Hydrodynamic contact between a rotating roll and a semipermeable tray

A viscous fluid flow in the gap between a side surface of a rotating roll and a rectangular cavity with a semipermeable bottom surface is considered in the Reynolds approximation.Notation x, y, z Cartesian coordinates - U peripheral velocity of the roll - W translational velocity of the tray - h gap height - h ₀ minimum gap - side gap - v _x,v _y,v _z velocity components - K coefficient of channel wall permeability - P,504-1 dimensional and dimensionless pressures - R roll radius - S channel width - fluid viscosity - angle - x₀,₁, , dimensional and dimensionless coordinates of the flow zone boundaries - dimensionless permeability - friction - ,q geometrical simplexes - dimensionless variable - Q bulk flow rate of fluid - F buoyancy force - N power - I ₁,I ₂ integral parameters of flow - ₁, ₂ angular velocities of rotor and cylinder - _c fluid density - q gravity acceleration - Re Reynolds number - R ₁,R ₂ radii of cylinder and rotor in a granulator Volgograd Technical University. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 4, pp. 612–618, July–August, 1995.