Effects of Hall current and magnetic field inclination on hydromagnetic natural convection flow in a micro-channel with asymmetric thermal boundary condition

[+] Author and Article Information
Basant Kumar Jha

samaru Zaria, +234 Nigeria pemaths2016@gmail.com

Peter B. Malgwi

samaru Zaria, Kaduna +234 Nigeria bumalpeter@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Thermal Science and Engineering Applications. Manuscript received February 6, 2019; final manuscript received July 7, 2019; published online xx xx, xxxx. Assoc. Editor: Dr. Ali J. Chamkha.

ASME doi:10.1115/1.4044350 History: Received February 06, 2019; Accepted July 07, 2019


This study examines the impact of induced magnetic field and Hall current on steady fully developed hydromagnetic natural convection flow in a micro-channel under the action of an inclined magnetic field. The mathematical model responsible for the present physical situation are presented in dimensionless form under relevant boundary conditions. The governing coupled equations are solved exactly. A parametric study of some physical parameters is conducted and a representative set of numerical results for the velocity field, the induced magnetic field, induced current density, volume flow rate and skin-friction on the micro-channel surfaces are illustrated graphically. It is observed that magnetic field inclination plays an important role in flow formation inside the micro-channel. Numerical computation reveals that increase in inclination angle reduces the hydromagnetic drag leading to enhancement in primary fluid velocity while impact is just converse on the secondary fluid velocity. Furthermore, increase in Hall current parameter increases the magnitude of the fluid velocity in both primary and secondary flow directions.

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