Spatial structure of the thermal boundary layer in turbulent convection

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5494-5503

  Lui, Siu Lung ^a   Xia, Ke Qing ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000420660     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5494     Document Type: Article

References (38)

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35. We note that the highest Ra reached in Ref. 22 was ≃1.6×108, which corresponds to the low end of our experiment and the Prandtl number Pr =7, which was the same as ours. But we think this probably is not the reason for the discrepancy between the experiment and the simulation, because the Ra for the onset of hard turbulence in two dimensions is around 5×106 (Ref. 30), which is about an order of magnitude lower than that for the 3D system. Thus, if we extrapolate linearly, the boundary layer profile in Ref. 22 for Ra =1.6×108 should be compared with that shown in Fig. 55(c) (Ra =1.19×109) for our system, and the two are quite different.
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37. Our assumption is partially justified by the fact that the temperature difference ΔT for different aspect ratio cells (different heights, therefore different sidewall areas) are the same under the same heater input power; this implies that at least heat leakage through the sidewall is negligible, in our system which was wrapped by several layers of nitrile rubber sheets and Styrofoam. This is also reflected by the fact that Nu for cells with aspect ratio A>1 all fall on a single line as shown in Ref. 17.
38. When there is a heat leakage in the cell, the measured ΔT will be smaller than what it should be when there is no heat leak, and the measured J will be smaller than the one calculated based on the heater input power. As we used measured ΔT and calculated J, a heat leakage in the cell will make our Nutot larger than the real one.