Magnetohydrodynamic squeeze film characteristics between parallel circularplates containing a single central air bubble in the inertial flow regime

In this paper, the magnetic effects on the Newtonian squeeze film between t wo circular parallel plates, containing a single central air bubble of cyli ndrical shape are theoretically investigated. A uniform magnetic field is a pplied perpendicular to the circular plates, which are in sinusoidal relati ve motion, and fluid film inertia effects air included in the analysis. Ass uming an ideal gas tinder isothermal condition for an air bubble, a nonline ar differential equation for the bubble radius is obtained by approximating the momentum equation governing the magnetohydrodynamic squeeze film by th e mean value averaged across the film thickness. Approximate analytical sol utions for the air bubble radius, pressure distribution, and squeeze film f orce are determined by a perturbation method for small amplitude of sinusoi dal motion and are compared with the numerical solution obtained by solving the nonlinear differential equation. The combined effects of air bubble, f luid film inertia, and magnetic field oil the squeeze film force are analyz ed.