Planar channel flow of a discontinuous shear-thickening model fluid: Theory and simulation

In this work, an analytical solution for the pressure-driven flow of a discontinuous shear-thickening (DST) fluid in a planar channel is presented. In order to model the fluid rheology, a regularized inverse-biviscous model is adopted. This involves a region of finite thickness to model the sharp ju...

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Bibliographic Details
Published in:Physics of fluids (1994) 2017-10, Vol.29 (10)
Main Authors: Vázquez-Quesada, A., Wagner, N. J., Ellero, M.
Format: Article
Language:English
Subjects:
Channel flow
Computational fluid dynamics
Computer simulation
Fluid dynamics
Fluid flow
Mathematical models
Physics
Rheological properties
Rheology
Shear flow
Smooth particle hydrodynamics
Thickening
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Summary:In this work, an analytical solution for the pressure-driven flow of a discontinuous shear-thickening (DST) fluid in a planar channel is presented. In order to model the fluid rheology, a regularized inverse-biviscous model is adopted. This involves a region of finite thickness to model the sharp jump in viscosity, and it is consistent with momentum conservation. In the limit of vanishing thickness, the truly DST behavior is obtained. Analytical results are validated by numerical simulations under steady and start-up flow using the smoothed particle hydrodynamics method. Flow results are investigated and discussed for different values of the model parameters.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.4997053