Abstract

The present study investigates the radiation effects in flow through porous medium over a permeable rotating disk with velocity slip and temperature jump. Fluid properties density(ρ), viscosity(μ), and thermal conductivity(κ)are taken to be dependent on temperature. Particular case considering these fluid properties’ constant is also discussed. The governing partial differential equations are converted into nonlinear normal differential equation using similarity alterations. Transformed system of equations is solved numerically by using Runge-Kutta method with shooting technique. Effects of various parameters such as porosity parameterK, suction parameterWs, rotational Reynolds number Re, Knudsen number Kn, Prandtl number Pr, radiation parameterN, and relative temperature difference parameterεon velocity profiles along radial, tangential, and axial direction and temperature distribution are investigated for both variable fluid properties and constant fluid properties. Results obtained are analyzed and depicted through graphs and table.

Highlights

  • The study of rotating disk flows of electrically conducting fluids has practical applications in many areas, such as rotating machinery, lubrication, computer storage devices, oceanography, viscometry, and crystal growth processes

  • The unsteady magnetohydrodynamic (MHD) squeezing flow between two parallel disks is considered by Azimi and Riazi [14]; they have used Galerkin optimal homotopy asymptotic method (GOHAM) to solve the problem

  • Khidir [25] investigated the effects of viscous dissipation and ohmic heating on steady MHD convective flow due to porous rotating disk taking into account the variable fluid properties

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Summary

Introduction

The study of rotating disk flows of electrically conducting fluids has practical applications in many areas, such as rotating machinery, lubrication, computer storage devices, oceanography, viscometry, and crystal growth processes. Osalusi [24] studied the combined hydromagnetic and slip flow of a steady, laminar conducting viscous fluid in the presence of thermal radiation due to an impulsively started rotating porous disk with the variable fluid properties. Khidir [25] investigated the effects of viscous dissipation and ohmic heating on steady MHD convective flow due to porous rotating disk taking into account the variable fluid properties. Rashidi et al [39, 40] analyzed entropy generation in a MHD flow over a rotating porous disk with variable physical properties They have investigated fluid flow over a permeable rotating disk in the presence of Soret and Dufour effect. The main goal of the present study is to investigate radiation effects in the steady flow over a rotating permeable disk in porous medium with velocity slip and temperature jump. Combined effects for both variable and constant fluid properties for various physical parameters on flow and heat transfer have been obtained and depicted graphically, which gives more insight about fluid flow (Figure 1)

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