Numerical study of natural convection from a heat generating element using a locally divergence free FEM and comparison with experiment

A locally divergence free numerical scheme based on a hybrid finite element-finite volume method together with a restricted domain approach is used for the numerical solution of laminar conjugate natural convection in a vertical channel containing a short planar heat generating element. Numerical si...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2012-04, Vol.39 (4), p.530-536
Main Authors: Rajkumar, M.R., Venugopal, G., Lal, S. Anil
Format: Article
Language:English
Subjects:
Convection and heat transfer
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hybrid FEM-FVM method
Natural convection
Physics
Restricted domain approach
Turbulent flows, convection, and heat transfer
Volumetric heat generation
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Summary:A locally divergence free numerical scheme based on a hybrid finite element-finite volume method together with a restricted domain approach is used for the numerical solution of laminar conjugate natural convection in a vertical channel containing a short planar heat generating element. Numerical simulations have been carried out for modified Rayleigh numbers in the range 1×105–8.1×107. The numerically evaluated temperature rise above the ambient of the heat generating element is found to agree well with experimental data. A correlation for dimensionless temperature rise as a function of dimensionless volumetric heat generation is presented. Natural convection, Hybrid FEM-FVM method, Restricted domain approach, Volumetric heat generation.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2012.02.004