The problem of stretching a viscoplastic (yield-stress) thread of a liquid hanging vertically is considered. The length of the thread at later times and the time at which it ruptures is determined. A Lagrangian coordinate system is used to analyze the extension of the thread as it sags under its own weight, with negligible inertial effects. 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.
The Stretching of a Viscoplastic Thread of Liquid
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division November 20, 2002, revised manuscript received June 4, 2003. Associate Editor: D. Siginer.
Al Khatib, M. A. M. (January 12, 2004). "The Stretching of a Viscoplastic Thread of Liquid ." ASME. J. Fluids Eng. November 2003; 125(6): 946–951. https://doi.org/10.1115/1.1624427
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