Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid
B. P. Ho,L. G. Leal +1 more
TLDR
In this article, the lateral migration of a neutrally buoyant rigid sphere suspended in a second-order fluid is studied theoretically for unidirectional two-dimensional flows, and the authors demonstrate the existence of migration induced by normal stresses whenever there is a lateral variation of the shear rate in the undisturbed flow.Abstract:
The lateral migration of a neutrally buoyant rigid sphere suspended in a second-order fluid is studied theoretically for unidirectional two-dimensional flows. The results demonstrate the existence of migration induced by normal stresses whenever there is a lateral variation of the shear rate in the undisturbed flow. The migration occurs in the direction of decreasing absolute shear rate, which is towards the centre-line for a plane Poiseuille flow and towards the outer cylinder wall for Couette flow. The direction of migration agrees with existing experimental data for a viscoelastic suspending fluid, and qualitative agreement is found between the theoretically predicted and experimentally measured sphere trajectories.read more
Citations
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MonographDOI
Colloidal Suspension Rheology
Jan Mewis,Norman J. Wagner +1 more
TL;DR: In this paper, the authors introduce colloid science and rheology, and present an overview of colloid physics and its applications in viscoelastic media. But they do not discuss the role of non-spherical particles.
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Inertial microfluidic physics
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Particle Motions in a Viscous Fluid
TL;DR: The motion of small particles, drops, and bubbles in a viscous fluid at low Reynolds number is one of the oldest classes of problems in theoretical fluid mechanics, dating at least to Stokes's analysis of the translation of a rigid sphere through an unbounded quiescent fluid at zero Reynolds number as discussed by the authors.
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Hydrodynamic mechanisms of cell and particle trapping in microfluidics
TL;DR: An overview of the cell/particle sorting techniques by harnessing intrinsic hydrodynamic effects in microchannels with emphasis on the underlying fluid dynamical mechanisms causing cross stream migration of objects in shear and vortical flows is presented.
Journal ArticleDOI
The motion of a deformable drop in a second-order fluid
P. C.-H. Chan,L. G. Leal +1 more
TL;DR: In this paper, the cross-stream migration of a deformable drop in a unidirectional shear flow of a second-order fluid is considered and the particle velocity due to the separate effects of deformation and viscoelastic rheology is obtained.
References
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Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Journal ArticleDOI
An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)
TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
Journal ArticleDOI
Inertial migration of rigid spheres in two-dimensional unidirectional flows
B. P. Ho,L. G. Leal +1 more
TL;DR: In this article, the Segre-Silberberg effect of inertia-induced lateral migration of a neutrally buoyant rigid sphere in a Newtonian fluid is studied theoretically for simple shear flow and for two-dimensional Poiseuille flow.
Journal ArticleDOI
The slow motion of slender rod-like particles in a second-order fluid
TL;DR: In this article, the motion of a slender axisymmetric rod-like particle is investigated for translation through a quiescent second-order fluid and for rotation in a simple shear flow of the same material.
Journal ArticleDOI
Particle motions in non-Newtonian media
TL;DR: In this article, an experimental study of the behavior of rigid and deformable particles suspended in pseudoplastic and elasticoviscous liquids undergoing slow Couette flow was undertaken, and the velocity profiles deviated slightly from those obtained forNewtonian fluids, but the measured angular velocities of rigid spheres showed that the rotation of the field was equal to half the velocity gradient.