Journal of Theoretical
and Applied Mechanics

51, 3, pp. 661-673, Warsaw 2013

Steady Oseen's flow past a deformed sphere: an analytical approach

Deepak Kumar Srivastava, Raja Ram Yadav, Supriya Yadav
In a recent authors' paper, the general expression of Stokes drag experienced by a deformed sphere in both longitudinal and transverse flow situations was calculated in terms of the deformation parameter up to the second order. In this paper, Oseen's correction to the axial Stokes drag on the deformed sphere is presented by using Brenner's formula in general, first and then applied to prolate and oblate the deformed spheroid up to the second order of the deformation parameter. Numerical values of Oseen's correction is obtained with respect to the deformation parameter and Reynolds number. The corresponding variations are depicted in figures. Some particular cases of a needle shaped body and flat circular disk are considered and found to be in good agreement with those existing in the literature. The important applications are also highlighted.
Keywords: Stokes drag; Oseen's drag; axially symmetric arbitrary body; axial flow.