1. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; 2. School of Computer Engineering and Science, Shanghai University, Shanghai 200072, China
The study of cylindrical particulate internal flows has wide industrial applicability hence received much attention. This article reviews the cylindrical particulate internal flows over the past twenty years. The research is related to the cylindrical particulate flows in the straight channel, curved channel and rotational channel. Finally, several open research issues have been identified.
Altan M C, Guceri S I, Pipes R B. Anisotropic channel flow of fiber suspensions. Journal of Non-Newtonian Fluid Mechanics , 1992, 42(1,2): 65–83 doi: 10.1016/0377-0257(92)80005-I
2
Oosthuizen P H, Chen S, Kuhn D C S. Fluid and fiber flow near a wall slot in a channel. Pulp & Paper-Canada , 1994, 95(5): 27–30
3
Tang L, Altan M C. Entry flow of fiber suspensions in a straight channel. Journal of Non-Newtonian Fluid Mechanics , 1995, 56(2): 183–216 doi: 10.1016/0377-0257(94)01280-U
4
Develter P G, Duffy G G. Flow of wood pulp fiber suspensions in open channels. Appita Journal , 1998, 51(5): 356–362
5
Chiba K, Yasuda K, Nakamura K. Numerical solution of fiber suspension flow through a parallel plate channel by coupling flow field with fiber orientation distribution. Journal of Non-Newtonian Fluid Mechanics , 2001, 99(2,3): 145–157 doi: 10.1016/S0377-0257(01)00118-5
6
Lin J Z, Li J, Zhang W F. Orientation distribution of fibers in a channel flow of fiber suspension. Chinese Physics , 2005, 14(12): 2529–2538 doi: 10.1088/1009-1963/14/12/026
7
Park J, Butler J E. Inhomogeneous distribution of a rigid fiber undergoing rectilinear flow between parallel walls at high Peclet numbers. Journal of Fluid Mechanics , 2009, 630: 267–298 doi: 10.1017/S0022112009006545
8
Krochak P J, Olson J A, Martinez D M. Near-wall estimates of the concentration and orientation distribution of a semi-dilute rigid fiber suspension in Poiseuille flow. Journal of Fluid Mechanics , 2010, 653: 431–462 doi: 10.1017/S0022112010000406
9
Manhart M. Rheology of suspensions of rigid-rod like particles in turbulent channel flow. Journal of Non-Newtonian Fluid Mechanics , 2003, 112(2,3): 269–293 doi: 10.1016/S0377-0257(03)00105-8
10
Xu H J, Aidun C K. Characteristics of fiber suspension flow in a rectangular channel. International Journal of Multiphase Flow , 2005, 31(3): 318–336 doi: 10.1016/j.ijmultiphaseflow.2004.12.003
11
Lin J Z, Gao Z Y, Zhou K, Chan T L. Mathematical modeling of turbulent fiber suspension and successive iteration solution in the channel flow. Applied Mathematical Modelling , 2006, 30(9): 1010–1020 doi: 10.1016/j.apm.2005.08.005
12
Zhang H F, Ahmadi G, Asgharian B. Transport and deposition of angular fibers in turbulent channel flows. Aerosol Science and Technology , 2007, 41(5): 529–548 doi: 10.1080/02786820701272004
13
Gillissen J J J, Boersma B J, Mortensen P H, Andersson H I. The stress generated by non-Brownian fibers in turbulent channel flow simulations. Physics of Fluids , 2007, 19(11): 115107 doi: 10.1063/1.2800041
14
Lin J Z, Shen S H. A theoretical model of turbulent fiber suspension and its application to the channel flow. Science China—Physics Mechanics & Astronomy , 2010, 53(9): 1659–1670 doi: 10.1007/s11433-010-4058-2
15
Sykes P, Rallison J M. Lubrication theory for a fiber suspension: Part 1, pressure-driven flow in a planar channel having slowly-varying cross-section. Journal of Non-Newtonian Fluid Mechanics , 1997, 71(1,2): 109–136 doi: 10.1016/S0377-0257(97)00014-1
16
Lin J Z, Zhang L X, Wang Y L. Research on the distribution function and orientation tensors of fiber suspensions in wedge-shaped flow field. Journal of Hydrodynamics. Ser. B, 2002, 14(1): 38–44
17
Krochak P J, Olson J A, Martinez D M. The orientation of semi-dilute rigid fiber suspensions in a linearly contracting channel. Physics of Fluids , 2008, 20(7): 073303 doi: 10.1063/1.2949277
18
Krochak P J, Olson J A, Martinez D M. Fiber suspension flow in a tapered channel: The effect of flow/fiber coupling. International Journal of Multiphase Flow , 2009, 35(7): 676–688 doi: 10.1016/j.ijmultiphaseflow.2009.03.005
19
Olson J A, Frigaard I, Chan C, H?m?l?inen J P. Modeling a turbulent fibre suspension flowing in a planar contraction: The one-dimensional headbox. International Journal of Multiphase Flow , 2004, 30(1): 51–66 doi: 10.1016/j.ijmultiphaseflow.2003.10.006
20
Parsheh M, Brown M L, Aidun C K. On the orientation of stiff fibres suspended in turbulent flow in a planar contraction. Journal of Fluid Mechanics , 2005, 545(1): 245–269 doi: 10.1017/S0022112005006968
21
Parsheh M, Brown M L, Aidun C K. Investigation of closure approximations for fiber orientation distribution in contracting turbulent flow. Journal of Non-Newtonian Fluid Mechanics , 2006, 136(1): 38–49 doi: 10.1016/j.jnnfm.2006.03.001
22
Parsheh M, Brown M L, Aidun C K. Variation of fiber orientation in turbulent flow inside a planar contraction with different shapes. International Journal of Multiphase Flow , 2006, 32(12): 1354– 1369 doi: 10.1016/j.ijmultiphaseflow.2006.07.002
23
Lin J Z, Zhang S L, Olson J A. Effect of fibers on the flow property of turbulent fiber suspensions in a contraction. Fibers and Polymers , 2007, 8(1): 60–65 doi: 10.1007/BF02908160
24
Hyensjo M, Dahlkild A. Study of the rotational diffusivity coefficient of fibers in planar contracting flows with varying turbulence levels. International Journal of Multiphase Flow , 2008, 34(9): 894–903 doi: 10.1016/j.ijmultiphaseflow.2008.02.005
25
Townsend P, Walters K. Expansion flows of non-newtonian liquids. Chemical Engineering Science , 1994, 49(5): 748–763 doi: 10.1016/0009-2509(94)85020-8
26
Baloch A, Webster M F. A Computer-simulation of complex flows of fiber suspensions. Computers & Fluids , 1995, 24(2): 135–151 doi: 10.1016/0045-7930(94)00023-R
27
Verweyst B E, Tucker C L III. Fiber suspensions in complex geometries: Flow/orientation coupling. Canadian Journal of Chemical Engineering , 2002, 80(6): 1093–1106 doi: 10.1002/cjce.5450800611
28
Lu Z M, Khoo B C, Dou H S, Phan-Thien N, Seng Yeo K. Numerical simulation of fiber suspension flow through an axisymmetric contraction and expansion passages by Brownian configuration field method. Chemical Engineering Science , 2006, 61(15): 4998–5009 doi: 10.1016/j.ces.2006.03.051
29
Ku X K, Lin J Z. Fiber orientation distributions in slit channel flows with abrupt expansion for fiber suspensions. Journal of Hydrodynamics , 2008, 20(6): 696–705 doi: 10.1016/S1001-6058(09)60004-4
30
Nsom B. Stability of fiber suspension flow in curved channel. Journal de Physique. II , 1996, 6(10): 1483–1492 doi: 10.1051/jp2:1996143
31
Chinesta F, Chaidron G. Short fibers suspension in steady recirculating flows. Canadian Journal of Chemical Engineering , 2002, 80(3): 355–362 doi: 10.1002/cjce.5450800303
32
Chinesta F, Chaidron G, Poitou A. On the solution of Fokker-Planck equations in steady recirculating flows involving short fiber suspensions. Journal of Non-Newtonian Fluid Mechanics , 2003, 113(2,3): 97–125 doi: 10.1016/S0377-0257(03)00100-9
33
Chiba K, Ammar A, Chinesta F. On the fiber orientation in steady recirculating flows involving short fibers suspensions. Rheologica Acta , 2005, 44(4): 406–417 doi: 10.1007/s00397-004-0422-3
34
Wan Z H, Lin J Z, You Z J. The effects of closure model of fiber orientation tensor on the instability of fiber suspensions in the Taylor-Couette flow. Modern Physics Letters B , 2007, 21(24): 1611–1625 doi: 10.1142/S0217984907014000
35
Zhang Q H, Lin J Z, Wang C X. Orientation distribution of fibers immersed in a curved expansion duct. International Journal of Nonlinear Sciences and Numerical Simulation , 2009, 10(11,12): 1585–1594 doi: 10.1515/IJNSNS.2009.10.11-12.1585
36
Lin J Z, Zhang Q H, Zhang K. Rheological properties of fiber suspensions flowing through a curved expansion duct. Polymer Engineering and Science , 2010, 50(10): 1994–2003 doi: 10.1002/pen.21725
37
Bennington C P J, Kerekes R J, Grace J R. Motion of pulp fiber suspensions in rotary devices. Canadian Journal of Chemical Engineering , 1991, 69(1): 251–258 doi: 10.1002/cjce.5450690130
38
Wang J, Silva C A, Viana J C, van Hattum F W J, Cunha A M, Tucker C L. Prediction of fiber orientation in a rotating compressing and expanding mold. Polymer Engineering and Science , 2008, 48(7): 1405–1413 doi: 10.1002/pen.20979
39
Zhang Q H, Li Y X, Lin J Z. Numerical simulation of cylinder orientation through a rotating straight expansion duct. Journal of Drainage and Irrigation Machinery Engineering , 2010, 5: 422–427
40
Zhang Q H, Lin J Z. Orientation distribution and rheological properties of fiber suspensions flowing through curved expansion and rotating ducts. Journal of Hydrodynamics. Ser. B , 2010, 22(5): 920–925
