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The Transfer and Transport of a Passive Scalar Within an Isolated Array of Circular Cylinders in a Uniform Flow

Klettner, C; (2020) The Transfer and Transport of a Passive Scalar Within an Isolated Array of Circular Cylinders in a Uniform Flow. Water Resources Research , 56 (9) , Article e2020WR027618. 10.1029/2020wr027618. Green open access

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Abstract

The transfer and transport of a passive scalar T from an isolated array of circular cylinders of varying Reynolds number (Re = [1000, 333]) and solid fraction (0.0023 < ϕ < 0.3) in a uniform steady flow are investigated. This problem is an abstraction of the flow past emergent vegetation or marine aquaculture, in which passive contaminants are continuously generated. The upstream flow (T_{\infty} = 0) is uniform and incident on an array of N_{c} cylinders whose surfaces are set to T_{s} = 1. Three‐dimensional numerical simulations were carried out to investigate the mean and fluctuating Nusselt number of the individual cylinders and the array as a whole. To help interpret the numerical results a mathematical model, partly based on empirical relationships, is developed to predict the transfer. The transfer of the scalar from the array was found to increase when the Reynolds number was increased. As the solid fraction is increased the transfer increases, reaches a maximum, and then decreases. This is due to the collective effect of all the cylinders resulting in (i) a modification of the incident flow and (ii) a reduction in the scalar gradient between the cylinder surface and the locally incident flow on individual cylinders. These effects are highly dependent on the solid fraction. Additional simulations were carried out to decompose the contribution of these two processes on the transfer of individual cylinders.

Type: Article
Title: The Transfer and Transport of a Passive Scalar Within an Isolated Array of Circular Cylinders in a Uniform Flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.1029/2020wr027618
Publisher version: https://doi.org/10.1029/2020WR027618
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10113111
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