1 Xu, H.J.J., Aidun, C.K., “Characteristics of fiber suspension flow in a rectangular channel”, Int. J. Multiphase Flow, 31, 318-336 (2005).2 Parsheh, M., Brown, M.L., Aidun, C.K., “Variation of fiber orientation in turbulent flow inside a planar contraction with different shapes”, Int. J. Multiphase Flow, 32 (12), 1354-1369 (2006).3 Manhart, M., “Rheology of suspensions of rigid-rod like particles in turbulent channel flow”, J. Non-Newt. Fluid Mech., 112, 269-293 (2003).4 Lin, J.Z., Zhang, W.F., Yu, Z.S., “Numerical research on the orientation distribution of fibers immersed in laminar and turbulent pipe flows”, J. Aerosol Sci., 35, 63-82 (2004).5 Paschkewitz, J.S., Dubief, Y., Shaqfeh, E.S.G., “The dynamic mechanism for turbulent drag reduction using rigid fibers based on Lagrangian conditional statistics”, Phys. Fluid, 17, 063102 (2005).6 Dong, S., Feng, X., Salcudean, M., Gartshore, I., “Concentration of pulp fibers in 3D turbulent channel flow”, Int. J. Multiphase Flow, 29, 1-21 (2003).7 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”, J. Non-Newt. Fluid Mech., 99, 145-157 (2001).8 Gillissen, J.J.J., Boersma, B.J., Mortensen, P.H., “The stress generated by non-Brownian fibers in turbulent channel flow simulations”, Phys. Fluids, 19, 115107 (2007).9 Lin, J.Z., Zhang, L.X., Zhang, W.F., “Rheological behavior of fiber suspensions in a turbulent channel flow”, J. Colloid Interface Sci., 296, 721-728 (2006).10 You, Z.J., Lin, J.Z., Yu, Z.S., “Hydrodynamic instability of fiber suspensions in channel flows”, Fluid Dynamics Res., 34 (4), 251-271 (2004).11 Lin, J.Z., Li, J., Zhang, W.F., “The forces exerted on a cylindrical particle in the elongational shear flows”, Int. J. Nonlinear Sci. Num. Simul., 5, 9-16 (2004).12 Lin, J.Z., Shi, X., Yu, Z.S., “The motion of fibers in an evolving mixing layer”, Int. J. Multiphase Flow, 29 (8), 1355-1372 (2003).13 Lin, J.Z., Gao, Z.Y., Zhou, K., “Mathematical modeling of turbulent fiber suspension and successive iteration solution in the channel flow”, Appl. Math. Model., 30 (9), 1010-1020 (2006).14 Lin, J.Z., Shi, X., You, Z.J., “Effects of the aspect ratio on the sedimentation of a fiber in Newtonian fluids”, J. Aerosol Sci., 34 (7), 909-921 (2003b).15 Qi, D.W., “A new method for direct simulations of flexible filament suspensions in non-zero Reynolds number flows”, Int. J. Num. Meth. Fluids, 54, 103-118 (2007).16 Shi, X., Lin, J.Z., Yu, Z.S., “Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element”, Int. J. Num. Meth. Fluids, 42 (11), 1249-1261 (2003).17 Zhang, S.L., Lin, J.Z., Zhang, W.F., “Numerical research on the fiber suspensions in a turbulent T-shaped branching channel flow”, Chin. J. Chem. Eng., 15 (1), 30-38 (2007).18 Jin, B.S., Tao, H., Zhong, W.Q., “Flow behaviors of non-spherical granules in rectangular hopper”, Chin. J. Chem. Eng., 18 (6), 931-939 (2010).19 Batchelor, G.K., “The stress generated in a non-dilute suspension of elongated particles by pure straining motion”, J. Fluid Mech., 46, 813-829 (1971).20 Folgar, F., Tucker ⅡI, C.L., “Orientation behavior of fibers in concentrated suspensions”, In: Transport Phenomena in Material Processing, Tucker ⅡI, C.L., ed., ASME, New York, 105-115 (1983).21 Lin, J.Z., Zhang, Q.H., Zhang, K., “Rheological properties of fiber suspensions flowing through a curved expansion duct”, Poly. Eng. Sci., 50 (10), 1994-2003 (2010). |