A rectilinear oscillation of two spheres in an unbounded viscous fluid under the influence of a magnetic field

Abstract

This study examines the unsteady creeping quiescent movement of two rigid spheres within an infinite Stokes fluid flow under the influence of a magnetic field. At the surfaces of rigid spherical particles, Stokes flow is allowed to no-slip. The particles vary in size and radii. A line connecting the centers of the rigid spherical particles moves at different speeds. The solutions are exposed at low Reynolds numbers. As a result of boundary collocation, the differential equations are semi-analytically derived. The drag coefficients estimate the interaction impacts between rigid spherical particles. The coefficients of unsteady drag are presented graphically and tabulated for various parameters. Additionally, it is noted that the Hartmann number and the frequency parameter have a significant effect. Known results in the literature have been used to examine the precision and convergence of our collocation technique.