Lateral migration of a rigid sphere in torsional flow of a viscoelastic fluid

AIChE Journal ◽  
1984 ◽  
Vol 30 (4) ◽  
pp. 631-636 ◽  
Author(s):  
T. E. Karis ◽  
D. C. Prieve ◽  
S. L. Rosen
Keyword(s):  
Viscoelastic Fluid ◽  
Rigid Sphere ◽  
Lateral Migration ◽  
Torsional Flow

Anomalous Lateral Migration of a Rigid Sphere in Torsional Flow of a Viscoelastic Fluid

1984 ◽  
Vol 28 (4) ◽  
pp. 381-392 ◽  
Author(s):  
T. E. Karis ◽  
D. C. Prieve ◽  
S. L. Rosen
Keyword(s):  
Viscoelastic Fluid ◽  
Rigid Sphere ◽  
Lateral Migration ◽  
Torsional Flow

Anomalous Migration of a Rigid Sphere in Torsional Flow of a Viscoelastic Fluid. II: Effect of Shear Rate

1985 ◽  
Vol 29 (6) ◽  
pp. 639-654 ◽  
Author(s):  
D. C. Prieve ◽  
M. S. Jhon ◽  
T. L. Koenig
Keyword(s):  
Shear Rate ◽  
Viscoelastic Fluid ◽  
Rigid Sphere ◽  
Torsional Flow

Inertial migration of rigid spheres in two-dimensional unidirectional flows

1974 ◽  
Vol 65 (2) ◽  
pp. 365-400 ◽  
Author(s):  
B. P. Ho ◽  
L. G. Leal
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Poiseuille Flow ◽  
Initial Position ◽  
Rigid Sphere ◽  
Simple Shear Flow ◽  
Two Dimensional ◽  
Lateral Migration ◽  
Rigid Spheres ◽  
Inertial Migration

The familiar Segré-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. It is shown that the spheres reach a stable lateral equilibrium position independent of the initial position of release. For simple shear flow, this position is midway between the walls, whereas for Poiseuille flow, it is 0·6 of the channel half-width from the centre-line. Particle trajectories are calculated in both cases and compared with available experimental data. Implications for the measurement of the rheological properties of a dilute suspension of spheres are discussed.

scholarly journals Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid

1976 ◽  
Vol 76 (4) ◽  
pp. 783-799 ◽  
Author(s):  
B. P. Ho ◽  
L. G. Leal
Keyword(s):  
Shear Rate ◽  
Outer Cylinder ◽  
Second Order ◽  
Rigid Sphere ◽  
Cylinder Wall ◽  
Two Dimensional ◽  
Lateral Migration ◽  
Lateral Variation ◽  
Rigid Spheres ◽  
Neutrally Buoyant

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.

scholarly journals Three-Dimensional Numerical Simulation of Particle Focusing and Separation in Viscoelastic Fluids

Micromachines ◽  
2020 ◽  
Vol 11 (10) ◽  
pp. 908
Author(s):  
Chen Ni ◽  
Di Jiang
Keyword(s):  
Viscoelastic Fluid ◽  
Rectangular Channel ◽  
Particle Interaction ◽  
Three Dimensional ◽  
Viscoelastic Fluids ◽  
Lateral Migration ◽  
Square Channel ◽  
Particle Focusing ◽  
Aspect Ratios ◽  
Large Particles

Particle focusing and separation using viscoelastic microfluidic technology have attracted lots of attention in many applications. In this paper, a three-dimensional lattice Boltzmann method (LBM) coupled with the immersed boundary method (IBM) is employed to study the focusing and separation of particles in viscoelastic fluid. In this method, the viscoelastic fluid is simulated by the LBM with two sets of distribution functions and the fluid–particle interaction is calculated by the IBM. The performance of particle focusing under different microchannel aspect ratios (AR) is explored and the focusing equilibrium positions of the particles with various elasticity numbers and particle diameters are compared to illustrate the mechanism of particle focusing and separation in viscoelastic fluids. The results indicate that, for particle focusing in the square channel (AR = 1), the centerline single focusing becomes a bistable focusing at the centerline and corners as El increases. In the rectangular channels (AR < 1), particles with different diameters have different equilibrium positions. The equilibrium position of large particles is closer to the wall, and large particles have a faster lateral migration speed and few large particles migrate towards the channel center. Compared with the square channel, the rectangular channel is a better design for particle separation.

scholarly journals Steady streaming of a viscoelastic fluid within a periodically rotating sphere

2014 ◽  
Vol 761 ◽  
pp. 329-347 ◽  
Author(s):  
Rodolfo Repetto ◽  
Jennifer H. Siggers ◽  
Julia Meskauskas
Keyword(s):  
Viscoelastic Fluid ◽  
Present Model ◽  
Transport Processes ◽  
Rigid Sphere ◽  
Steady Streaming ◽  
Circulation Cell ◽  
Different Types ◽  
Parameter Values ◽  
Streaming Flow ◽  
Axis Passing

AbstractMotivated by understanding mass transport processes occurring in the vitreous chamber of the eye, we consider the steady streaming component of the flow generated in a viscoelastic fluid contained within a hollow, rigid sphere performing small-amplitude, periodic, torsional oscillations about an axis passing through its centre. The problem is solved semi-analytically, assuming that the amplitude of the oscillations is small. The paper extends the work by Repetto et al. (J. Fluid Mech., vol. 608, 2008, pp. 71–80), in which the case of a purely viscous fluid was analysed. However, in reality, in young and healthy subjects, the vitreous humour has complex rheological properties, and so here we model it as a viscoelastic fluid. A similar problem was studied by Nikolakis (Eine Theorie für stationäre Drifterscheinungen viskoelastischer Flüssigkeiten, 1992, VDI). In the present model, the steady streaming flow is governed by four dimensionless parameters. We show that, when we account for the viscoelasticity of the fluid, there is a considerably more complex set of possible flow regimes than was found in the purely viscous case, and the flows can be classified into five qualitatively different types. Whereas there was only one circulation cell in each hemisphere in the viscous case, accounting for viscoelasticity it is possible have either one, two or three circulation cells, with different senses of rotation, depending on the parameter values.

Dynamic oscillatory behavior of a linear viscoelastic fluid bounded by an ideal linear viscoelastic membrane in torsional flow

2003 ◽  
Vol 261 (1) ◽  
pp. 88-98
Author(s):  
Alexandre I. Romoscanu ◽  
Chris J. Lawrence ◽  
Adam S. Burbidge ◽  
Mahir B. Sayir ◽  
Klaus Häusler
Keyword(s):  
Viscoelastic Fluid ◽  
Oscillatory Behavior ◽  
Linear Viscoelastic ◽  
Torsional Flow ◽  
Linear Viscoelastic Fluid

Investigation of particle lateral migration in sample-sheath flow of viscoelastic fluid and Newtonian fluid

2016 ◽  
Vol 37 (15-16) ◽  
pp. 2147-2155 ◽  
Author(s):  
Dan Yuan ◽  
Jun Zhang ◽  
Sheng Yan ◽  
Gangrou Peng ◽  
Qianbin Zhao ◽  
...  
Keyword(s):  
Newtonian Fluid ◽  
Viscoelastic Fluid ◽  
Lateral Migration ◽  
Sheath Flow
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