scholarly journals Angular velocity of a sphere in a simple shear at small Reynolds number

2016 ◽  
Vol 1 (8) ◽  
Author(s):  
J. Meibohm ◽  
F. Candelier ◽  
T. Rosén ◽  
J. Einarsson ◽  
F. Lundell ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Angular Velocity ◽  
Simple Shear ◽  
Small Reynolds Number

Closed-streamline flows past rotating single cylinders and spheres: inertia effects

1975 ◽  
Vol 72 (4) ◽  
pp. 605-623 ◽  
Author(s):  
G. G. Poe ◽  
Andreas Acrivos
Keyword(s):  
Reynolds Number ◽  
Angular Velocity ◽  
Simple Shear ◽  
Reynolds Numbers ◽  
Rotating Cylinder ◽  
Asymptotic Solutions ◽  
Flow Around A Cylinder ◽  
Inertia Effects ◽  
Freely Suspended ◽  
Cylinders And Spheres

The flow around a cylinder and a sphere rotating freely in a simple shear was studied experimentally for moderate values of the shear Reynolds number Re. For a freely rotating cylinder, the data were found to be consistent with the results obtained numerically by Kossack & Acrivos (1974), at least for Reynolds numbers up to about 10. Rates of rotation of a freely suspended sphere were also obtained over the same range of Reynolds numbers and showed that, with increasing Re, the dimensionless angular velocity does not decrease as fast for a sphere as it does for a cylinder. In both cases, photographs of the streamline patterns around the objects were consistent with this behaviour. Furthermore, it was found in each case that the asymptotic solutions for Re [Lt ] 1 derived by Robertson & Acrivos (1970) for a cylinder and by Lin, Peery & Schowalter (1970) for a sphere are not valid for Reynolds numbers greater than about 0.1, and that the flow remains steady only up to values of Re of about 6.

scholarly journals Rotation of a spheroid in a simple shear at small Reynolds number

2015 ◽  
Vol 27 (6) ◽  
pp. 063301 ◽  
Author(s):  
J. Einarsson ◽  
F. Candelier ◽  
F. Lundell ◽  
J. R. Angilella ◽  
B. Mehlig
Keyword(s):  
Reynolds Number ◽  
Simple Shear ◽  
Small Reynolds Number

Small Reynolds Number Electro-Hydrodynamic Flow Around Drops and the Resulting Deformation

1979 ◽  
Vol 46 (3) ◽  
pp. 510-512 ◽  
Author(s):  
M. B. Stewart ◽  
F. A. Morrison
Keyword(s):  
Reynolds Number ◽  
Flow Field ◽  
Order Approximation ◽  
Creeping Flow ◽  
Small Reynolds Number ◽  
Zeroth Order ◽  
Regular Perturbation ◽  
Low Reynolds Number Flow ◽  
Reynolds Number Flow ◽  
Number Flow

Low Reynolds number flow in and about a droplet is generated by an electric field. Because the creeping flow solution is a uniformly valid zeroth-order approximation, a regular perturbation in Reynolds number is used to account for the effects of convective acceleration. The flow field and resulting deformation are predicted.

Drag force on micron-sized objects with different surface morphologies in a flow with a small Reynolds number

2015 ◽  
Vol 47 (8) ◽  
pp. 564-570 ◽  
Author(s):  
Arif Md. Rashedul Kabir ◽  
Daisuke Inoue ◽  
Yuri Kishimoto ◽  
Jun-ichi Hotta ◽  
Keiji Sasaki ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Drag Force ◽  
Small Reynolds Number ◽  
Surface Morphologies

Linear stability of rotating Hagen-Poiseuille flow

1981 ◽  
Vol 108 ◽  
pp. 101-125 ◽  
Author(s):  
Fredrick W. Cotton ◽  
Harold Salwen
Keyword(s):  
Reynolds Number ◽  
Angular Velocity ◽  
Linear Stability ◽  
Poiseuille Flow ◽  
Neutral Stability ◽  
Unstable Region ◽  
Azimuthal Index ◽  
Expansion Technique ◽  
Simple Scaling

Linear stability of rotating Hagen-Poiseuille flow has been investigated by an orthonormal expansion technique, confirming results by Pedley and Mackrodt and extending those results to higher values of the wavenumber |α|, the Reynolds number R, and the azimuthal index n. For |α| [gsim ] 2, the unstable region is pushed to considerably higher values of R and the angular velocity, Ω. In this region, the neutral stability curves obey a simple scaling, consistent with the unstable modes being centre modes. For n = 1, individual neutral stability curves have been calculated for several of the low-lying eigenmodes, revealing a complicated coupling between modes which manifests itself in kinks, cusps and loops in the neutral stability curves; points of degeneracy in the R, Ω plane; and branching behaviour on curves which circle a point of degeneracy.

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