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RESEARCH PAPERS

The Flow of Layered Liquid Crystals in a Thin Wedge With Dislocations

[+] Author and Article Information
Y. Rhim, J. Tichy

Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

J. Tribol 113(3), 492-497 (Jul 01, 1991) (6 pages) doi:10.1115/1.2920650 History: Received February 26, 1990; Revised June 18, 1990; Online June 05, 2008

Abstract

The velocity, displacement, and stress field of layered liquid crystals with dislocations in a lubricating gap are investigated numerically. Galerkin’s weighted residual finite element method is employed to solve a set of five highly nonlinear coupled differential equations in terms of two spatial coordinates. In addition to the usual continuity and momentum equations, equations are required for a body force term governing permeation through the layers and elastic displacement of the layers. The last equation contains a fourth derivative term which gives rise to dislocations and numerical complications. The results show a strong increase in load relative to an equivalent viscous lubricant. The load increase depends strongly on the magnitude of a permeation parameter.

Copyright © 1991 by The American Society of Mechanical Engineers
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