The Force on a Magneto-spherical Particle Oscillating in a viscous Fluid Perpendicular to an Impermeable Planar Wall with Slippage
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i3.4442Keywords:
Viscous Fluid, Magnetic field, Oscillating Sphere, Slip Length Scale, Collocation Method, Method of multiple scalesAbstract
The effect of a magnetic field and slip on the motion of a solid sphere moving perpendicular to an unbounded rigid wall in an unlimited viscous fluid is investigated. As the sphere vibrates perpendicularly to the rigid wall, its center line is accompanied by a low amplitude vibration. A slip condition is applied to the sphere surface, while a no-slip dynamic condition is applied to the wall. Additionally, a semi-analytical method and a numerical scheme using collocation are presented. Furthermore, we calculate the amplitude of the non-dimensional coefficients of drag force acting on the solid sphere using various values of frequency, separation, and magnetic parameters. In addition, streamlines are plotted. The results of the magnitude normalized drag force are compared with those in previous literature.
Downloads
Published
License
Copyright (c) 2022 European Journal of Pure and Applied Mathematics
![Creative Commons License](http://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.