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.
Highlights
Most of the time Hall current was ignored in applying Ohm’s law because it has no extraordinary effect for small and average values of the magnetic field
The important engineering applications for MHD boundary layer flows with heat transfer including the effects of Hall current are encountered in MHD power generators and pumps, Hall accelerators, refrigeration coils, electric transformers, in flight MHD, solar physics involved in the sunspot development, the solar cycle, the structure of magnetic stars, electronic system cooling, cool combustors, fibre and granular insulation, oil extraction, thermal energy storage and flow through filtering devices and porous material regenerative heat exchangers
Some interesting studies regarding the effects of Hall current on MHD boundary layer flow are as follows: Zaman [2] recently examined the effects of Hall current on the unsteady incompressible MHD fluid flow with slip conditions and porous walls
Summary
Most of the time Hall current was ignored in applying Ohm’s law because it has no extraordinary effect for small and average values of the magnetic field. The recent research for the applications of MHD is towards a strong magnetic field, due to which study of Hall current is very important. (2014) Effects of Hall Current on MHD Boundary Layer Second-Order Viscoelastic Fluid Flow Induced by a Continuous Surface with Heat Transfer. Ayub et al [3] considered the effects of Hall current on hydromagnetic flow and heat transfer in a second grade fluid over a stretching sheet. The effects of Hall current on unsteady MHD flows of a second grade fluid are studied by Ahmad et al [4]. The present paper is devoted to study the effects of Hall current on heat transfer and MHD boundary layer flow induced by a continuous surface in a parallel free stream of a second-order viscoelastic fluid. Tables are constructed to discuss the effects of Hall current on magnitude of shear stress at the surface and rate of heat transfer at the surface for suction/injection
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
