# Inertia effects in circular squeeze films containing a central air bubble

TL;DR: An analysis of the laminar squeezing flow of an incompressible Newtonian fluid between parallel circular plates containing a single central air bubble in the inertial flow regime is presented in this article, in which a successive approximation technique is used to account for fluid inertia effects.

Abstract: An analysis of the laminar squeezing flow of an incompressible Newtonian fluid between parallel circular plates containing a single central air bubble in the inertial flow regime is presented in which a successive approximation technique is used to account for fluid inertia effects. A non-linear differential equation for the bubble radius is obtained and is solved by the Runge–Kutta Gill method and then the squeeze film 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 film force and are compared with numerical results. The combined effects of air bubble and fluid film inertia on the squeeze film force are investigated. The results by the present theory are compared with those obtained using modified lubrication theory. The inertia corrections in the maximum squeeze film force are analysed compared for both the methods for various values of the parameters that influence the motion.

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7 citations

### Cites background from "Inertia effects in circular squeeze..."

...The effects of fluid inertia forces and non-Newtonian characteristics of lubricants in the squeeze film bearings have been examined by several investigators, (Tichy and Winer [8], Covey and Stanmore [2], Gartling and Phan-Thien [4], Donovan and Tanner [7], Huang et al. [6], Usha and Vimala [9]) but there are few papers attempting to describe the combined effects of fluid inertia forces and non-Newtonian characteristics of lubricants (Elkough [3], Batra and Kandasamy [1]) ....

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...[10] R. Usha and P. Vimala, Curved squeeze film with inertial effects-energy integral approach....

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...With sinusoidal squeeze motion, Usha and Vimala [10] have applied the energy integral approach to find the behavior of curved squeeze film bearing using a Newtonian lubricant....

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...[9] R. Usha and P. Vimala, Inertia effects in circular squeeze films containing a central air bubble....

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...[6], Usha and Vimala [9]) but there are few papers attempting to describe the combined effects of fluid inertia forces and non-Newtonian characteristics of lubricants (Elkough [3], Batra and Kandasamy [1]) ....

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1 citations

### Cites background from "Inertia effects in circular squeeze..."

...Usha and Vimala discussed inertia effects in a circular squeeze film bearing containing central air bubbles (Usha and Vimala, 2000)....

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1 citations

1 citations

### Cites background from "Inertia effects in circular squeeze..."

...Usha and Vimala[19] have discussed about inertia effects in circular squeeze films containing a central air bubble....

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...[19] R. Usha and P. Vimala., “Inertia effects in a circular squeeze films containing a central air bubble”....

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