Unsteady Stokes Flow Past a Shear Free Sphere

Authors

DOI:

https://doi.org/10.26713/cma.v13i2.1817

Keywords:

Unsteady Stokes flow, Shear free sphere, Faxén relations

Abstract

A method of solution for the problem of an arbitrary unsteady Stokes flow in the presence of a shear free sphere is discussed. The corresponding Faxén [2] relations for a shear-free sphere are derived. Some previously known results are derived as limiting cases and are detailed in an example.

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References

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H. Faxén, Der Widerstand gegen die Bewegung einer starren Kugel in einer zähen Flüssigkeit, die zwischen zwei parallelen Ebenen Wänden eingeschlossen ist, Arkiv fur Matematik Astronomi Och. Fysik 18 (29) (1924), 1 – 52; Der Widerstand gegen die Bewegung einer starren Kugel in einer zähen Flüssigkeit, die zwischen zwei parallelen Ebenen Wänden eingeschlossen ist, Annalen der Physik 68 (1922), 89 – 119, DOI: 10.1002/andp.19223731003.

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J.M. Rallison, Note on the Faxén relations for a particle in Stokes flow, Journal of Fluid Mechanics 88(3) (1978), 529 – 533, DOI: 10.1017/S0022112078002256.

A. Venkatalaxmi, B.S. Padmavathi and T. Amaranath, A general solution of unsteady Stokes equations, Fluid Dynamics Research 35(3) (2004), 229 – 236, DOI: 10.1016/j.fluiddyn.2004.06.001.

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Published

17-08-2022
CITATION

How to Cite

Venkatalakshmi, A. (2022). Unsteady Stokes Flow Past a Shear Free Sphere. Communications in Mathematics and Applications, 13(2), 501–505. https://doi.org/10.26713/cma.v13i2.1817

Issue

Vol. 13 No. 2 (2022)

Section

Research Article

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