An Approximate Analytical Model for the Separation of a Sphere From a Flat in the Presence of a Liquid

[+] Author and Article Information
J. L. Streator

G. W. Woodruff School of Mechanical Engineering,  Georgia Institute of Technology, Atlanta, GA 30332-0405jeffrey.streator@me.gatech.edu

By “sphere” we mean a body whose contacting surface has a uniform radius of curvature.

J. Tribol 128(2), 431-435 (Nov 03, 2005) (5 pages) doi:10.1115/1.2162556 History: Received January 07, 2005; Revised November 03, 2005

An approximate analytical model is proposed to describe the process of separating a sphere from a flat in the presence of a Newtonian liquid, under conditions of constant force. The model is based on consideration of the effects of sphere inertia in characterizing the critical point of separation—namely, that there is a sudden onset of significant sphere acceleration. Good agreement is found between the predictions of the analytical model with those of a full numerical simulation.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Schematic of interface under investigation

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Figure 2

Convergence behavior of integral to compute viscous force

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Figure 3

Typical results for the viscous force history

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Figure 4

Time to separation versus applied force

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Figure 5

Time to separation versus sphere mass

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Figure 6

Time to separation versus sphere radius



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