Hydromagnetic boundary layer flow with heat transfer past a rotating disc embedded in a porous medium

Abstract

In this study, the effect of Coriolis force along with the Darcy parameter has been analyzed on time‐dependent forced convective boundary layer flow of conducting fluids over a rotating disc embedded in a porous medium. The modeled system is solved by power series approximations in the Mathematica environment shooted values. The significant impact of the rheological properties, such as Darcy parameter β and Prandtl number italicPr, of water, hydrocarbon, and kerosene‐based conducting fluids for the deviation of parameter ξ (Karman) has been noted and then analyzed qualitatively and quantitatively with graphs and tables.

FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

“…The governing equations (conservation of mass, momentum, and energy) in component form for the time-independent ferrohydrodynamic (FHD) flow 43,44 :…”

“…The governing equations (conservation of mass, momentum, and energy) in component form for the time‐independent ferrohydrodynamic (FHD) flow 43,44 : $$$\frac{\partial u}{\partial r}+\frac{u}{r}+\frac{\partial w}{\partial z}=0,$$$ $$$u\frac{\partial u}{\partial r}+w\frac{\partial u}{\partial z}-\frac{{v}^{2}}{r}=-\frac{1}{\rho }\frac{\partial p}{\partial r}+\frac{{\mu }_{0}}{\rho }| M| \frac{\partial }{\partial r}| H| +\nu \left[\frac{{\partial }^{2}u}{\partial {r}^{2}}+\frac{\partial }{\partial r}\left(\frac{u}{r}\right)+\frac{{\partial }^{2}u}{\partial {z}^{2}}\right]+2{\rm{\Omega }}v-\frac{{\mu }_{\infty }}{\rho K}u,$$$ $$$u\frac{\partial v}{\partial r}+w\frac{\partial v}{\partial z}+\frac{uv}{r}=\nu \left[\frac{{\partial }^{2}v}{\partial {r}^{2}}+\frac{\partial }{\partial r}\left(\frac{v}{r}\right)+\frac{{\pa...$$…”

Mathematical modeling of MHD flow and radiative heat transfer past a moving porous rotating disk with Hall effect

“…Abdel-Wahed and Akl (2016) examined the nanofluid flow over a rotating disk in the presence of non-linear thermal radiation and Hall current with variable fluid properties. Sharma et al . (2021a, b) and Sharma (2021) investigated the boundary layer flow over porous rotating disk embedded in a porous medium using Neuringer–Rosensweig (NR) model.…”

Heat and mass transfer study of hydrocarbon based magnetic nanofluid (C1-20B) with geothermal viscosity

“…Frusteri and Osalusi 4 analyzed the magnetohydrodynamics flow caused by a rotating disk, taking the temperature dependent fluid properties. Moreover, the research work on the fluid flow with different characteristics over a rotating disk was published by many authors [5][6][7][8][9][10][11] The depth and temperature dependent viscosity (geothermal viscosity) has many application in the geosciences for which a vanity of research work with geothermal viscosity have been published. Torrance and Turcotte 12 studied the impact of variable viscosity (temperature and depth dependent) on thermal convection in a fluid layer.…”