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RESEARCH PAPERS

Gravity-Driven Motion of a Layer of Viscoelastic Fluid Around a Horizontal Wire

[+] Author and Article Information
P. R. Souza Mendes, M. F. Naccache

Department of Mechanical Engineering, Pontifícia Universidade Católica-RJ, Rio de Janeiro, RJ 22453, Brazil

J. Fluids Eng 113(4), 689-694 (Dec 01, 1991) (6 pages) doi:10.1115/1.2926535 History: Received August 16, 1990; Online May 23, 2008

Abstract

A theoretical study of the free-surface flow of a viscoelastic fluid around a horizontal cylinder is reported in this paper. The fluid layer has initially a uniform thickness, and, at some instant of time, it starts to flow due to the presence of a gravity field. The result sought is the film thickness as a function of time and angular position. The mass- and momentum-conservation principles are employed in conjunction with the Maxwell constitutive equation. Using an integral method, a system of two nonlinear equations is obtained. The results are compared with the ones for a Newtonian fluid, and the elastic effects are shown to change dramatically the flow.

Copyright © 1991 by The American Society of Mechanical Engineers
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