Natural convection in a vertical channel in a nonuniform magnetic field

1971 ◽  
Vol 21 (3) ◽  
pp. 1170-1175
Author(s):  
B. M. Berkovskii ◽  
N. A. Chameeva
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Vertical Channel ◽  
Nonuniform Magnetic Field

scholarly journals Numerical Investigation for the Modeling of the Magnetic Buoyancy Force during the Natural Convection of Air in a Square Enclosure

2014 ◽  
Vol 6 ◽  
pp. 873260 ◽  
Author(s):  
Kewei Song ◽  
Toshio Tagawa ◽  
Liang-bi Wang ◽  
Hiroyuki Ozoe
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Buoyancy Force ◽  
Nonuniform Magnetic Field ◽  
Temperature Fields ◽  
Two Dimensional ◽  
Numerical Computations ◽  
Square Enclosure ◽  
Magnetic Buoyancy ◽  
Magnetizing Force

Numerical computations are carried out for natural convection of air in a two-dimensional square enclosure under a nonuniform magnetic field and together with the gravity field. The nonuniform magnetic field is supplied by a cubic permanent magnet placed above the enclosure. Two kinds of the expressions for the magnetizing force are considered and compared in the numerical computations. The flow and temperature fields, the magnetizing force field and the Nusselt number for two kinds of magnetizing force expressions are all presented in this paper. The numerical results reveal that the natural convection inside the enclosure does not depend on the types of the expressions for magnetizing force.

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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