Slow flow past periodic arrays of cylinders with application to heat transfer

A. S. Sangani; A. Acrivos

doi:10.1016/0301-9322(82)90029-5

Slow flow past periodic arrays of cylinders with application to heat transfer

A. S. Sangani, A. Acrivos

Research output: Contribution to journal › Article › peer-review

602 Scopus citations

Abstract

Solutions for the slow flow past a square and a hexagonal array of cylinders are determined using a somewhat non-conventional numerical method. The calculated values of the drag on a cylinder as a function of c, the volume fraction of the cylinders, are shown to be in excellent agreement with the corresponding asymptotic expressions for c ≪ 1 and for c → c_max, the maximum volume fraction. These solutions are then used to calculate the average temperature difference between the bulk and the cylinders which are heated uniformly under conditions of small Reynolds and Péclet numbers.

Original language	English (US)
Pages (from-to)	193-206
Number of pages	14
Journal	International Journal of Multiphase Flow
Volume	8
Issue number	3
DOIs	https://doi.org/10.1016/0301-9322(82)90029-5
State	Published - Jun 1982
Externally published	Yes

ASJC Scopus subject areas

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1016/0301-9322(82)90029-5

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AB - Solutions for the slow flow past a square and a hexagonal array of cylinders are determined using a somewhat non-conventional numerical method. The calculated values of the drag on a cylinder as a function of c, the volume fraction of the cylinders, are shown to be in excellent agreement with the corresponding asymptotic expressions for c ≪ 1 and for c → cmax, the maximum volume fraction. These solutions are then used to calculate the average temperature difference between the bulk and the cylinders which are heated uniformly under conditions of small Reynolds and Péclet numbers.

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Slow flow past periodic arrays of cylinders with application to heat transfer

Abstract

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