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Correlations for the Graetz problem in convection – Part 2: For ducts of arbitrary cross-section
•A correlation for convection into fully developed flows of arbitrary cross-section.•The new correlation within ±5% of first principle Graetz problem calculations. A general correlation is proposed for the laminar Graetz problem associated with convection in ducts of arbitrary cross-section. The cor...
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Published in: | International journal of heat and mass transfer 2019-06, Vol.135, p.1327-1334 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | •A correlation for convection into fully developed flows of arbitrary cross-section.•The new correlation within ±5% of first principle Graetz problem calculations.
A general correlation is proposed for the laminar Graetz problem associated with convection in ducts of arbitrary cross-section. The correlation assumes knowledge of fully developed transport constants, specifically the product of fully developed friction factor and Reynolds number, and the fully developed value of Nusselt number, whose values are particular to the duct geometry and wall condition. The new correlation is suitable for ducts having a convective surface equal to the wetted perimeter, and for ducts having a wall condition of either constant temperature or constant heat flux. For the majority of solutions to the Graetz problem found in the literature for various duct geometries, the new correlation is generally found to be within ±5% of first principle calculations. |
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ISSN: | 0017-9310 1879-2189 |
DOI: | 10.1016/j.ijheatmasstransfer.2019.02.052 |