Article ID Journal Published Year Pages File Type
159404 Chemical Engineering Science 2005 8 Pages PDF
Abstract

The familiar examples of lubrication theory for the approximate analysis of the motion of cylindrical and spherical particles near boundaries takes advantage of the local parabolic shape near contact. We generalize these studies to particles and boundaries of more general shape, which have the feature that the curvature is zero at the point of minimum separation in the gap. Order-of-magnitude estimates and detailed solutions are given. The translation of such a close-fitting object in a circular tube, and the pressure-driven flows between two surfaces with zero curvature at minimum separation and in a saddle-shaped channel, are considered in a similar fashion.

Related Topics
Physical Sciences and Engineering Chemical Engineering Chemical Engineering (General)
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