Isothermal squeeze films
Author:
W. E. Langlois
Journal:
Quart. Appl. Math. 20 (1962), 131-150
DOI:
https://doi.org/10.1090/qam/99963
MathSciNet review:
QAM99963
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Abstract |
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Abstract: A derivation is presented of the equation governing the pressure in a thin, flat film of ideal gas under isothermal conditions, when the surfaces bounding the film are in relative normal and tangential motion. When tangential motion is absent, the pressure equation reduces to a nonlinear heat equation, which admits of very few closed-form solutions. Various approximation methods are discussed, and two problems involving small periodic variation of the gap between parallel plates are solved by a perturbation method for a film in which fluid inertia is negligible.
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Review No. 3206, Appl. Mech. Rev. 13, 457 (1960)
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Wagner, C., Diffusion of lead chloride dissolved in solid silver chloride, J. Chem. Phys. 18, 1229 (1950)
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Gross, W. A., Unsteady bearing films and bearing systems, IBM Research Report RJ-117-8 (1960)
Tipei, N., Ecuaţiile Lubrificaţiei cu Gaze, Communicările Acad. R. P. Romîne, 4, 699 (1954)
Elrod, H. G., A derivation of the basic equations for hydrodynamic lubrication with a fluid having constant properties, Q. Appl. Math. 17, 349-59 (Jan. 1960)
Review No. 3206, Appl. Mech. Rev. 13, 457 (1960)
Comolet, R., Ecoulement d’un fluide entre deux plans paralleles: Contribution a l’étude des buteés d’air, Publications Scientifiques et Techniques, No. 334 (1957)
Licht, L. and Elrod, H. G., An Analytical and Experimental Study of the Stability of Externally Pressurized, Gas-Lubricated Thrust Bearings. Interim Report I-A2049-12, The Franklin Institute (1961)
Crank, J., The mathematics of diffusion, Oxford (1956)
Wagner, C., Diffusion of lead chloride dissolved in solid silver chloride, J. Chem. Phys. 18, 1229 (1950)
Taylor, G. I., and Saffman, P. G., Effects of compressibility at low Reynolds number, J. Aero. Sci. 24, 553 (1957)
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Article copyright:
© Copyright 1962
American Mathematical Society
