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<p>The current research explores the axis-symmetric rotary oscillation of a sphere in an incompressible Jeffery fluid. It utilizes the traditional no-slip boundary condition on the spherical boundary and the regularity condition for fluid velocity far away from the sphere. The motion of the fluid is caused by rotating oscillations of the sphere around an axis passing through its center. A constant magnetic field is applied in the azimuthal direction. By Stokesian assumption nonlinear convective terms are neglected from the equation of motion. Velocity field is represented interms of Gegenbauer and modified first and second kind’s Bessel functions for the inner and outer flows. The swirl function is used to represent the velocity field within and outside the sphere. The analytical equations for the pressure and couple experienced by the sphere is obtained. Exact solutions are found, and the findings are shown using graphs and results are interpreted on physical grounds. </p>

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Analytical investigations of the hydrodynamic behavior of fluid with rotary oscillations permeable sphere in Jeffery fluid under magnetic field

  • 期刊论文

  • 发表日期：

    2025年5月17日

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  • P. Aparna,
  • G. Nagaraju,
  • Krishna Murthy Kuruva

摘要

The current research explores the axis-symmetric rotary oscillation of a sphere in an incompressible Jeffery fluid. It utilizes the traditional no-slip boundary condition on the spherical boundary and the regularity condition for fluid velocity far away from the sphere. The motion of the fluid is caused by rotating oscillations of the sphere around an axis passing through its center. A constant magnetic field is applied in the azimuthal direction. By Stokesian assumption nonlinear convective terms are neglected from the equation of motion. Velocity field is represented interms of Gegenbauer and modified first and second kind’s Bessel functions for the inner and outer flows. The swirl function is used to represent the velocity field within and outside the sphere. The analytical equations for the pressure and couple experienced by the sphere is obtained. Exact solutions are found, and the findings are shown using graphs and results are interpreted on physical grounds.