Published Resources Details

Journal Article

Author
Michell, A. G. M.
Title
The lubrication of plane surfaces
In
Transactions of The Institution of Engineers, Australia: Mechanical Engineering
Imprint
vol. ME13, no. 1 and 2, 1988, pp. 49-62
Description

This paper was originally published in Zeitschrift Fur Mathematik Und Physik, Vol. 52 in 1905, pp 123-137.

Abstract

The improvements made by Sommerfeld in the mathematical treatment of Reynolds' Hydrodynamical Theory of Lubrication have laid open the path to its practical application. In the case of cylindrical bearings, however, certain corrections and approximations still require to be investigated, before a quite satisfactory comparison with experiment can be made. The most important of these is perhaps that which arises from the fact that actual bearings are necessarily of limited length, whereas in the mathematical theory of Reynolds and Sommerfeld the length is supposed to be so great that the motion can be treated as two-dimensional. The present Paper discusses an application of the theory to a case for which the complete solution in three dimensions can be obtained. This is the case of a plane side-block of finite length and width, such as the crosshead slide-blocks of steam-engines. At the end of the paper a short account is given of a preliminary experimental verification, not made however directly, with fluid lubricants, but by the help of a physical analogy hereafter explained. This experimental method is of general applicability, and in the absence of a mathematical theory of cylindrical bearings of finite length, may be worthy of systematic use for the investigation of that (practically the most important) case. (This paper was originally published in Zeitschrift Fur Mathematik Und Physik, Vol. 52 in 1905, pp 123-137).

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