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An analytical study of couple stress fluid through a sphere with an influence of the magnetic field

Krishna Prasad Madasu, Sarkar Priya

Journal of Applied Mathematics and Computational Mechanics

2022

Vol. 21, nr 3

99--110

The present work concerns to study of the steady, axisymmetric slow flow of couple stress fluid through a rigid sphere in the transverse magnetic field. Boundary conditions on the sphere surface are the zero couple stress condition and tangential slip condition. The stream function, vorticity vector, and pressure term are obtained. The drag acting on the sphere in the presence of MHD is calculated. Here, we graphically represented the Hartmann number, couple stress, and slip parameters effect on the drag coefficient. Some well-known results of the drag are deduced.