Consideration is given to the multiple solutions of two-dimensional natural convection in a vertical air-filled tall cavity with differentially heated sidewalls. Numerical simulations are carried out for a wide range of Rayleigh numbers from the onset of the steady multicellular flow, through the reverse transition to the unicellular pattern, to the unsteady multicellular flow. The dependence of the flow structure on the initial condition is clarified from the simulations by means of starting from a motionless and isothermal state, and gradually increasing or decreasing the Rayleigh number.
Issue Section:
Natural and Mixed Convection
1.
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Korpela
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,” Journal of Fluid Mechanics
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.2.
Chenoweth
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Paolucci
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,” Journal of Fluid Mechanics
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de Vahl Davis
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,” International Journal for Numerical Methods in Fluids
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.4.
Jin
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Chen
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, “Instability of Convection and Heat Transfer of High Prandtl Number Fluids in a Vertical Slot
,” ASME JOURNAL OF HEAT TRANSFER
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.5.
Kawamura, T., and Kuwahara, K., 1984, “Computations of High Reynolds Number Flow around a Circular Cylinder with Surface Roughness,” AIAA Paper No. 84-0340.
6.
Kawamura
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,” Fluid Dynamics Research
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.7.
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8.
Le Que´re´
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, “A Note on Multiple and Unsteady Solutions in Two-Dimensional Convection in a Tall Cavity
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 112
, pp. 965
–974
.9.
Lee
Y.
Korpela
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1983
, “Multicellular Natural Convection in a Vertical Slot
,” Journal of Fluid Mechanics
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.10.
Ostrach
S.
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,” ASME JOURNAL OF HEAT TRANSFER
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.11.
Roux
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Grondin
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de Vahl Davis
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,” Phys. Chem. Hydro.
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, “Experiments on Convective Instability of Large Prandtl Number Fluids in a Vertical Slot
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 116
, pp. 120
–126
.13.
Wakitani
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1996
, “Formation of Cells in Natural Convection in a Vertical Slot at Large Prandtl Number
,” Journal of Fluid Mechanics
, Vol. 314
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–314
.
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