NUMERICAL SIMULATION OF FLOW PATTERN FORMATION IN A BOTTOM HEATED CYLINDRICAL FLUID LAYER
作者:
Y. H. Li,
T. C. Chu,
T. F. Lin,
期刊:
Numerical Heat Transfer, Part A: Applications
(Taylor Available online 1996)
卷期:
Volume 30,
issue 5
页码: 459-476
ISSN:1040-7782
年代: 1996
DOI:10.1080/10407789608913851
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The temporal formation of the buoyancy-driven flow structures in a bottom heated, shallow, cylindrical fluid layer was numerically studied. The unsteady three-dimensional Navier-Stokes and energy equations were discretized by the power law scheme and solved by the fully implicit Marker-and-Cell method. Computations were carried out for the pressurized argon (Pr=0·69) and water (Pr=6·1) layers for various Rayleigh numbers and heating rates of the layer. In the pressurized argon layer at a slightly supercritical Rayleigh number with Raf;=1·05Raca steady straight roll pattern was formed when the heating rate was very slow (a=0·001) after a long transient stage. When the heating rate was raised to a=0·01, a very different structure tike U-rolls was formed at steady state. In the water layer with Raf=l·05Rac, a straight roll pattern was again formed, but at a equals;0·07. At Raf;=1·13Rac, curved rolls with the three foci at the sidewall were formed for a=0·01. A pattern in the form of U-rolls appears at a=0·01. Regular concentric circular rolls prevail at a=1·0. When the Rayleigh number is further raised to 1·23Rac, the resulting steady flow is dominated by incomplete circular rolls with open ends near θ=0°
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