The laminar squeeze ow of an incompressible viscous uid between a at circular disk and a curved circular disk is analysed by taking into account the e ects of uid inertia and curvature, using energy integral method. The shape of the curved plate is assumed to be axisymmetric and the squeeze ÿlm characteristics are examined for arbitrary shape of the curved disk. The normal force exerted on the curved disk by the uid is obtained and the numerical results are presented for the sinusoidal motion of the curved disk. Special shapes for the curved disk are assumed and the results are compared with the available investigations. Further, the equation of the gapwidth for the constant force squeezing state is obtained and is solved numerically. The properties of the squeeze ÿlm are investigated through the inertial and curvature e ects on the load carrying capacity of the curved squeeze ÿlm.
An analysis is presented for the laminar squeeze flow of an incompressible powerlaw fluid between parallel plane annuli using the modified lubrication theory and energy integral method. The local and the convective inertia of the flow are considered in the investigation. Analytical expressions for the load carrying capacity of the squeeze film are obtained using both the methods and are compared with those based on the assumption of inertialess flow. It is observed that the inertia correction in the load carrying capacity is more significant for pseudo-plastic fluids, n<1.[S0742-4787(00)00504-X]
In this paper, the magnetic effects on the Newtonian squeeze film between two circular parallel plates, containing a single central air bubble of cylindrical shape are theoretically investigated. A uniform magnetic field is applied perpendicular to the circular plates, which are in sinusoidal relative motion, and fluid film inertia effects are included in the analysis. Assuming an ideal gas under isothermal condition for an air bubble, a nonlinear differential equation for the bubble radius is obtained by approximating the momentum equation governing the magnetohydrodynamic squeeze film by the mean value averaged across the film thickness. Approximate analytical solutions for the air bubble radius, pressure distribution, and squeeze film force are determined by a perturbation method for small amplitude of sinusoidal motion and are compared with the numerical solution obtained by solving the nonlinear differential equation. The combined effects of air bubble, fluid film inertia, and magnetic field on the squeeze film force are analyzed.
An analysis of the laminar squeezing ow of an incompressible Newtonian uid between parallel circular plates containing a single central air bubble in the inertial ow regime is presented in which a successive approximation technique is used to account for uid inertia e ects. A non-linear di erential equation for the bubble radius is obtained and is solved by the Runge-Kutta Gill method and then the squeeze ÿlm force is determined. Approximate analytical solutions based on the perturbation method for a small amplitude of sinusoidal motion are derived for the air bubble radius and squeeze ÿlm force and are compared with numerical results. The combined e ects of air bubble and uid ÿlm inertia on the squeeze ÿlm force are investigated. The results by the present theory are compared with those obtained using modiÿed lubrication theory. The inertia corrections in the maximum squeeze ÿlm force are analysed compared for both the methods for various values of the parameters that in uence the motion.
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