Magnetohydrodynamics effect on convective boundary layer flow and heat transfer of viscoelastic micropolar fluid past a sphere

Abstract

Abstract.The main interest of this study is to investigate the effect of MHD on the boundary layer flow and heat transfer of viscoelastic micropolar fluid. Governing equations are transformed into dimensionless form in order to reduce their complexity. Then, the stream function is applied to the dimensionless equations to produce partial differential equations which are then solved numerically using the Keller-box method in Fortran programming. The numerical results are compared to published study to ensure the reliability of present results. The effects of selected physical parameters such as the viscoelastic parameter, K, micropolar parameter, K1 and magnetic parameter, M on the flow and heat transfer are discussed and presented in tabular and graphical form. The findings from this study will be of critical importance in the fields of medicine, chemical as well as industrial processes where magnetic field is involved.

Flow Analysis on Boundary Layer of Porous Horizontal Circular Cylinder Filled by Viscoelastic-Micropolar Fluid

“…The illustration of the physical model is shown in Figure 1 where is the circumference measurement of the cylinder from the lower stagnation point. The velocity of ambient fluid is taking as The present model is governed by a set of partial differential equation in dimensional form where included continuity, momentum, and micropolar equations [22,23,27] (1)…”

“…Nadeem and Abbas [26] then extending the study by considering MHD and thermal slip effect on three-dimensional stagnation point of micropolar hybrid nanofluid past a circular cylinder. Later, Aziz et al, [27] investigate the microrotation that occurs on viscoelastic fluid study the flow and heat transfer of MHD boundary layer flow of viscoelastic micropolar fluid past a sphere. The study shows that viscoelastic parameter significantly effecting the fluid characteristic with the increases of viscoelastic parameter increase the temperature profile but decrease in term of velocity, skin friction and heat transfer at the wall.…”

Mixed Convection Boundary Layer Flow on a Solid Sphere in a Nanofluid with the Presence of Viscous Dissipation

“…al., (2010a; 2010b)who extended this study to a micropolar fluid with different boundary conditions, namely the constant wall temperature, constant heat flux, and the Newtonian heating, respectively. Recent works in the same topic include Mohamed et al (2016), Aziz et. al., (2017), Ashraf et.…”