Jeffrey Fluid Flow due to the Rotation of a Permeable Sphere Under Constant Magnetic Field
Abstract
The current study holds practical importance for comprehending the magnetic fields effect on particle dynamics in fluidic settings. This study deals with the investigation on slow and a permeable sphere that is rotating steadily in an incompressible, non‐Newtonian Jeffrey fluid. A constant magnetic field is applied in the azimuthal direction. The flow behavior of the Jeffrey fluid over a permeable sphere is considered to understand the impact of the microstructure of fluid, permeability of the sphere, and magnetic field. The classical no‐slip boundary condition is prescribed on the sphere′s surface. The regularity criterion for the flow velocity at large distances from the sphere is assumed. A rotational flow function is introduced to characterize the flow velocity inside and outside the sphere, and the exact solution is found in terms of the swirl function. Analytical expression for the couple acting on the sphere due to external flow is derived. The study of Jeffrey fluid flow over a spinning permeable sphere in a steady magnetic field shows that the swirl velocity goes up as the azimuthal angle and Reynolds number go up, but it goes down as the Jeffery parameter and magnetic field strength go up. This is because of viscoelastic and Lorentz force effects. The study further shows that magnetic and viscoelastic parameters have a greater influence on the flow behavior than inertial effects. The innovative aspect of the present work is associated with the combined investigation of rotation, permeability, and magnetohydrodynamic effects on Jeffrey fluid flow over a spherical geometry, which has not been comprehensively addressed in existing studies.