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Exact solution for non-newtonian fluid flow beyond a contaminated fluid sphere

Kunche Vijaya Lakshmi, Meduri Phani Kumar

Engineering Transactions

2022

Vol. 70, iss. 3

287--299

Stokes flow of non-Newtonian fluid beyond a partially contaminated non-Newtonian fluid sphere with interfacial slip condition is considered. An analytic solution for the flow fields indicated by the stream function and the drag force over the sphere was obtained. Special well-known cases are reduced. It was observed that with an increase in slip parameter values, there is a rise in drag coefficient values.

Drag on a permeable sphere placed in a micropolar fluid with non-zero boundary condition for microrotations

Mishra V., Gupta B. R.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 3

97--109

This paper concerns an analytical study of an infinite expanse of uniform flow of steady axisymmetric creeping flow of an incompressible micropolar fluid around the permeable sphere assuming a nonhomogeneous boundary condition for microrotation vector. It is assumed that microrotation vector is proportional to the rotation rate of velocity vector. The stream function solutions for the flow fields are obtained in the terms of modified Bessel’s functions and Gegenbauer functions. Continuity of normal velocity, no-slip condition, non-zero microrotation vector on the sphere, uniform velocity at infinity are the different boundary conditions used to determine the flow fields explicitly. The microrotation component, pressure field, bounds of permeability parameter and drag force experienced by the permeable sphere are calculated. Dependence of the drag force on different fluid parameters is presented graphically and discussed. It is found that drag force decreases with increasing spin parameter. Several cases of interest are deduced from the present analysis.