Simulation of Lubricated Squeezing Flow of a Herschel-Bulkley Fluid Under Constant Force

Autor: Ak M. Mehmet, Gunasekaran Sundaram
Jazyk: angličtina
Rok vydání: 2000
Předmět:
Zdroj: Applied Rheology, Vol 10, Iss 6, Pp 274-279 (2000)
Druh dokumentu: article
ISSN: 1617-8106
DOI: 10.1515/arh-2000-0017
Popis: Lubricated squeezing flow (LSF) of a Herschel-Bulkley fluid between parallel disks under constant force was theoretically analyzed. An analytical expression for the fluid thickness as a function of time was obtained in terms of a hypergeometric function. The fluid thickness profiles in LSF were simulated for a range of each of the model parameters (n, K, τo). The solution obtained in this study reduces to the corresponding analytical equations previously derived for LSF of Newtonian and power-law fluids. The simulations for Herschel-Bulkley fluid were compared with the response of Newtonian and power-law fluids. The dependence of the limiting fluid thickness (i.e. H(t)/H0 at 180 s) on model parameters is presented.
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