Slow Dripping of Yield-Stress Fluids

[+] Author and Article Information
M. A. Al Khatib1

HBCC, Department of Mathematical Sciences,  King Fahd University of Petroleum & Minerals, P.O. Box 5087, Dhahran, Saudi Arabiaalkhatibm@yahoo.com

S. D. Wilson

10 Belfield Road, Didsbury Manchester M20 6BH, UKsimondrw@btinternet.com


Corresponding author.

J. Fluids Eng 127(4), 687-690 (Apr 03, 2005) (4 pages) doi:10.1115/1.1949633 History: Received July 09, 2004; Revised April 03, 2005

The dripping problem of a viscoplastic (yield-stress) liquid running slowly out of a narrow vertical tube is considered. The volume of the drops which break away is determined. A Lagrangian coordinate system is used to analyze the extension of the thread as it sags under its own weight, neglecting inertia and capillarity. The biviscosity model has been used to characterize viscoplastic fluids; the Newtonian and Bingham models can be recovered as limiting cases. The Bingham limit is of special interest.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Sketch indicating the coordinate system

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Figure 2

Biviscosity model with τ as tress and ϵ as strain

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Figure 3

Diagram of Eq. 15 with Tp a typical history of a fluid element.

Grahic Jump Location
Figure 4

Sketch indicating periodic dripping




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