Shear flow over a particulate or fibrous plate

摘要: Simple shear flow over a porous plate consisting of planar array particles is studied as model membrane. The main objective to compute the slip velocity defined with reference profile far above plate, and drift induced by underneath plate. difference between these two velocities shown be proportional thickness When geometry particle anisotropic, directions are generally different from direction overpassing flow. An integral formulation developed describe periodic lattice arbitrary shape, representations for pressure in terms doubly-periodic Green’s function three-dimensional Stokes Based on representation, asymptotic expressions derived limit where size small compared inter-particle separation, numerical results presented spherical spheroidal size. found accurate an extended range sizes. To study porosity, available solution plane wall circular orifice used homogeneous distribution perforations, derived. Corresponding axial transverse now cylinders arranged distributed plane. Streamline pattern illustrations confirm that negative due onset eddies closely-spaced particles.