An Instability for Parallel Sliding of Solid Surfaces Separated by a Viscous Liquid Film

B. N. Banerjee; R. A. Burton

doi:10.1115/1.3452756

Journal of Lubrication Technology | Volume 98 | Issue 1 | Research Paper

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RESEARCH PAPERS

An Instability for Parallel Sliding of Solid Surfaces Separated by a Viscous Liquid Film

B. N. Banerjee and R. A. Burton

[+] Author and Article Information

B. N. Banerjee, R. A. Burton

Department of Mechanical Engineering and Astronautical Sciences, Northwestern University, Evanston, Ill.

J. of Lubrication Tech 98(1), 157-166 (Jan 01, 1976) (10 pages) doi:10.1115/1.3452756 History: Received June 16, 1975; Online October 20, 2010

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Abstract

Thermoelastic phenomena in lubricated face type seals are analyzed for possible instabilities which may lead to large surface deformations and seal failure. Thresholds of such instabilities are found where a small, steadily moving, surface disturbance will neither grow nor decay. For a good thermal conductor sliding on a good insulator, several such thresholds exist. Only one, however, falls within a reasonable operating range, the critical sliding speed being

U crit = h̄κK M μα M

where h̄ is the nominal film-thickness, κ the wave number of the disturbance, KM the thermal conductivity of the conductor and αM its coefficient of thermal expansion, and μ the viscosity of the oil. Expressions are given for the approximate limits of h̄ within which such a threshold lies. Finally, it is shown that, as expected, a disturbance will grow when U > Ucrit and decay when U < Ucrit .

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Banerjee BN, Burton RA. An Instability for Parallel Sliding of Solid Surfaces Separated by a Viscous Liquid Film. ASME. J. of Lubrication Tech. 1976;98(1):157-166. doi:10.1115/1.3452756.

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An Instability for Parallel Sliding of Solid Surfaces Separated by a Viscous Liquid Film

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