Abstract
A viscous electrically conducting fluid is considered and its steady mixed convective flow along a vertical stretching cylinder is investigated. It is assumed that the cylinder is embedded in a porous medium and, external magnetic field, heat source/sink are also taken into account. Suitable similarity transformations are used to reduce the governing equations and associated boundary conditions into a system of nonlinear ordinary differential equations. This system along with the boundary conditions is solved by fourth order Runge-Kutta method with shooting technique. Variations in fluid velocity and temperature due to various physical parameters such as heat source/sink parameter, mixed convection parameter, magnetic parameter are presented through graphs. Effect of these parameters on dimensionless shear stress and rate of heat transfer are discussed numerically through tables.
Highlights
MHD mixed convective low along a stretching vertical cylinder has many applications in areas such as heat exchangers, geothermal power generation, nuclear reactors, drilling operations, insulation system and plastic products formation, polymer processing units, etc.Mixed convection with heat source/sink along a vertical stretching cylinder has been investigated by a few researchers compared to the horizontal stretching cylinder. Crane Crane (1970) was the irst who considered low past a stretching plate
The dimensionless rate of heat transfer at the surface increases with increasing Prandtl number, curvature parameter, permeability parameter and it decreases for enhancing heat generation/absorption parameter, magnetic parameter and mixed convection parameter
The low ield is manifested with heat source/sink, external magnetic ield and porous medium
Summary
MHD mixed convective low along a stretching vertical cylinder has many applications in areas such as heat exchangers, geothermal power generation, nuclear reactors, drilling operations, insulation system and plastic products formation, polymer processing units, etc. Steady mhd mixed convection newtonian luid low along a vertical stretching cylinder embedded in porous medium. Effects of heat source and porous medium on MHD free convective low over a horizontal stretching cylinder were analyzed by Yadav and Sharma Yadav et al (2014). MHD boundary layer slip low over a permeable stretching cylinder was explained by Reddy and Das Reddy and Das (2016) In their research they included chemical reaction and investigated by arti icial neural network. Afterwards Vinita and Poply Vinita (2019) discussed steady MHD nano luid slip low past a stretching cylinder with heat generation. They explained thermophoresis and Brownian motion effects on the low and heat, mass transfer.
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