In this paper, the problem of steady quadratic Stokes flow past a deformed sphere has been tackled with the use of a novel perturbation technique in both situations when a uniform stream is along the axis of symmetry (axial flow) and when it is perpendicular to the axis of symmetry (transverse flow). The most general form of the deformed sphere, governed by polar equation, is considered here for the study. The general expressions for axial and transverse Stokes drag for deformed sphere has been derived up to the second order of deformation parameter for parabolic and stagnation like parabolic flow. The class of prolate, oblate and egg-shaped axisymmetric bodies is considered for the validation and further numerical discussions. The numerical values of the drag coefficients and their ratio have been evaluated for the various values of deformation parameters, eccentricity and aspect ratio and corresponding variations are depicted via graphs.
Srivastava, Deepak K.; Srivastava, Nirmal; and Yadav, Raja R.
Steady Quadratic Stokes Flow Past Deformed Sphere: A Novel Perturbation Technique,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 9,
2, Article 17.
Available at: https://digitalcommons.pvamu.edu/aam/vol9/iss2/17