Analysis of unsteady forces in ordered arrays of monodisperse spheres

Journal of Fluid Mechanics

Volumn 552, Issue , 2006, Pages 257-287

  Ten Cate, Andreas ^a   Sundaresan, Sankaran ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DRAG; FRICTION; REYNOLDS NUMBER; SPHERES; UNSTEADY FLOW; VISCOSITY;

LATTICE-BOLTZMANN SCHEME; MONODISPERSE SPHERES; UNSTEADY DRAG COEFFICIENT;

NEWTONIAN FLOW;

COMPUTER SIMULATION; DRAG; FRICTION; NEWTONIAN FLOW; REYNOLDS NUMBER; SPHERES; UNSTEADY FLOW; VISCOSITY;

FLUID MECHANICS;

EID: 33645330137     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006008652     Document Type: Article

References (37)

1. Artoli, A., Hoekstra, A. G. & Sloot, P. 2002 3d pulsatile flow with the lattice Boltzmann BGK method. Intl J. Mod. Phys. C 13, 1119-1134.
2. Bagchi, P. & Balachandar, S. 2003 Inertial and viscous forces on a rigid sphere in straining flows at moderate Reynolds numbers. J. Fluid Mech. 481, 105-148.
3. Basset, A. B. 1888 A Treatise in Hydrodynamics. Deighton, Bell, and Co.
4. Biesheuvel, A. & Spoelstra, S. 1989 The added mass coefficient of a dispersion of spherical gas bubbles in liquid. Intl J. Multiphase Flow 15, 911-924.
5. Chang, E. J. & Maxey, M. R. 1994 Unsteady flow about a sphere at low to moderate Reynolds number. Part 1. Oscillatory motion. J. Fluid Mech. 277, 347-379.
6. Chang, E. J. & Maxey, M. R. 1995 Unsteady flow about a sphere at low to moderate Reynolds number. Part 2. Accelerated motion. J. Fluid Mech. 303, 133-153.
7. Chen, S. & Doolen, G. D. 1998 Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30, 329-364.
8. Chopard, B. & Droz, M. 1998 Cellular Automata Modeling of Physical Systems, 1st Edn. Cambridge University Press.
9. Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic.
10. Crowe, C., Sommerfeld, M. & Tsuji, Y. 1997 Multiphase Flows with Droplets and Particles, 1st Edn. CRC Press.
11. Felderhof, B. U. 1991 Virtual mass and drag in two-phase flow. J. Fluid Mech. 225, 177-196.
12. Hasimoto, H. 1959 On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 5, 317-328.
13. Hill, R. J., Koch, D. L. & Ladd, A. J. C. 2001a The first effects of fluid inertia on flows in ordered and random arrays of spheres. J. Fluid Mech. 448, 213-241.
14. Hill, R. J., Koch, D. L. & Ladd, A. J. C. 2001b Moderate-Reynolds-number flows in ordered and random arrays of spheres. J. Fluid Mech. 448, 243-278.
15. Jackson, R. 2000 The Dynamics of Fluidized Particles, 1st Edn. Cambridge University Press.
16. Kandhai, D., Derksen, J. J. & Van den Akker, H. E. A. 2003 Interphase drag coefficients in gas-solid flows. AIChE J. 49, 1060-1065.
17. Kim, I., Elghobashi, S. & Sirignano, W. A. 1998 On the equation for spherical-particle motion: Effect of Reynolds and acceleration numbers. J. Fluid Mech. 367, 221-253.
18. Ladd, A. J. C. 1994 Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J. Fluid Mech. 271, 285-309.
19. Landau, L. D. & Lifshitz, E. M. 1978 Fluid Mechanics, 1st Edn. Pergamon.
20. Li, J. & Kuipers, J. A. M. 2003 Gas-particle interactions in dense gas-fluidized beds. Chem. Engng Sci. 58, 711-718.
21. Lovalenti, P. M. & Brady, J. F. 1993a The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motin at small reynolds number. J. Fluid Mech. 256, 561-605.
22. Lovalenti, P.M. & Brady, J. F. 1993b The force on a sphere in a uniform flow with small-amplitude oscillations at finite Reynolds number. J. Fluid Mech. 256, 607-614.
23. Mei, R. 1994 Flow due to an oscillating sphere and an expression for unsteady drag on the sphere at finite Reynolds number. J. Fluid Mech. 270, 133-174.
24. Mei, R. & Adrian, R. J. 1992 Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number. J. Fluid Mech. 237, 323-341.
25. Mei, R., Lawrence, C. J. & Adrian, R. J. 1991 Unsteady drag on a sphere at finite Reynolds number with small fluctuations in the free-stream velocity. J. Fluid Mech. 233, 613-631.
26. Odar, F. & Hamilton, W. S. 1964 Forces on a sphere accelerating in a viscous fluid. J. Fluid Mech. 18, 302-314.
27. Odar, F. & Hamilton, W. S. 1966 Verification of the proposed equation for calculation of the forces on a sphere accelerating in a viscous fluid. J. Fluid Mech. 25, 591-592.
28. Pozrikidis, C. 1997 Introduction to Theoretical and Computational Fluid Dynamics, 1st Edn. Oxford University Press.
29. Qian, Y., d'Humieres, D. & Lallemand, P. 1992 Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17, 479-484.
30. Rivero, M., Magnaudet, J. & Fabre, J. 1991 Quelques résultats nouveaux concernant les forces exercées sur une inclusion sphérique par un écoulement accéléré. C.R. Acad. Sci. Paris II 312, 1499-1506.
31. Rothman, D. H. & Zaleski, S. 1997 Lattice-Gas Cellular Automata, 1st Edn. Cambridge University Press.
32. Sangani, A. S. & Acrivos, A. 1982 Slow flow through a periodic array of spheres. Intl J. Multiphase Flow 8, 343-360.
33. Sangani, A. S., Zhang, D. Z. & Prosperetti, A. 1991 The added mass, basset- and viscous drag coefficients in nondilute bubbly liquids undergoing small-amplitude oscillatory motion. Phys. Fluids A 3, 2955-2970.
34. Schöneborn, P.-R. 1975 The interaction between a single particle and an oscillating fluid. Intl J. Multiphase Flow 2, 307-317.
35. Stephanopoulos, G. 1984 Chemical Process Control: An Introduction to Theory and Practice, 1st Edn. Prentice-Hall.
36. Succi, S. 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, 1st Edn. Oxford University Press.
37. Zuber, N. 1964 On the dispersed two-phase flow in the laminar flow regime. Chem. Engng Sci. 19, 897-917.