ReviewThe motion of rigid particles in viscoelastic fluids☆
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Cited by (74)
Homogenizing the viscosity of shear-thinning fiber suspensions with an FFT-based computational method
2023, Journal of Non-Newtonian Fluid MechanicsOn a variational principle for the Upper Convected Maxwell model
2023, Journal of Non-Newtonian Fluid MechanicsCitation Excerpt :In the context of non-Newtonian fluids and creeping flow conditions, the theorem has found use in a number of studies focusing on the force and torque on particles at low Deborah number, where the theory of second-order fluids applies and one is especially interested in the corrections to the results obtained for Newtonian fluids. Well-known early studies include the work by Leal on the motion of slender particles [20] and by Brunn investigating the dynamics of particles of more general shape [21]. As emphasized in [19], it is one of the attractive features of the theorem that the corrections may be found directly in terms of parameters relating to Stokes flow, whereby the need to actually solve the relevant equations for the flow variables is circumvented.
Scaling law for the viscoelasticity-induced particle migration in stirred vessels
2022, Journal of Non-Newtonian Fluid MechanicsCitation Excerpt :The systematic study of the dynamics of particles in viscoelastic fluids started over half a century ago [1,2] with earlier works mainly reporting experimental observations, in simple flow cells, of complex behaviours, such as migration and accumulation of the particles. The experimental results were also qualitatively supported by theoretical predictions derived under the conditions of slow and slowly varying flow, and of small particle size [1–4]. The development of more accurate experimental techniques, like particle velocimetry, allowed the detailed analysis of the dynamics of the particles in a wide range of flow conditions.
Numerical investigation of elasto-inertial particle focusing patterns in viscoelastic microfluidic devices
2019, Journal of Non-Newtonian Fluid MechanicsA note on higher-order perturbative corrections to squirming speed in weakly viscoelastic fluids
2019, Journal of Non-Newtonian Fluid MechanicsDynamics and rheology of particles in shear-thinning fluids
2018, Journal of Non-Newtonian Fluid MechanicsCitation Excerpt :In order to understand the properties of these suspensions, it becomes imperative to first understand the interaction of a single particle with the surrounding media and the mutual interaction between two such particles. In fact, it is known that the motion and orientational dynamics of particles can be strongly affected by the rheology of the surrounding fluid medium [8–12]. For example, at zero Reynolds number, while the center-to-center distance between two equal spherical particles which are sedimenting along their line of centers through a quiescent fluid is fixed indefinitely at its initial value in a Newtonian fluid [13], this distance is found to change in the presence of viscoelasticity of the fluid medium [14].
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Paper presented at the 1980 Engineering Foundation Conference, Asimolar, California, U.S.A., January 20–25.
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Present address: Department of Chemical Engineering and Applied Chemistry, Columbia University, New York, N.Y. 10027, U.S.A.