Journal ArticleDOI
High Rayleigh Number Convection in an Enclosure—A Numerical Study
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In this article, the authors performed finite difference computations for convection in a square cavity at Rayleigh number ∼O(O(106) for a variety of dynamical boundary conditions, Rayleigh numbers, and Prandtl numbers.Abstract:
Seven finite difference computations for convection in a square cavity at Rayleigh number ∼O(106) have been carried out for a variety of dynamical boundary conditions, Rayleigh numbers, and Prandtl numbers. The results indicate that various horizontal dynamical boundary conditions virtually make no difference to the main boundary‐layer flow although free vertical boundaries double the velocity in the boundary layer adjacent to them. The scaled fields in the vertical boundary layers are independent of the Rayleigh number, and to a large extent, independent of the Prandtl number, when the two vertical boundary layers are distinct. The results compare reasonably well with Elder's experiments.read more
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Journal ArticleDOI
Unsteady natural convection in a rectangular cavity
John C. Patterson,Jörg Imberger +1 more
TL;DR: In this article, the authors considered the problem of transient natural convection in a cavity of aspect ratio A [les ] 1 with differentially heated end walls and used scale analysis to show that a number of initial flow types are possible, collapsing ultimately onto two basic types of steady flow, determined by the relative value of the non-dimensional parameters describing the flow.
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Three-dimensional natural convection in a box: a numerical study
G. D. Mallinson,G. De Vahl Davis +1 more
TL;DR: In this article, the steady-state Navier-Stokes equations in three dimensions have been obtained by a numerical method for the problem of natural convection in a rectangular cavity as a result of differential side heating.
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Natural convection in a shallow cavity with differentially heated end walls. Part 1. Asymptotic theory
TL;DR: In this paper, the problem of natural convection in a cavity of small aspect ratio with differentially heated end walls is considered, and it is shown by use of matched asymptotic expansions that the flow consists of two distinct regimes : a parallel flow in the core region and a second, non-parallel flow near the ends of the cavity.
Journal ArticleDOI
Multicellular natural convection in a vertical slot
Yee Lee,Seppo A. Korpela +1 more
TL;DR: In this paper, numerical solutions to multicellular natural convection in a vertical enclosure were presented, where the calculated streamlines faithfully represent what has been seen in the laboratory by smoke traces in air and particle traces in oils.
Journal ArticleDOI
Convective effects in crystals grown from melt
TL;DR: In this paper, a review examines the practical art of crystal growth from the perspective of a fluid-dynamicist, and suggests areas for research which would increase the understanding of the growth process.