Lateral migration of a small spherical buoyant particle in a wall-bounded linear shear flow

2009 ◽  
Vol 21 (8) ◽  
pp. 083303 ◽  
Author(s):  
Fumio Takemura ◽  
Jacques Magnaudet
Keyword(s):  
Shear Flow ◽  
Lateral Migration ◽  
Bounded Linear ◽  
Linear Shear

Drag, deformation and lateral migration of a buoyant drop moving near a wall

2003 ◽  
Vol 476 ◽  
pp. 115-157 ◽  
Author(s):  
JACQUES MAGNAUDET ◽  
SHU TAKAGI ◽  
DOMINIQUE LEGENDRE
Keyword(s):  
Shear Flow ◽  
Drag Force ◽  
Slip Velocity ◽  
Vertical Wall ◽  
Lateral Migration ◽  
Linear Shear ◽  
Horizontal Wall ◽  
And Migration ◽  
Comparable Magnitude

The problem of a drop of arbitrary density and viscosity moving close to a vertical wall under the effect of buoyancy is analysed theoretically. The case where the suspending fluid is at rest far from the drop and that of a linear shear flow are both considered. Effects of inertia and deformation are assumed to be small but of comparable magnitude, so that both of them contribute to the lateral migration of the drop. Expressions for the drag, deformation and migration valid down to separation distances from the wall of a few drop radii are established and discussed. Inertial and deformation-induced corrections to the drag force and slip velocity of a buoyant drop moving in a linear shear flow near a horizontal wall are also derived.

scholarly journals Drag and lift forces on a rigid sphere immersed in a wall-bounded linear shear flow

2021 ◽  
Vol 6 (10) ◽  
Author(s):  
Pengyu Shi ◽  
Roland Rzehak ◽  
Dirk Lucas ◽  
Jacques Magnaudet
Keyword(s):  
Shear Flow ◽  
Rigid Sphere ◽  
Bounded Linear ◽  
Linear Shear ◽  
Lift Forces ◽  
Drag And Lift

Drag and lift forces on a spherical particle moving on a wall in a shear flow at finite Re

2010 ◽  
Vol 657 ◽  
pp. 89-125 ◽  
Author(s):  
HYUNGOO LEE ◽  
S. BALACHANDAR
Keyword(s):  
Reynolds Number ◽  
Shear Flow ◽  
Hydrodynamic Forces ◽  
Immersed Boundary ◽  
Bounded Linear ◽  
Number Range ◽  
Linear Shear ◽  
Present Composite ◽  
Lift Forces ◽  
Drag And Lift

Recent research (Zeng, PhD thesis, 2007; Zeng et al., Phys. Fluids, vol. 21, 2009, art. no. 033302) has shown that both the shear- and wall-induced lift contributions on a particle sharply increase as the gap between the wall and the particle is decreased. Explicit expressions that are valid over a range of finite Re were obtained for the drag and lift forces in the limiting cases of a stationary particle in wall-bounded linear flow and of a particle translating parallel to a wall in a quiescent ambient. Here we consider the more general case of a translating and rotating particle in a wall-bounded linear shear flow where shear, translational and rotational effects superpose. We have considered a modest Reynolds number range of 1–100. Direct numerical simulations using immersed boundary method were performed to systematically figure out the characteristics of hydrodynamic forces on a finite-sized particle moving while almost in contact with a wall. We present composite correlation for the hydrodynamic forces which are in agreement with all the available low-Reynolds-number theories.

The lift on a small sphere in wall-bounded linear shear flows

1993 ◽  
Vol 246 ◽  
pp. 249-265 ◽  
Author(s):  
John B. McLaughlin
Keyword(s):  
Shear Flow ◽  
Closed Form ◽  
Lift Force ◽  
Closed Form Solution ◽  
Analytical Form ◽  
Form Solution ◽  
Rigid Sphere ◽  
Small Sphere ◽  
Bounded Linear ◽  
Linear Shear

This paper presents a closed-form solution for the inertial lift force acting on a small rigid sphere that translates parallel to a flat wall in a linear shear flow. The results provide connections between results derived by other workers for various limiting cases. An analytical form for the lift force is derived in the limit of large separations. Some new results are presented for the disturbance flow created by a small rigid sphere translating through an unbounded linear shear flow.

scholarly journals Hydrodynamic forces on a clean spherical bubble translating in a wall-bounded linear shear flow

2020 ◽  
Vol 5 (7) ◽  
Author(s):  
Pengyu Shi ◽  
Roland Rzehak ◽  
Dirk Lucas ◽  
Jacques Magnaudet
Keyword(s):  
Shear Flow ◽  
Hydrodynamic Forces ◽  
Bounded Linear ◽  
Spherical Bubble ◽  
Linear Shear

scholarly journals Fluid-Structure Energy Transfer of a Tensioned Beam Subject to Vortex-Induced Vibrations in Shear Flow

2011 ◽  
Author(s):  
Remi Bourguet ◽  
Michael S. Triantafyllou ◽  
Michael Tognarelli ◽  
Pierre Beynet
Keyword(s):  
Energy Transfer ◽  
Shear Flow ◽  
Cross Flow ◽  
Reynolds Numbers ◽  
Structural Vibrations ◽  
Fluid Structure ◽  
Vortex Induced Vibrations ◽  
Linear Shear ◽  
Structural Responses ◽  
Lock In

The fluid-structure energy transfer of a tensioned beam of length to diameter ratio 200, subject to vortex-induced vibrations in linear shear flow, is investigated by means of direct numerical simulation at three Reynolds numbers, from 110 to 1,100. In both the in-line and cross-flow directions, the high-wavenumber structural responses are characterized by mixed standing-traveling wave patterns. The spanwise zones where the flow provides energy to excite the structural vibrations are located mainly within the region of high current where the lock-in condition is established, i.e. where vortex shedding and cross-flow vibration frequencies coincide. However, the energy input is not uniform across the entire lock-in region. This can be related to observed changes from counterclockwise to clockwise structural orbits. The energy transfer is also impacted by the possible occurrence of multi-frequency vibrations.

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.

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