Transitions in rotations of a nonspherical particle in a three-dimensional moderate Reynolds number Couette flow

The rotational states of three-dimensional nonspherical particles including cylindrical and disk-shaped, as well as prolate and oblate, ellipsoidal in a Couette flow are studied by using a lattice Boltzmann simulation. We discover that rotation of a nonspherical particle exhibits several different states, depending on the ranges of the particle Reynolds numbers and the geometric shape of the particle. As the Reynolds number increases, the rotation transits from one state to another state.

[1]  Minami Yoda,et al.  The circular cylinder in simple shear at moderate Reynolds numbers: An experimental study , 2001 .

[2]  A. Ladd.  Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[3]  L. G. Leal,et al.  Particle Motions in a Viscous Fluid , 1980 .

[4]  I. Chang,et al.  Maximum dissipation resulting from lift in a slow viscous shear flow , 1968, Journal of Fluid Mechanics.

[5]  Ronald G. Larson,et al.  Effect of molecular elasticity on out-of-plane orientations in shearing flows of liquid-crystalline polymers , 1991 .

[6]  A. Ladd.  Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results , 1993, Journal of Fluid Mechanics.

[7]  G. B. Jeffery.  The motion of ellipsoidal particles immersed in a viscous fluid , 1922 .

[8]  C. Aidun,et al.  Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation , 1998, Journal of Fluid Mechanics.

[9]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[10]  Dewei Qi.  Non-Spheric Colloidal Suspensions in Three-Dimensional Space , 1997 .

[11]  L. Luo,et al.  A priori derivation of the lattice Boltzmann equation , 1997 .

[12]  Dewei Qi,et al.  Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows , 1999, Journal of Fluid Mechanics.

[13]  Matthaeus,et al.  Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[14]  Dewei Qi,et al.  Simulations of fluidization of cylindrical multiparticles in a three-dimensional space , 2001 .

[15]  S. G. Mason,et al.  The flow of suspensions through tubes: V. Inertial effects , 1966 .

[16]  Eric S. G. Shaqfeh,et al.  The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow , 1995 .

[17]  Dewei Qi,et al.  Lattice-Boltzmann simulations of fluidization of rectangular particles , 2000 .

[18]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[19]  Geoffrey Ingram Taylor,et al.  The Motion of Ellipsoidal Particles in a Viscous Fluid , 1923 .

[20]  Cyrus K. Aidun,et al.  The dynamics and scaling law for particles suspended in shear flow with inertia , 2000, Journal of Fluid Mechanics.