On the Stokes resistance of two equal spheres in contact in a linear shear field

1972 ◽  
Vol 27 (11) ◽  
pp. 2017-2028 ◽  
Author(s):  
Samir R. Majumdar ◽  
Michael E. O'Neill
Keyword(s):  
Shear Field ◽  
Linear Shear

Deformation and burst of a liquid droplet freely suspended in a linear shear field

1973 ◽  
Vol 61 (1) ◽  
pp. 1-22 ◽  
Author(s):  
D. Barthès-Biesel ◽  
A. Acrivos
Keyword(s):  
Numerical Solutions ◽  
Liquid Droplet ◽  
Theoretical Method ◽  
Creeping Flow ◽  
Linear Stability Theory ◽  
Flow Equations ◽  
Shear Field ◽  
Linear Shear ◽  
Freely Suspended ◽  
Theoretical Results

A theoretical method is presented for predicting the deformation and the conditions for breakup of a liquid droplet freely suspended in a general linear shear field. This is achieved by expanding the solution to the creeping-flow equations in powers of the deformation parameter ε and using linear stability theory to determine the onset of bursting. When compared with numerical solutions and with the available experimental data, the theoretical results are generally found to be of acceptable accuracy although, in some cases, the agreement is only qualitative.

On the creeping motion of two arbitrary-sized touching spheres in a linear shear field

1973 ◽  
Vol 59 (2) ◽  
pp. 209-223 ◽  
Author(s):  
Avinoam Nir ◽  
Andreas Acrivos
Keyword(s):  
Entire Range ◽  
Stokes Equations ◽  
Material Point ◽  
Shear Field ◽  
Bulk Stress ◽  
Linear Shear ◽  
Dilute Suspension ◽  
Freely Suspended ◽  
The Individual ◽  
Creeping Motion

The Stokes equations describing the creeping motion of two arbitrary-sized touching spheres are solved exactly through the use of tangent-sphere coordinates. For the case of a linear shear field at infinity, explicit results covering the entire range of size ratios are presented for: (a) the forces and torques on the aggregate; (b) the hydrodynamic forces on the individual spheres comprising a freely suspended aggregate, which are in general non-zero; (c) the contribution of the pair to the bulk stress of a dilute suspension; and (d) under free suspension conditions, the velocity of any material point relative to that of the undisturbed flow.

On the Stokes resistance of multiparticle systems in a linear shear field

1972 ◽  
Vol 27 (7) ◽  
pp. 1421-1439 ◽  
Author(s):  
Howard Brenner ◽  
Michael E. O'Neill
Keyword(s):  
Shear Field ◽  
Linear Shear ◽  
Multiparticle Systems

Flower-like Photonic Hydrogel with Superstructure Induced via Modulated Shear Field

2021 ◽  
pp. 708-713
Author(s):  
Ya Nan Ye ◽  
Md Anamul Haque ◽  
Akane Inoue ◽  
Yoshinori Katsuyama ◽  
Takayuki Kurokawa ◽  
...  
Keyword(s):  
Shear Field

The anti-plane shear field in an infinite slab of elasto-damaged material with a semi-infinite crack

1991 ◽  
Vol 7 (4) ◽  
pp. 351-359 ◽  
Author(s):  
Hao Tianhu ◽  
Zhang Xiaoti ◽  
Hwang Kehchih
Keyword(s):  
Plane Shear ◽  
Shear Field ◽  
Damaged Material ◽  
Infinite Slab

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.

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