Constitutive Model for Time-Dependent Flows of Shear-Thickening Suspensions
J J J Gillissen1, C Ness2, J D Peterson3
1Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom.
Abstract:
We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent materials with ideas developed previously to explain the steady flow of shear-thickening ones, whereby friction proliferates among compressive contacts at large particle stresses. We apply our model to shear reversal, and find good qualitative agreement with particle-level, discrete-element simulations whose results we also present.
More Related Videos
11:51Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
08:42Challenges in Rheological Characterization of Highly Concentrated Suspensions — A Case Study for Screen-printing Silver Pastes
Published on: April 10, 2017
Related Concept Videos
Newtonian Fluid: Problem Solving
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Navier–Stokes Equations
Couette Flow
Typical Model Studies
Euler's Equations of Motion
Steady, Laminar Flow Between Parallel Plates
