The study presents a preliminary study of three-dimensional transitional natural convection flows, generated by a confined thermal source. The system considered is a periodic enclosure of square cross-section, containing a horizontal cylindrical source, placed in central position. The heat carrier fluid is air with Prandtl number Pr = 0:7. For such system, transition from steady-state tounsteady, chaotic flow has already been widely investigated under the 2D assumption, with respect to the variation of the Rayleighnumber and aspect ratio A. The numerical scheme is based on a second order finite-volume discretization of the Navier-Stokesequations, solved on orthogonal Cartesian grids. Internal boundaries non-aligned with the grid are subjected to special treatment by means of an original technique belonging to the class of Immersed Boundary Methods. Five computations for selected (Ra;A) couples are carried out for comparison with previously obtained 2D results in the transition range. A first hint is provided at the degree of validity of the 2D assumption for the detection of bifurcative dynamics, and the overall quality of the computational technique is evaluated successfully.
THREE-DIMENSIONAL TRANSITIONAL BUOYANCY-INDUCED FLOWSFROM A HORIZONTAL ISOTHERMAL CYLINDER IN A PERIODIC ENCLOSURE / Angeli, Diego; Corticelli, Mauro Alessandro; B., Niceno. - STAMPA. - (2011), pp. 3-8. (Intervento presentato al convegno XXIX UIT Heat Transfer Conference tenutosi a Torino nel 20-22 June 2011).
THREE-DIMENSIONAL TRANSITIONAL BUOYANCY-INDUCED FLOWSFROM A HORIZONTAL ISOTHERMAL CYLINDER IN A PERIODIC ENCLOSURE
ANGELI, Diego;CORTICELLI, Mauro Alessandro;
2011
Abstract
The study presents a preliminary study of three-dimensional transitional natural convection flows, generated by a confined thermal source. The system considered is a periodic enclosure of square cross-section, containing a horizontal cylindrical source, placed in central position. The heat carrier fluid is air with Prandtl number Pr = 0:7. For such system, transition from steady-state tounsteady, chaotic flow has already been widely investigated under the 2D assumption, with respect to the variation of the Rayleighnumber and aspect ratio A. The numerical scheme is based on a second order finite-volume discretization of the Navier-Stokesequations, solved on orthogonal Cartesian grids. Internal boundaries non-aligned with the grid are subjected to special treatment by means of an original technique belonging to the class of Immersed Boundary Methods. Five computations for selected (Ra;A) couples are carried out for comparison with previously obtained 2D results in the transition range. A first hint is provided at the degree of validity of the 2D assumption for the detection of bifurcative dynamics, and the overall quality of the computational technique is evaluated successfully.
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