Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (3): 293-298.doi: 10.3969/j.issn.1007-2861.2012.03.015

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Aspect Ratio Dependence of Heat Transport by Turbulent RayleighBénard Convection in Rectangular Cells

LI Chun-mei,LIU Bo-fang,ZHOU Quan,LU Zhi-ming,LIU Yu-lu   

  1. (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Online:2012-06-30 Published:2012-06-30

Abstract: This paper reports highprecision measurements of the Nusselt number Nu as a function of the Rayleigh number Ra, which in waterfilled rectangular RayleighBénard (RB) convection cells of aspect ratio (Γxy)=(1.00,0.30), (2.00,0.60), (4.00,1.20), (7.25,2.18), (14.29,4.29) and (20.84,6.25), over the Rayleigh number range 5.0×105≤Ra≤5.6×1010 and the Prandtl number range 5.3≤Pr≤7.0. The results show that, unlike the situation in the cylindrical cells, the turbulent heat transport in rectangular cells is nearly independent of the cells’ aspect ratios.

Key words: aspect ratio, effect of finite conductivity, heat transport, RayleighBénard (RB), turbulent thermal convection

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