Buoyant Convection in a Cavity with a Baffle Under Time-Periodic Wall Temperature
25 May 2001-Numerical Heat Transfer Part A-applications (Informa UK Ltd)-Vol. 39, Iss: 7, pp 723-736
TL;DR: In this paper, a numerical study is made of buoyant convection at high Rayleigh number in a square cavity that contains a horizontal baffle at midheight, and the horizontal walls of the cavity are insulated.
Abstract: A numerical study is made of buoyant convection at high Rayleigh number in a square cavity that contains a horizontal baffle at midheight. The horizontal walls of the cavity are insulated. At the cold left vertical wall, the nondimensional temperature is constant θ = 0, and at the hot right vertical wall, the wall temperature is time periodic, θ
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TL;DR: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted by as mentioned in this paper, where the authors conducted a comprehensive survey.
Abstract: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted Due to the immenseness of the literature volume, the survey
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TL;DR: In this paper, contact conduction and contact resistance were investigated. But contact conuction with convection, phase change, and phase change was not one of the main issues in this paper.
53 citations
TL;DR: In this article, the effects of the body size and thermal conductivity ratio on the resonant frequencies for unsteady state were investigated in a vertical enclosure with a conducting body placed at the center of the enclosure.
Abstract: The present work is concerned with natural convection heat transfer and fluid flow in a vertical enclosure subject to periodic temperature boundary condition imposed at the right sidewall with a conducting body placed at the center of the enclosure. A close inspection is concentrated to the effects of the body size and thermal conductivity ratio on the resonant frequencies for unsteady state. The body size varies from 0.1 to 0.9 the height of the enclosure, and the thermal conductivity ratio from 0.1 to 20. The results are presented in terms of amplitude of cycle averaged Nusselt number, fluctuating velocity and temperature contours and its intensity. The vertical and horizontal temperature excursions are also shown. It is found that the resonant frequency decreases with increasing the body size and thermal conductivity ratio. The disturbance of hot wall travels the core region, and will be interrupted by the centered body. Double-peak structure of the vertical velocity intensity would be observed at reso...
44 citations
Cites background from "Buoyant Convection in a Cavity with..."
...[18] conducted a numerical study of oscillating buoyant convection at high Rayleigh number in a square cavity that contains a horizontal baffle at mid-height....
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TL;DR: In this article, natural convection of air within a cubic cavity, two opposite walls of which are differentially heated, is simulated numerically for Rayleigh numbers of 103, 104, 105, and 106.
Abstract: Natural convection of air within a cubic cavity, two opposite walls of which are differentially heated, is simulated numerically for Rayleigh numbers of 103, 104, 105, and 106. For each Rayleigh number, two benchmark problems are examined: all four remaining walls are either adiabatic or perfectly conducting. The conservation equations, written using a vorticity–velocity formulation, are discretized with second-order finite differences on uniform grids containing up to 813 points. The equations are solved at all points simultaneously using Newton's method. Solutions on an 813 nonuniform grid are also presented. Excellent agreement with published computational and experimental data is observed, and new benchmark data are reported for the second problem.
33 citations
Cites background from "Buoyant Convection in a Cavity with..."
...Examples of variations on the basic problem include the consideration of porosity effects [3–5], turbulence [6–8], and time-dependent wall temperatures [9, 10]....
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TL;DR: In this paper, a non-Boussinesq numerical algorithm is applied to solve the free-convection problem in a wide range of thin to thick vertical cavities subject to different side-wall temperatures.
Abstract: This article applies a novel non-Boussinesq numerical algorithm to solve the free-convection problem in a wide range of thin to thick vertical cavities subject to different side-wall temperatures. In this regard, the compressible flow equations are solved using a primitive incompressible method. No Boussinesq approximation and low Mach number consideration are included in the formulation. To implement the compressibility effect, the density field is calculated via the equation of state for gas. The temperature gradient is suitably varied to generate different low to high thermobuoyant fields, where the Boussinesq approximation may or may not be valid. Contrary to published works on the thin vertical cavity problem, the thin cavity is studied over a wide range of temperature gradients. The results are presented for different length-to-height ratios varying from 0.1 to 1.0. The present results are in full qualitative and quantitative agreement with those available in the literature. The quantitative compari...
29 citations