Unsteady motion of two solid spheres in Stokes flow

@inproceedings{Ardekani2006UnsteadyMO,
  title={Unsteady motion of two solid spheres in Stokes flow},
  author={Arezoo Motavalizadeh Ardekani and Roger H. Rangel},
  year={2006}
}
This study is concerned with the unsteady motion of two solid spherical particles in an unbounded incompressible Newtonian flow. The background flow is uniform and can be time dependent. In addition, the particle Reynolds numbers 2aVa / and 2bVb / , based on characteristic particles velocities Va and Vb, are assumed to remain small throughout the motion. Here, a and b denote the particle radii and is the kinematic viscosity of the fluid. Two approximate methods are employed in order to… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 12 references

Hydrodynamically interacting droplets at small Reynolds numbers

P. Mazur
Int . J . Multiphase Flow • 2005

A general solution of unsteady Stokes equations

J. Magnaudet D. Legendre, G. Mougin
Fluid Dyn . Res . • 2004

Hydrodynamic interactions between two spherical bubbles rising side by side in a viscous liquid

S. Elghobashi Kim, W. Sirignano
J . Fluid Mech . • 2003

Fluid field due to many - body hydrodynamic interactions

P. Schram
Physica A • 2001

Three - dimensional flow over two spheres placed side by side

S. Zaripov
J . Fluid Mech . • 1993

Calculation of the resistance and mobility functions for two unequal rigid spheres in lowReynoldsnumber flow

R. Majumdar
J . Fluid Mech . • 1984

The Faxen formulae for a rigid particle in an unsteady non - uniform Stokes flow

T. Amaranath
J . Mec . Theor . Appl . • 1983

Mean value and correlation problems connected with the motion of small particles suspended in a turbulent flow

S. Weinbaum S. Leichtberg, R. Pfeffer
1947

A study of unsteady forces at low Reynolds number

J. J. Riley
Philos . Trans . R . Soc . London , Ser . A

General solution of the particle momentum equation in unsteady Stokes flows

R. Rangel
J . Fluid Mech .

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