Polarization force and geothermal viscosity driven unsteady Bödewadt transport phenomenon over a ferrofluid saturated disk

Abstract

This work aims to investigate mass transport phenomena on time dependent Bödewadt flow of magnetic Nanoliquid embedded in the porous medium with vertical polarization force and geothermal viscosity variations. The resultant nonlinear coupled system of partial differential equations is solved numerically. For thorough understanding of flow and transport phenomenon, a wider range of Prandtl number is taken to analyze the effects of various physical entities including polarization force, geothermal viscosity, permeability and rotation. Eventually, some new marvels are found. The diffusion rate enhances significantly for higher values of Prandtl, Schmidt numbers and the boundary layer thickness decimates with all parameters except depth dependent viscosity. Besides, frictions on the surface of the plate have also been computed and found them very high for all above mentioned entities. In nutshell, to have the realistic view, this investigation reveals that the polarization force and viscosity variation due to the temperature and depth have imperative role on the unsteady transport phenomenon in ferrofluid flow.