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In this paper, Oseen’s correction to Stokes drag experienced by axially   symmetric particle placed in a uniform stream perpendicular to axis of   symmetry(i.e. transverse flow) is obtained. For this, the linear relationship   between axial and transverse Stokes drag is utilized to extend the Brenner’s   formula for axial flow to transverse flow. General expression of Oseen’s   correction to Stokes drag on axially symmetric particle placed in transverse   flow is found to be new. This general expression is applied to some known   axially symmetric bodies and obtained values of Oseen’s drag, up to first   order terms in Reynolds number ‘R’, are also claimed to be new and never   exist in the literature. Numerical values of Oseen drag are also evaluated   and their variations with respect to Reynolds number, eccentricity and   deformation parameter are depicted in figures and compared with some known   values. Some important applications are also highlighted

Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach