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Exact solution for compressive flow of viscoplastic fluids under perfect slip wall boundary conditions

Authors
  • Yang, F.1
  • 1 Department of Mechanical Engineering University of Rochester Rochester, NY 14627, USA E-mail: [email protected], US
Type
Published Article
Journal
Rheologica Acta
Publisher
Springer-Verlag
Publication Date
Feb 01, 1998
Volume
37
Issue
1
Pages
68–72
Identifiers
DOI: 10.1007/s003970050092
Source
Springer Nature
Keywords
License
Yellow

Abstract

Based on the perfect slip condition between rigid walls and fluids, the compressive flow of Herschel-Bulkley fluids and biviscous fluids was studied. The explicit expressions of stresses and fluid velocity were given. To move the rigid walls for a Herschel-Bulkley fluid with the yield stress (τ0), the mean pressure applied onto the rigid wall should be larger than 2τ0/\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}. No yield surface exists in the interior of the fluids when flow occurs. For a biviscous fluid, a critical load was given. The fluid behaves like the Bingham fluid when the external applied load onto the wall is larger than the critical load, otherwise the fluid is Newtonian.

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