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Open AccessJournal ArticleDOI

Effect of magnetic field on the buoyancy and thermocapillary driven convection of an electrically conducting fluid in an annular enclosure

TLDR
In this paper, the effect of magnetic field on the combined buoyancy and surface tension driven convection in a cylindrical annular enclosure is studied. And the results reveal that, in tall cavities, the axial magnetic field suppresses the surface tension flow more effectively than the radial magnetic field.
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This article is published in International Journal of Heat and Fluid Flow.The article was published on 2011-04-01 and is currently open access. It has received 55 citations till now. The article focuses on the topics: Buoyancy & Natural convection.

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Oscillatory Magnetohydrodynamic Natural Convection of Liquid Metal between Vertical Coaxial Cylinders

TL;DR: In this paper, a numerical study of oscillatory magnetohydrodynamic (MHD) natural convection of liquid metal between vertical coaxial cylinders is carried out, where the inner and outer cylinders are maintained at uniform temperatures, while the horizontal top and bottom walls are thermally insulated.
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3D MHD nonlinear radiative flow of CuO-MgO/methanol hybrid nanofluid beyond an irregular dimension surface with slip effect.

TL;DR: The 3D MHD nonlinear radiative hybrid nanofluid flow across an irregular dimension sheet with slip effect is studied numerically and concludes that the CuO-MgO combination works as a good insulator.
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Numerical modeling of MHD stability in a cylindrical configuration

TL;DR: The possibility of stabilization of a liquid metal flow in natural convection by application of a radial magnetic field is confirmed and put in evidence the dependence of the critical Grashof number with the increase of the Hartmann number.
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Numerical study on combined buoyancy–Marangoni convection heat and mass transfer of power-law nanofluids in a cubic cavity filled with a heterogeneous porous medium

TL;DR: In this paper, the effect of heterogeneity level, Marangoni number, thermal Rayleigh number, buoyancy ratio and nanoparticle volume fraction on the fluid flow as well as on rates of heat and mass transfer was investigated with the compact high order finite volume method.
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Numerical Simulation of Oscillatory MHD Natural Convection in Cylindrical Annulus: Prandtl Number Effect

TL;DR: In this paper, the effect of Prandtl number on flow and heat transfer characteristics with considering the magnetic field effects is investigated, and critical Rayleigh numbers are determined for different values of physical parameters, including buoyancy term, Boussinesq approximation, and numerical solutions are obtained using the finite volume method.
References
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Journal ArticleDOI

Natural convection of air in a square cavity: A bench mark numerical solution

TL;DR: In this paper, the authors used mesh refnement and extrapolation to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls.
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Quantification of uncertainty in computational fluid dynamics

TL;DR: This review covers Verification, Validation, Confirmation and related subjects for computational fluid dynamics (CFD), including error taxonomies, error estimation and banding, convergence rates, surrogate estimators, nonlinear dynamics, and error estimation for grid adaptation vs Quantification of Uncertainty.
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Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field

TL;DR: In this article, an analytical solution to the equations of magnetohydrodynamics that can be used to model the effect of a transverse magnetic field on buoyancy driven convection in a two-dimensional cavity was proposed.
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The effect of the direction of the external magnetic field on the three-dimensional natural convection in a cubical enclosure

TL;DR: In this paper, three-dimensional conservation equations for natural convection in a cubic enclosure heated from one side wall and cooled from an opposing wall are numerically solved under three different external magnetic fields either in the X-, Y- or Z-directions.
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Computation of Natural Convection in Two-Dimensional Cavities with Chebyshev Polynomials

TL;DR: In this paper, a semi-implicit spectral method for the computation of buoyancy induced two-dimensional flow of a viscous incompressible fluid is presented, where all the variables are expanded in double truncated series of Chebyshev polynomials, and the pressure distribution at the boundary of the computational domain is determined by means of an influence matrix technique in order to satisfy the incompressibility condition everywhere in the field.
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