Numerical Analyses of Transient Formation and Degradation Process of Multilayered Roll Cells With Double-Diffusive Natural Convection in an Enclosure

Kamakura, Katsuyoshi; Ozoe, Hiroyuki

doi:10.1080/10407789308913662

Cited by 11 publications

(3 citation statements)

References 17 publications

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“…The calculation algorithm of the finite element method is the same as that used in the previous study [8]. The local Nusselt number on the hot wall was calculated from a Taylor series for the temperature field, and the average Nusselt number was computed by an integration along the hot wall.…”

Section: Computationmentioning

confidence: 99%

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Oscillatory Phenomena of Low-Prandtl-Number Fluids in a Rectangular Cavity

Kamakura

Ozoe

1996

Numerical Heat Transfer, Part A: Applications

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The osci/lalory phenomena in natural conaeaion of low-Prandtl-number fluids were studied numerically in a rectangular cavily with horizontal temperature gradient at Prandtl number Pr = 0.01, aspect ratio A = I, 2, or 4, and Raykigh number Ra = 10', to', or 10'. In the case ofA = IamainstrongroundrollcellwasformedatRa = 10'. Howevtr,atRa = lOs and 10', two secondary roll cells in the core of a main roll cell were formed and rolllled around the center of the system. The flow was oscillating. In the case of A = 2, i.e.; a taller regime, the shape of the main roll cell varied with time at and above Ra = 10', and then the secondary complicated weak roll cells were formed above and below the main roll cell.This resulted in osci/lalory phenomena even at Ra = /0'. In the case of A = 4, three main roll cells were formed. AI Ra = to', secondary roll cells were formed between the main roll cells and then oscillasion offlow occurred.

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Section: Computationmentioning

confidence: 99%

“…The basic equations to describe natural convection consist of the stream function equation, the vorticity equation, and the energy equation as follows in dimensionless form [8]: …”

Section: Mathematical Modelmentioning

confidence: 99%

Oscillatory Phenomena of Low-Prandtl-Number Fluids in a Rectangular Cavity

Kamakura

Ozoe

1996

Numerical Heat Transfer, Part A: Applications

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“…Among the various modes, double-diffusive convection in an initially solute-strati¢ed liquid with lateral heating was studied by Chen, Briggs, and Wirtz [5]; Bergman and Ungan [6]; Lee, Hyun, and Moh [7]; Lee, Hyun, and Kang [8]; Lee and Hyun [9]; Jeevaraj and Imberger [10]; Kamakura and Ozoe [11]; and Hyun and Bergman [12], and with bottom heating by Lee and Hyun [13]; Jiang, Ostrach, and Kamotani [14], and Lee, Kang, and Hyun [15]. There are also studies on double-diffusive convection in binary solidi¢cation and crystal growth related to semiconductor materials as its representative applications [2,3].…”

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confidence: 99%