Stokes Drag on Axi-symmetric Bodies in Variety of Flows

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Stokes Drag on Axi-symmetric Bodies in Variety of Flows

August 22, 2020 Mathematics and Computer Science 0

In this paper, exact closed form solutions of Stokes drag on prolate spheroid and perturbed prolate spheroid
(deformed sphere) placed in variety of flows like longitudinal shear flow, cross-flow with longitudinal or axial
rate of shear, cross-flow with transverse rate of shear is presented with the use of authors previous DS
conjecture [1]. During the calculation of drag in the various situations of shear flow, the expressions of moment
on rotating spheroid calculated by Chwang and Wu [2] is utilized for achieving the purpose. In these cases, drag
values are normalized by 6mpUa, drag on sphere having radius ‘a’, for defining the drag coefficient. The
particular case of drag on slender elongated body is also highlighted. Variation of drag coefficients in various
flow situations with respect to eccentricity, aspect ratio and deformation parameter are described through graphs
and compared with some known values.

Author(s) Details
Dr. Deepak Kumar Srivastava
Department of Mathematics, B.S.N.V. Post Graduate College, University of Lucknow, Station Road, Charbagh, Lucknow (U.P.) – 226001,
India

Nirmal Srivastava
Department of Mathematics, B.S.N.V. Post Graduate College, University of Lucknow, Station Road, Charbagh, Lucknow (U.P.) – 226001, India.

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