Mathematical Physics


The Yield Condition in the Mobilization of Yield-Stress Materials in Distensible Tubes

Authors: Taha Sochi

In this paper we investigate the yield condition in the mobilization of yield-stress materials in distensible tubes. We discuss the two possibilities for modeling the yield-stress materials prior to yield: solid-like materials and highly-viscous fluids and identify the logical consequences of these two approaches on the yield condition. As part of this investigation we derive an analytical expression for the pressure field inside a distensible tube with a Newtonian flow using a one-dimensional Navier-Stokes flow model in conjunction with a pressure-area constitutive relation based on elastic tube wall characteristics.

Comments: 20 Pages.

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Submission history

[v1] 2016-12-09 01:26:02

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