Effect of magnetic field on natural convection in a vertical cylindrical annulus

2006 ◽  
Vol 44 (20) ◽  
pp. 1556-1570 ◽  
Author(s):  
M. Sankar ◽  
M. Venkatachalappa ◽  
I.S. Shivakumara
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Cylindrical Annulus

Influence of Optical Parameters on Magnetohydrodynamic Natural Convection in a Horizontal Cylindrical Annulus

2019 ◽  
Vol 141 (6) ◽  
Author(s):  
Wei Wang ◽  
Ben-Wen Li ◽  
Zhang-Mao Hu
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Natural Convection ◽  
Outer Cylinder ◽  
Hybrid Approach ◽  
Discrete Ordinates ◽  
Polar Coordinate System ◽  
Optical Parameters ◽  
Downward Flow ◽  
Cylindrical Annulus

The coupled phenomena of radiative–magnetohyrodynamic (MHD) natural convection in a horizontal cylindrical annulus are numerically investigated. The buoyant flow is driven by the temperature difference between the inner and outer cylinder walls, while a circumferential magnetic field induced by a constant electric current is imposed. The hybrid approach of finite volume and discrete ordinates methods (FV-DOM) is developed to solve the nonlinear integro-differential governing equations in polar coordinate system, and accordingly, the influences of Hartmann number, radiation–convection parameter, and optical properties of fluid and wall on thermal and hydrodynamic behaviors of the “downward flow,” originally occurring without consideration of radiation and magnetic field, are mainly discussed. The results indicate that both the circulating flow and heat transfer are weakened by the magnetic field, but its suppression effect on the latter is rather small. Under the influence of magnetic field, the “downward flow” pattern has not been obtained from zero initial condition even for the case of weak radiation of NR = 0.1. Besides, the variation of radiative heat transfer rate with angular positions diminishes for the fluid with strong scattering or weak absorption.

Natural convection of liquid metal in a horizontal cylindrical annulus under radial magnetic field

2015 ◽  
Vol 49 (4) ◽  
pp. 453-461 ◽  
Author(s):  
Hamid Teimouri ◽  
Masoud Afrand ◽  
Nima Sina ◽  
Arash Karimipour ◽  
Amir Homayoon Meghdadi Isfahani
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Liquid Metal ◽  
Radial Magnetic Field ◽  
Cylindrical Annulus

scholarly journals Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption

2020 ◽  
Vol 307 ◽  
pp. 01005
Author(s):  
Jabrane Belabid ◽  
Soufiane Belhouideg
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Natural Convection ◽  
Heat Generation ◽  
Inclination Angle ◽  
Hartmann Number ◽  
Saturated Porous Medium ◽  
Darcy Law ◽  
Cylindrical Annulus ◽  
Field Inclination

The problem of unsteady laminar, two-dimensional hydromagnetic natural convection heat transfer in a concentric horizontal cylindrical annulus filled with a fluid-saturated porous medium in the presence of a transverse magnetic field and fluid heal generation effects is studied numerically. It is assumed that the inner and outer walls of the cylindrical annulus are maintained at uniform and constant temperatures Ti and To respectively. The model consists of the heat equation and the equations of motion under the Darcy law. The derived problem with the stream function-temperature formulation is solved numerically using the alternating direction implicit method. This investigation concerns the effect of magnetic field inclination angle, Hartmann number and heat generation on the heat transfer and the flow pattern. The obtained numerical results are presented graphically in terms of streamlines and isotherms. It was found that the heat transfer mechanisms and the flow characteristics depend strongly on the magnetic field inclination angle, Hartmann number and heat generation..

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