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Laminar Forced Convection Heat Transfer to a Single Layer of Ordered and Disordered Spheres

** Laminar Forced Convection Heat Transfer to a Single Layer of Ordered and Disordered Spheres**, D. Ambesi and C. R. Kleijn. In

*6th European Thermal Sciences Conference (Eurotherm 2012)*, pp. 012027,

**2012**.

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### Abstract

We study laminar forced convection heat transfer to single layer arrays of equidistantly and non-equidistantly spaced spheres. We report average Nusselt numbers as a function of geometry and flow conditions, for open frontal area fractions between 0.04 and 0.95, Prandtl numbers between 0.7 and 10, and Reynolds numbers (based on sphere diameter and the free stream velocity) between 0.1 and 100. For equidistantly spaced arrays of spheres we propose a general analytical expression for the average Nusselt number as a function of the Reynolds number, Prandtl number and the open frontal area fraction, as well as asymptotic scaling rules for small and large Reynolds. For all studied Prandtl numbers, equidistant arrays exhibit decreasing average Nusselt numbers for decreasing open frontal area fractions at low Reynolds numbers. For high Reynolds numbers, the Nusselt number approaches that of a single spheres in cross-flow, independent of the open frontal area fraction. For equal open frontal area fractions, the Nusselt number in non-equidistant arrays is lower than in equidistant arrays for intermediate Reynolds numbers. For very low and high Reynolds numbers, non-uniformity does not influence heat transfer.

### BibTeX

@inproceedings{ ISI:000312264800027, Author = {Ambesi, D. and Kleijn, C. R.}, Book-Group-Author = {IOP}, Title = {Laminar Forced Convection Heat Transfer to a Single Layer of Ordered and Disordered Spheres}, Booktitle = {6th European Thermal Sciences Conference (Eurotherm 2012)}, Series = {Journal of Physics Conference Series}, Year = {2012}, Volume = {395}, Note = {}, Abstract = {We study laminar forced convection heat transfer to single layer arrays of equidistantly and non-equidistantly spaced spheres. We report average Nusselt numbers as a function of geometry and flow conditions, for open frontal area fractions between 0.04 and 0.95, Prandtl numbers between 0.7 and 10, and Reynolds numbers (based on sphere diameter and the free stream velocity) between 0.1 and 100. For equidistantly spaced arrays of spheres we propose a general analytical expression for the average Nusselt number as a function of the Reynolds number, Prandtl number and the open frontal area fraction, as well as asymptotic scaling rules for small and large Reynolds. For all studied Prandtl numbers, equidistant arrays exhibit decreasing average Nusselt numbers for decreasing open frontal area fractions at low Reynolds numbers. For high Reynolds numbers, the Nusselt number approaches that of a single spheres in cross-flow, independent of the open frontal area fraction. For equal open frontal area fractions, the Nusselt number in non-equidistant arrays is lower than in equidistant arrays for intermediate Reynolds numbers. For very low and high Reynolds numbers, non-uniformity does not influence heat transfer.}, DOI = {10.1088/1742-6596/395/1/012027}, Pages = {012027}, ISSN = {1742-6588}, Unique-ID = {ISI:000312264800027}, }

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