Statistical Analysis of Turbulent Natural Convection in Low Prandtl Number Fluids

Author(s):  
I. Otić ◽  
G. Grötzbach
1991 ◽  
Vol 113 (4) ◽  
pp. 919-925 ◽  
Author(s):  
F. B. Cheung ◽  
S. W. Shiah ◽  
D. H. Cho ◽  
L. Baker

Turbulent natural convection in a horizontal layer of liquid metal confined between two infinite rigid plates is studied theoretically. The layer, with uniformly distributed energy sources in the fluid, is heated from below and cooled from above. An approximate analysis of the Boussinesq equations of motion is performed for the case of small-Prandtl-number fluids to determine the temperature profiles in three different thermal regions of the layer. By matching these profiles in the regions of overlap, analytical expressions are derived for the lower and upper surface Nusselt numbers and the dimensionless turbulent core temperature as functions of the internal and external Rayleigh numbers defined respectively in terms of the volumetric heating rate and surface-to-surface temperature difference of the layer. Comparison of the present results with heat transfer data for liquid mercury is made and found to be good.


Author(s):  
Seung D. Lee ◽  
Hyoung M. Son ◽  
Kune Y. Suh ◽  
Joy L. Rempe ◽  
F. Bill Cheung ◽  
...  

Natural convection plays an important role in determining the thermal load from debris accumulated in the reactor vessel lower head during a severe accident in nuclear power plants. The natural convection heat transfer involving internal heat generation is generally represented by the modified Rayleigh number, Ra’, which quantifies the internal heat source and hence the strength of the buoyancy force. The SIGMA RP (Simulant Internal Gravitated Material Apparatus Rectangular Pool) tests are concerned with high Ra’ turbulent natural convection in a rectangular pool. The internal heating was realized by cable-type heaters in the test to simulate uniform heat generation. Ra’ was found to be in the range of 1×109–1×1012. Experiments were conducted using air with the Prandtl number, Pr, of about 0.7 as the working fluid. The test results confirmed feasibility of the direct heating method to simulate uniform volumetric heat generation in the pool.


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