Orientation distribution of cylindrical particles suspended in a turbulent pipe flow

Physics of Fluids

Volumn 17, Issue 9, 2005, Pages 1-8

  Zhang, Ling Xin ^a   Lin, Jian Zhong ^a   Chan, T L ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; FUNCTION EVALUATION; MATHEMATICAL MODELS; SHEAR FLOW; SUSPENSIONS (FLUIDS); TURBULENT FLOW; VELOCITY;

DISPERSION COEFFICIENT; ORIENTATION DISTRIBUTION FUNCTION (ODF); STEADY STATE EQUATION;

PIPE FLOW;

PARTICLE DISPERSION; PIPE FLOW; SUSPENSION; TURBULENCE;

EID: 27144434011     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2046713     Document Type: Article

References (21)

1. E. S. G. Shaqfeh and G. H. Fredrickson, "The hydrodynamic stress in a suspension of rods," Phys. Fluids APFADEB0899-821310.1063/ 1.857683 2, 7 (1990).
2. M. D. Rahnama, L. Koch, and E. S. G. Shaqfeh, "The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow" Phys. Fluids PHFLE61070-663110.1063/1.868647 7, 487 (1995).
3. L. G. Leal and E. J. Hinch, "The effect of weak Brownian rotation on particles in shear flow" J. Fluid Mech. JFLSA70022-1120 46, 685 (1972).
4. E. J. Hinch and L. G. Leal, "Time-dependent shear flows of a suspension of particles with weak Brownian rotations" J. Fluid Mech. JFLSA70022-1120 57, 753 (1973).
5. G. B. Jeffery, "The motion of ellipsoidal particles immersed in a viscous fluid" Proc. R. Soc. London, Ser. APRLAAZ0950-1207 102, 161 (1922).
6. E. Anczurowski and S. G. Mason, "The kinetics of flowing dispersions: III Equilibrium orientations of rods and discs (experimental)" J. Colloid Interface Sci. JCISA50021-979710.1016/ 0021-9797(67)90200-7 23, 533 (1967).
7. E. M. Krushkal and I. Gallily, "On the orientation distribution function of non-spherical aerosol particles in a general shear flow-I. the laminar case" J. Colloid Interface Sci. JCISA50021-9797 99, 141 (1984).
8. J. A. Olson, "The motion of fibres in turbulent flow, stochastic simulation of isotropic homogeneous turbulence" Int. J. Multiphase Flow IJMFBP0301-9322 27, 2083 (2001).
9. J. A. Olson, I. Frigaard, C. Chan, and J. P. Hamalainen, "Modeling a turbulent fibre suspension flowing in a planar contraction: The one-dimensional headbox" Int. J. Multiphase Flow IJMFBP0301-9322 30, 51 (2004).
10. J. Z. Lin, W. F. Zhang, and Z. S. Yu, "Numerical research on the orientation distribution of fibers immersed in laminar and turbulent pipe flows" J. Aerosol Sci. JALSB70021-8502 35, 63 (2004).
11. E. M. Krushkal and I. Gallily, "On the orientation distribution function of non-spherical aerosol particles in a general shear flow-II. The turbulent case" J. Aerosol Sci. JALSB70021-8502 19, 197 (1988).
12. J. A. Olson and R. J. Kerekes, "The motion of fibres in turbulent flow" J. Fluid Mech. JFLSA70022-1120 377, 47 (1988).
13. J. Feng and L. G. Leal, "Pressure-driven channel flows of a model liquid-crystalline polymer" Phys. Fluids PHFLE61070-663110.1063/ 1.870141 11, 2821 (2000).
14. M. K. Lyon, D. W. Mead, R. E. Elliott, and L. G. Leal, "Structure formation in moderately concentrated viscoelastic suspensions in simple shear flow" J. Rheol. JORHD20148-605510.1122/1.1381008 45, 881 (2001).
15. G. Sgalari, L. G. Leal, and E. Meiburg "Texture evolution of sheared liquid crystalline polymers: Numerical predictions of roll-cells instability, director turbulence, and striped texture with a molecular model" J. Rheol. JORHD20148-605510.1122/1.1621420 47, 1417 (2003).
16. O. Bernstein and M. Shapiro, "Direct determination of the orientation distribution function of cylindrical particles immersed in laminar and turbulent shear flows" J. Aerosol Sci. JALSB70021-8502 25, 113 (1994).
17. G. K. Batchelor, "The stress system in a suspension of force-free particles" J. Fluid Mech. JFLSA70022-1120 41, 545 (1970).
18. S. M. Dinh and R. C. Armstrong, "A rheological equation of state for semiconcentrated fiber suspensions" J. Rheol. JORHD20148-605510.1122/1.549748 28, 207 (1984).
19. S. G. Advani and C. L Tucker "The use of tensors to describe and predict fiber orientation in short fiber composites" J. Rheol. JORHD20148-605510.1122/1.549945 31, 751 (1987).
20. J. C. H. Fung, J. C. R. Hunt, N. A. Malik, and R. J. Perkins, "Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes" J. Fluid Mech. JFLSA70022-1120 236, 281 (1992).
21. L. P. Wang and D. E. Stock, "Numerical simulation of heavy particle dispersion-scale ratio and flow decay considerations" ASME J. Fluids Eng. JFEGA40098-2202 116, 154 (1994).