUSŠEK, J. 2008 Loss of axisymmetry in flow past a heated sphere - assisting flow. Intl J. Heat Mass Transfer 51, 2686-2700.
23. LECORDIER, J. C., HAMMA, L. & PARANTHOEN, P. 1991 The control of vortex shedding behind heated circular cylinders at low Reynolds numbers. Exp. Fluids 10, 224-229.
24. MCLEOD, P., RILEY, D. S. & SPARKS, R. S. J. 1996 Melting of a sphere in hot fluid. J. Fluid Mech. 327, 393-409.
25. MICHALKE, A. 1984 Survey on jet instability theory. Prog. Aerospace Sci. 21, 159-199.
26. MITTAL, R. 1999 A Fourier--Chebyshev spectral collocation method for simulating flow past spheres and spheroids. Intl J. Numer. Meth. Fluids 30, 921-937.
27. MOGRABI, E. & BAR-ZIV, E. 2005a Dynamics of a spherical particle in mixed convection flow field. J. Aerosol Sci. 36, 387-409.
28. MOGRABI, E. & BAR-ZIV, E. 2005b On the mixed convection hydrodynamic force on a sphere. J. Aerosol Sci. 36, 1177-1181.
29. MOGRABI, E., ZISKIND, G., KATOSHEVSKI, D. & BAR-ZIV, E. 2002 Experimental study of the forces associated with mixed convection from a heated sphere at small Reynolds and Grashof numbers. Part II. Assisting and opposing flows. Intl J. Heat Mass Transfer 45, 2423-2430.
30. MUCOGLU, A. & CHEN, T. S. 1978 Mixed convection about a sphere with uniform surface heat flux. J. Heat Transfer 100, 542-544.
31. NAJJAR, F. M. & BAIACHANDAR, S. 1996 Low-frequency unsteadiness in the wake of a normal flat plate. J. Fluid Mech. 370, 101-147.
32. NATARAJAN, R. & ACRIVOS, A. 1993 The instability of the steady flow past spheres and disks. J. Fluid Mech. 254, 323-344.
33. NGUYEN, H. D., PAIK, S. & CHUNG, J. N. 1993 Unsteady mixed convection heat transfer from a solid sphere: The conjugate problem. Intl J. Heat Mass Transfer 36, 4443-4453.
34. ORMIÈRES, D. & PROVANSAL, M. 1999 Transition to turbulence in the wake of a sphere. Phys. Rev. Lett. 83, 80-83.
35. PATERA, A. 1984 A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys. 54 (3), 468-488.
36. STROGATZ, S. H. 1994 Nonlinear Dynamics and Chaos. Addison-Wesley.
37. TANG, L. & JOHNSON, A. T. 1990 Flow visualization of mixed convection about a sphere. Intl Comm. Heat Mass Transfer 17, 67-77.
38. THOMPSON, M., HOURIGAN, K. & SHERIDAN, J. 1996 Three-dimensional instabilities in the wake of a circular cylinder. Exp. Therm. Fluid Sci. 12, 190-196.
39. WANG, A.-B., TRÁVNÍČEK, Z. & CHIA, K.-C. 2000 On the relationship of effective Reynolds number and Strouhal number for the laminar vortex shedding of a heated circular cylinder. Phys. Fluids 12, 1401-1410.
40. WONG, K. L., LEE, S. C. & CHEN, C. K. 1986 Finite-element solution of laminar combined convection from a sphere. J. Heat Transfer 108, 860-865.
41. WU, M.-H. & WANG, A.-B. 2007 On the transitional wake behind a heated circular cylinder. Phys. Fluids 19, 084102-1-9.
42. WU, S. J., MIAU, J. J., HU, C. C. & CHOU, J. H. 2005 On low-frequency modulations and three- dimensionality in vortex shedding behind an normal plate. J. Fluid Mech. 526, 117-146.
43. YUGE, T. 1960 Experiments on heat transfer from spheres including combined natural and forced convection. J. Heat Transfer 82, 214-220.