Natural convection with volumetric heat generation and external magnetic field in differentially heated enclosure

2014 ◽  
Vol 228 (15) ◽  
pp. 2711-2727 ◽  
Author(s):  
Farid Berrahil ◽  
Smail Benissaad ◽  
Abid Chérifa ◽  
Marc Médale
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
External Magnetic Field ◽  
Prandtl Number ◽  
Heat Generation ◽  
Numerical Study ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Simpler Algorithm ◽  
The Magnetic Field

Abstract This work presents a numerical study of natural convection in a laterally heated cavity filled with an electrically conductive fluid ([Formula: see text]) in the presence of an external magnetic field and an internal heat source. The finite volume method with the SIMPLER algorithm is used to solve the system of equations governing the magnetohydrodynamics flow. The influence of volumetric heating SQ on the flow structure and on the heat transfer within the cavity for Gr = 104, 105, and 106 was examined. The effects of aspect ratio ( A = 1, 0.5, and 2), Prandtl number (low Prandtl number fluids), and magnetic field ([Formula: see text] to [Formula: see text]) were determined in the steady state with internal heat generation. Two orientations of the magnetic field were considered in order to have better control of the flow. The strongest stabilization of the flow field with internal heat generation is found when the magnetic field is oriented horizontally.

scholarly journals Numerical analysis of combined natural convection-internal heat generation source-surface radiation

2016 ◽  
Vol 20 (6) ◽  
pp. 1879-1889
Author(s):  
Sabar Hamimid ◽  
Messaoud Guellal
Keyword(s):  
Natural Convection ◽  
Heat Generation ◽  
Numerical Study ◽  
Analytical Formula ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Surface Radiation ◽  
Staggered Grid ◽  
Source Surface ◽  
Simpler Algorithm

Numerical study of combined laminar natural convection and surface radiation with internal heat generation is presented in this paper and computations are performed for an air-filled square cavity whose four walls have the same emissivity. Finite volume method through the concepts of staggered grid and SIMPLER algorithm has been applied, and the view factors are determined by analytical formula. A power scheme is also used in approximating advection-diffusion terms. Representative results illustrating the effects of emissivity and the internal heat generation on the streamlines and temperature contours within the enclosure are reported. In addition, obtained results for local and average convective and radiative Nusselt, for various parametric conditions, show that internal heat generation modifies significantly the flow and temperature fields.

scholarly journals The effect of an external magnetic field on the entropy generation in three-dimensional natural convection

2010 ◽  
Vol 14 (2) ◽  
pp. 341-352 ◽  
Author(s):  
Lioua Kolsi ◽  
Awatef Abidi ◽  
Naceur Borjini ◽  
Ben Aïssia
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
External Magnetic Field ◽  
Liquid Metal ◽  
Entropy Generation ◽  
Numerical Study ◽  
Three Dimensional ◽  
Laminar Natural Convection ◽  
The Magnetic Field

A 3-D original numerical study of entropy generation in the case of liquid metal laminar natural convection in a differentially heated cubic cavity and in the presence of an external magnetic field orthogonal to the isothermal walls is carried out. The effect of this field on the various types of irreversibilities is analyzed. It was observed that in the presence of a magnetic field the generated entropy is distributed on the entire cavity and that the magnetic field limits the 3-D character of the distribution of the generated entropy.

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