Citation: | Donald O. Besong. Derivation of a Segregation-Mixing Equation for Particles in a Fluid Medium[J]. Applied Mathematics and Mechanics, 2009, 30(6): 713-718. doi: 10.3879/j.issn.1000-0887.2009.06.010 |
[1] |
Smallwood R H, Tindale W B,Trowbridge E A.The physics of red cell sedimentation[J].Phys Med Biol,1985,30(2):125-137. doi: 10.1088/0031-9155/30/2/002
|
[2] |
Dolgunin V N, Ukolov A A.Segregation modeling of particle rapid gravity flow[J].Powder Technol,1995,83(2):95-103. doi: 10.1016/0032-5910(94)02954-M
|
[3] |
Batchelor G K.Sedimentation in a dilute dispersion of spheres[J].J Fluid Mech,1972,52(2):245-268. doi: 10.1017/S0022112072001399
|
[4] |
Batchelor G K.Sedimentation in a dilute polydisperse system of interacting spheres—part 1:general theory[J].J Fluid Mech,2006,119:379-408.
|
[5] |
Masliyah J H.Hindered settling in a multiple-species particle system[J].Chem Eng Sci,1979,34:1166-1168. doi: 10.1016/0009-2509(79)85026-5
|
[6] |
Kynch G J.A theory of sedimentation[J].Trans Faraday Soc,1952,48:166-176. doi: 10.1039/tf9524800166
|
[7] |
Shojaei A,Arefinia R.Analysis of the sedimentation process in reactive polymeric suspensions[J].Chem Eng Sci,2006,61(23):7565-7578. doi: 10.1016/j.ces.2006.08.050
|
[8] |
Garrido P, Bürger R, Concha F.Settling velocities of particulate systems—11:Comparison of the phenomenological sedimentation-consolidation model with published experimental results[J].Int J Miner Process,2000,60(3/4): 213-227. doi: 10.1016/S0301-7516(00)00014-4
|
[9] |
Bürger R, Damasceno J J R,Karlsen K H.A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section[J].Int J Miner Process,2004,73(2/4):183-208. doi: 10.1016/S0301-7516(03)00073-5
|
[10] |
Richardson J F,Zaki W N.Sedimentation and fluidization—part Ⅰ[J].Chem Eng Res Des,1954,32:35-53.
|
[11] |
Gray J,Chugunov V A.Particle-size segregation and diffusive remixing in shallow granular avalanches[J].J Fluid Mech,2006,569: 365-398. doi: 10.1017/S0022112006002977
|
[12] |
Savage S B,Lun C K K.Particle size segregation in inclined chute flow of dry cohesionless granular solids[J].J Fluid Mech,1988,189: 311-335. doi: 10.1017/S002211208800103X
|
[13] |
Carslaw H S,Jaeger J C.Conduction of Heat in Solids[M].Oxford:Clarenden Press,1959.
|
[14] |
Mazo R M.Brownian Motion: Fluctuations, Dynamics, and Applications[M].Oxford:Oxford University Press,2002.
|
[15] |
Nelson E.Dynamical Theories of Brownian Motion[M].Princeton, NJ:Princeton University Press,1967.
|
[16] |
Firoozabadi A.Thermodynamics of Hydrocarbon Reservoirs[M].McGraw-Hill,1999.
|
[17] |
Boyd C E.Water Quality: An Introduction[M].Kluwer Academic Pub,2000.
|
[18] |
Yoo K H,Boyd C E.Hydrology and Water Supply for Pond Aquaculture[M].New York,London:Springer,1994.
|
[19] |
Bürger R, García A, Karlsen K H,et al.A kinematic model of continuous separation and classification of polydisperse suspensions[J].Comput Chem Eng,2008,32(6):1173-1194. doi: 10.1016/j.compchemeng.2007.04.019
|