scholarly journals Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field

2018 ◽  
Vol 7 (4) ◽  
pp. 296-307 ◽  
Author(s):  
BasantK. Jha ◽  
Babatunde Aina
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Convection Flow ◽  
Micro Channel ◽  
Induced Magnetic Field ◽  
Natural Convection Flow

Effects of Hall Current and Magnetic Field Inclination on Hydromagnetic Natural Convection Flow in a Micro-Channel With Asymmetric Thermal Boundary Condition

2019 ◽  
Vol 12 (3) ◽  
Author(s):  
Basant K. Jha ◽  
Peter B. Malgwi
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Hall Current ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Micro Channel ◽  
Induced Magnetic Field ◽  
Natural Convection Flow ◽  
The Impact ◽  
Field Inclination

AbstractThis 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 is presented in a 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 the increase in inclination angle reduces the hydromagnetic drag leading to enhancement in primary fluid velocity, while the impact is just converse on the secondary fluid velocity. Furthermore, the increase in Hall current parameter increases the magnitude of the fluid velocity in both primary and secondary flow directions.

scholarly journals Role of Induced Magnetic Field on Transient Natural Convection Flow in a Vertical Channel: The Riemann Sum Approximation Approach

2015 ◽  
Vol 20 (1) ◽  
pp. 65-85
Author(s):  
B.K. Jha ◽  
I. Sani
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Vertical Channel ◽  
Convection Flow ◽  
Induced Magnetic Field ◽  
Natural Convection Flow ◽  
Transient Natural Convection ◽  
Riemann Sum ◽  
Laplace Transform Technique

Abstract This paper investigates the role of induced magnetic field on a transient natural convection flow of an electrically conducting, incompressible and viscous fluid in a vertical channel formed by two infinite vertical parallel plates. The transient flow formation inside the channel is due to sudden asymmetric heating of channel walls. The time dependent momentum, energy and magnetic induction equations are solved semi-analytically using the Laplace transform technique along with the Riemann-sum approximation method. The solutions obtained are validated by comparisons with the closed form solutions obtained for the steady states which have been derived separately and also by the implicit finite difference method. Graphical results for the temperature, velocity, induced magnetic field, current density, and skin-friction based on the semi-analytical solutions are presented and discussed.

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