Effects of Hall Current on MHD Boundary Layer Second-Order Viscoelastic Fluid Flow Induced by a Continuous Surface with Heat Transfer

Abstract

Effects of Hall current on heat transfer and magnetohydrodynamic (MHD) boundary layer flow induced by a continuous surface in a parallel free stream of a second-order viscoelastic fluid are studied for uniform suction/injection by taking viscous dissipation into account. Complex nonsimilar solutions to the stream function and temperature are developed by means of an elegant technique, known as homotopy analysis method (HAM). Convergence of the solutions is ensured with the help of  -curves. Graphical and tabular results for the effects of Hall current reveal that it has a significant influence on: complex velocity, complex temperature, magnitude of the shear stress at the surface, magnitude of the rate of heat transfer at the surface and on boundary layer thickness.

Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System

“…Moreover, Seth and Mahato [13] put special emphasis on the effect of Hall current on mass and heat transfer characteristics. Other researchers who have reported similar investigation include Ghosh et al [14], Zaman, Shah, Khan and Javed [15]. Comprehensive reviews of nanofluids convective transports can be found in Mintsa, Roy, Nguyen and Doucet [16], Kakac and Pramuanjaroenkij [17], Trisaksri and Wongwise [18], to mention just a few.…”

Hall current and joule heating effects on free convection flow of a nanofluid over a vertical cone in presence of thermal radiation

“…The Hall current effects are very important for the applications of MHD is towards a strong magnetic field, because for strong magnetic field electromagnetic force is prominent and it has a marked effect on the magnitude and direction of the current density and consequently on the magnetic force term. Also it is more realistic to include Ohmic heating to explore the effect of the magnetic field on thermal transport in the boundary-layer [21,22]. Abo-Eldahab and El Aziz [23] analyzed the laminar mixed convection boundary-layer flow on a constantly rotating cone of an electrically conducting micropolar fluid and the effects of Hall current and Ohmic heating were considered.…”

“…The Hall effect and temperature dependent physical properties for the transient generalized Couette flow and heat transfer through a porous medium between two parallel plates was studied by [24,25]. Zaman et al [22], used the homotopy analysis method (HAM) to study the effects of Hall current on MHD boundary-layer flow induced by a continuous surface with heat transfer in a parallel free stream of a secondorder viscoelastic fluid.…”