Direct numerical simulations of a freely falling sphere using fictitious domain method: Breaking of axisymmetric wake

Chemical Engineering Science

Volumn 65, Issue 6, 2010, Pages 2159-2171

  Reddy, Rupesh K ^a   Joshi, Jyeshtharaj B ^a   Nandakumar, K ^b   Minev, Peter D ^c  

^a INSTITUTE OF CHEMICAL TECHNOLOGY   (India)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Falling sphere; Instability of wake; Lateral migration; Particle rotation

Indexed keywords

AXISYMMETRIC WAKES; AXISYMMETRY; DOMAIN METHODS; DYNAMIC BEHAVIORS; EXPERIMENTAL OBSERVATION; FALLING SPHERE; FICTITIOUS DOMAIN METHOD; FLUID DENSITIES; IN-HOUSE CODES; LATERAL MIGRATION; LIFT COEFFICIENT; LIFT FORCE; NUMERICAL SIMULATION; PARTICLE ROTATION; PARTICLE ROTATIONS;

COMPUTER SIMULATION; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; ROTATION; STABILITY; WAKES;

SPHERES;

EID: 76549098482     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2009.12.009     Document Type: Article

References (32)

1. Achenbach E. Vortex shedding from spheres. Journal of Fluid Mechanics 62 (1974) 209-221
2. Bouchet G., Mebarek M., and Dusek J. Hydrodynamic forces acting on a rigid fixed sphere in early transitional regimes. European Journal of Mechanics B: Fluids 25 (2006) 321-336
3. Diaz-Goano C., Miniv P.D., and Nandakumar K. A fictitious domain/finite element method for particular flows. Journal of Computational Physics 192 (2003) 105-123
4. Ghidersa B., and Dusek J. Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere. Journal of Fluid Mechanics 423 (2000) 33-69
5. Glowinski R., Pan T.W., Hesla T., and Joseph D.D. A distributed Lagrange multiplier/-fictitious domain method for flows around moving rigid bodies: application to particulate flows. International Journal of Multiphase Flow 25 (1999) 755-794
6. Glowinski R., Pan T.W., Hesla T., Joseph D.D., and Periaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Journal of Computational Physics 169 (2001) 363-426
7. Jenny M., Bouchet G., and Dusek J. Non vertical ascension or fall of a free sphere in a Newtonian fluid. Physics of Fluids 15 (2003) L9-L12
8. Jenny M., and Dusek J. Efficient numerical method for the direct numerical simulation of the flow past a single light moving spherical body in transitional regimes. Journal of Computational Physics 194 (2004) 215-232
9. Johnson T.A., and Patel V.C. Flow past a sphere up to a Reynolds number of 300. Journal of Fluid Mechanics 378 (1999) 19-70
10. Kim I., and Pearlstein A.J. Stability of the flow past a sphere. Journal of Fluid Mechanics 211 (1990) 73-93
11. Magarvey R.H., and Bishop R.L. Transition ranges for three-dimensional wakes. Canadian Journal of Physics 39 (1961) 1418-1422
12. Magarvey R.H., and MacLatchy C.S. Vortices in sphere wakes. Canadian Journal of Physics 43 (1965) 1649-1656
13. Magnaudet J., Rivero M., and Fabre J. Flows past a rigid sphere or a spherical bubble: 1. steady straining flow. Journal of Fluid Mechanics 284 (1995) 97-135
14. Magnaudet J., and Mougin G. Wake instability of a fixed spheroidal bubble. Journal of Fluid Mechanics 572 (2007) 311-337
15. Masliyah J.H. Steady wakes behind oblate spheroids: flow visualization. Physics of Fluids 15 (1972) 6-8
16. Nakamura I. Steady wake behind a sphere. Physics of Fluids 19 (1976) 5-8
17. Natarajan R., and Acrivos A. The instability of the steady flow past spheres and disks. Journal of Fluid Mechanics 254 (1993) 323-344
18. Ormieres D., and Provansal M. Transition to turbulence in the wake of a sphere. Physical Review Letters 83 (1999) 80-83
19. Pan T.W., Joseph D.D., Bai R., Glowinski R., and Sarin V. Fluidization of 1204 spheres: simulation and experiment. Journal of Fluid Mechanics 451 (2002) 169-191
20. Pettyjohn E.S., and Christiansen E.B. Effect of particle shape on free settling rates of isometric particles. Chemical Engineering Progress 44 (1948) 157-172
21. Ploumhans P., Winckelmans G.S., Salmon J.K., Leonard A., and Warren M.S. Vortex methods for direct numerical simulation of three-dimensional bluff body flows: application to the sphere at Re=300, 500, and 1000. Journal of Computational Physics 178 (2002) 427-463
22. Roos F.W., and Willmarth W.W. Some experimental results on sphere and disk drag. AIAA Journal 9 2 (1971) 285-291
23. Sakamoto H., and Haniu H. A study on vortex shedding from spheres in a uniform flow. Transactions of the ASME: Journal of Fluids Engineering 112 (1990) 386-392
24. Schouveiler L., and Provansal M. Self-sustained oscillations in the wake of a sphere. Physics of Fluids 14 (2002) 3846-3854
25. Taneda S. Experimental investigation of the wake behind a sphere at low Reynolds numbers. Journal of the Physical Society of Japan 11 (1956) 1104-1108
26. ten Cate A., Nieuwstad C.H., Derksen J.J., and Van den Akker H.E.A. Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Physics of Fluids 14 11 (2002) 4012-4025
27. Tomboulides, A.G., 1993. Direct and large-eddy simulation of wake flows: flow past a sphere. Ph.D. Thesis, Princeton University.
28. Veeramani C., Minev P.D., and Nandakumar K. A fictitious domain formulation for flows with rigid particles: a non-Lagrange multiplier version. Journal of Computational Physics 224 (2007) 867-879
29. Veldhuis C., Biesheuvel A., Wijngaarden L., and Loshse D. Motion and wake structure of spherical particles. Nonlinearity 18 (2005) C1-C8
30. Winnikow S., and Chao B.T. Droplet motion in purified systems. Physics of Fluids 9 (1966) 50-61
31. Wu J.S., and Faeth G.M. Spheres wake in still surroundings at intermediate Reynolds numbers. AIAA Journal 31 8 (1993) 1447-1455
32. Yu Z., Phan-Thien N., and Tanner R.I. Dynamic simulation of sphere motion in vertical tube. Journal of Fluid Mechanics 518 (2004) 61-63