An analysis of slippage effects on a solid sphere enclosed by a non-concentric cavity filled with a couple stress fluids.

This investigation shows the effect of slippage on the slow spinning of a rigid sphere covered by a non-concentric spherical hollow full of an incompressible couple stress fluid. Moreover, the velocity slip conditions are employed on surfaces of both the rigid sphere and the cavity. In addition, the solid sphere and the cavity are rotating axially at various angular speeds.

Thermal-optical mechanical waves of the microelongated semiconductor medium with fractional order heat time derivatives in a rotational field.

Outlined here is an innovative method for characterizing a layer of microelongated semiconductor material under excitation. Fractional time derivatives of a heat equation with a rotational field are used to probe the model during photo-excitation processes. Micropolar-thermoelasticity theory, which the model implements, introduces the microelongation scalar function to characterize the processes occurring inside the microelements.

Effect of the permeability on the interaction between two spheres oscillating through Stokes-Brinkmann medium.

The effect of permeability on the rectilinear oscillations of two rigid spheres moving through an unbounded viscous fluid about their axis of symmetry with no slip is investigated. A collocation technique was employed to execute the conditions on the surfaces of the rigid spheres. The in-phase and out-phase forces are obtained and expressed graphically for various parameters.

Effect of magnetic field on the motion of two rigid spheres embedded in porous media with slip surfaces.

A semi-analytical study for the Stokes flow approximation caused by two solid spheres of different sizes with slip surfaces, immersed in a porous medium in the presence of a transverse magnetic field, is investigated. The two spheres are translating with different velocities along the line joining their centers. A general solution is developed from the superposition of the essential solutions in two spherical frameworks with origins located at the centers of the two spheres.

Settling slip velocity of a spherical particle in an unbounded micropolar fluid.

The gravitational settling of small spherical particles in an unbounded micropolar fluid with slip surfaces is considered. The motion is studied under the assumption of low Reynolds number. The slip boundary conditions on velocity and microrotation at the surface of the spherical particle is used.