On a Natural-Convection Benchmark Problem in Non-Newtonian Fluids

Computational results are compared to experimental benchmark results for natural convection of a Newtonian fluid in a cubical cavity. These results are then extended to Powell-Eyring and extended Williamson fluids. Good agreement is seen between the experimental and computational results for most of...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Fundamentals, 2006-07, Vol.50 (3), p.193-216
Main Authors: Barth, William L., Carey, Graham F.
Format: Article
Language:English
Subjects:
Convection and heat transfer
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Non-newtonian fluid flows
Physics
Turbulent flows, convection, and heat transfer
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Summary:Computational results are compared to experimental benchmark results for natural convection of a Newtonian fluid in a cubical cavity. These results are then extended to Powell-Eyring and extended Williamson fluids. Good agreement is seen between the experimental and computational results for most of the Newtonian cases. Results from the non-Newtonian cases are proposed for comparison to future experiments. An issue raised by the Newtonian experimental study is identified and a probable resolution is described. Comparison of Newtonian and non-Newtonian results shows increased heat flux with increasing nonlinearity of the models. The non-Newtonian cases for the diagonally inclined orientation also show periodic behavior not seen in the Newtonian cases.
ISSN:1040-7790
1521-0626
DOI:10.1080/10407790500509009