Abstract
The stability of convective motion, generated by a lateral temperature difference across a vertical slot, is studied numerically over a range ofGr=5000 to 1.5 × 105,Pr=0.01 to 10, andA=8,16 and 20. Various cellular flow structures and temperature patterns are illustrated. Several branches of solutions characterized by different numbers of the cells in the flow patterns as well as by both steady and unsteady multicellular patterns are found for low-Prandtl-number fluid in the vertical slot. Meanwhile, the behaviors of the temperature variation and heat transfer are also discussed.
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References
Batchelor GK. Heat transfer by free convection across a closed cavity between vertical boudaries at different temperatures.Q J Appl Math, 1954, 12: 209–233
Elder JW. Laminar free convection in a vertical slot.J Fluid Mech, 1965, 23: 77–98
Seki N, Fukusako S, Inaba H. Visual observation of natural convective flows in a narrow vertical cavity.J Fluid Mech, 1978, 84: 695–704
Chen CF, Thangam S. Convective stability of a variable-viscosity fluid in a vertical slot.J Fluid Mech, 1985, 161: 161–173
Wakitani S. Formation of cells in natural convection in a vertical slot at large Prandtl number.J Fluid Mech, 1996, 314: 299–314
Daniels PG. Stationary instability of the convective flow between differentially heated vertical planes.J Fluid Mech, 1989, 203: 525–540
Lee Y, Korpela SA. Multicellular natural convection in a vertical slot.J Fluid Mech, 1983, 126: 91–121
Jin YY, Chen CF. Instability of convection and heat transfer of high Prandtl number fluids in a vertical slot.ASME J Heat Transfer, 1996, 118: 359–365
Le Quere P. A note on multiple and unsteady solutions in two-dimensional convection in a tall cavity.ASME J Heat Transfer, 1990, 112: 965–974
Wakitani S. Flow patterns of natural convection in an air-filled vertical cavity.Phys Fluid, 1998, 10: 1924–1928
Lu XY, Zhuang LX. Numerical study of buoyancy-and thermocapillary-driven flows in a cavity.Acta Mechanica Sinica, 1998, 14: 130–138
Kawamura T, Kuwahara K. Computation of high Reynolds number flow around a circular cylinder with surface roughness. AIAA Paper, 84-0340, 1984
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The project supported by the National Natural Science Foundation of China (59776011) and by the Returnee from Abroad Funding of Academia Sinica.
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Xiyun, L., Lixian, Z. Numerical study of natural convection flow in a vertical slot. Acta Mech Sinica 15, 215–224 (1999). https://doi.org/10.1007/BF02486149
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DOI: https://doi.org/10.1007/BF02486149