Viscous dissipation, Ohmic heating and radiation effects on MHD flow past a rotating disk embedded in a porous medium with variable properties

Abstract

The present work investigates the effects of viscous dissipation and Ohmic heating on steady MHD convective flow due to a porous rotating disk taking into account the variable fluid properties (density (ρ) viscosity (μ) and thermal conductivity (κ)) in the presence of Hall current and thermal radiation. These properties are taken to be dependent on temperature. The partial differential equations governing the problem under consideration are reduced to a system of BVP ordinary differential equations by using similarity transformations which are solved numerically using the successive linearization method. Comparisons with previously published works are performed to test the validity of the obtained results. The effects of different parameters on the velocity as well as temperature are depicted graphically and are analyzed in detail and the numerical values of the skin friction and the rate of heat transfer are entered in tables.

Numerical investigation of magnetic nanofluids flow over rotating disk embedded in a porous medium

“…For unsteady flow problem, the term (δ/n)(dδ/dt) should not be dropped from the eqs. (15)- (17). Considering the usual scaling factor for various unsteady BLF [35]:…”

“…Introducing (18) in eqs. (15)- (17), respectively, we have the following dimensionless non-linear ODE:…”

“…Uddin et al [16] studied the non-linear Rosseland radiation effect on BLF of a viscous nanofluid embedded in the porous medium. Khidir [17] investigated the effects of viscous dissipation and Ohmic heating on steady MHD convective flow due to a porous rotating disk taking into account the variable fluid properties (density, viscosity, and thermal conductivity) in the presence of Hall current and thermal radiation. These properties are taken to be dependent on temperature.…”

Effects of Variable Viscosity and Variable Thermal Conductivity on Hydromagnetic Dusty Fluid Flow Due to a Rotating Disk

“…o Magnetic Reynolds number is assumed to be so small therefore the induced magnetic field is negligible (Sutton (1965)). Under these assumptions together with Devi and Devi (2011), Khidir (2013), Boussinesq approximations and following Saffman (1962) model of dusty gas the governing equations are:…”

“…Palani and Kim (2010) obtained the approximate solution for the flow of a dusty-gas along a semi-infinite vertical cylinder. Gireesha et al (2011;2012;2013) discussed interesting results on the flow of dusty fluid due to linear and exponential stretching of porous and nonporous sheet with various effects like radiation, source/sink parameter, viscous dissipation etc. Manjunatha (2015) studied the effect of radiation on MHD flow and heat transfer of dusty fluid over a stretching cylinder in a porous medium.…”