Simultaneous Optimisation of Residence Time, Heat and Mass Transfer in Laminar Duct Flows

Lester, D, Kuan, B and Metcalfe, G 2018, 'Simultaneous Optimisation of Residence Time, Heat and Mass Transfer in Laminar Duct Flows', Chemical Engineering Science, vol. 191, pp. 511-524.


Document type: Journal Article
Collection: Journal Articles

Title Simultaneous Optimisation of Residence Time, Heat and Mass Transfer in Laminar Duct Flows
Author(s) Lester, D
Kuan, B
Metcalfe, G
Year 2018
Journal name Chemical Engineering Science
Volume number 191
Start page 511
End page 524
Total pages 14
Publisher Elsevier
Abstract Suitably designed laminar duct flows admit chaotic advection which, in concert with diffusion, can lead to rapid heat and mass transport and sharpening of the residence time distribution (RTD). Whilst evolution of these distinct scalar fields are strongly related, the exact relationships between these distinct fields is unknown, nor to what extent they can be simultaneously optimised. In this paper we present a unified framework for the simultaneous optimisation of the three scalar fields; RTD, temperature, and mass concentration. This optimisation is performed in terms of the eigenmodes of the advection-diffusion operator, which generalize classical Taylor-Aris axial dispersion. We apply this optimisation framework to a twisted pipe flow (TPF) at Peclet number Pe=105, and find 47- and 237-fold increases in transverse heat and mass transfer respectively over straight tube flow, along with a 2,000-fold suppression of RTD variance growth. We show that generality of the eigenmode decomposition suggests this framework is universal to all duct flows.
Subject Heat and Mass Transfer Operations
Keyword(s) Chaotic advection
Optimisation
Duct flow
Strange eigenmode
Residence time distribution
DOI - identifier 10.1016/j.ces.2018.04.065
Copyright notice Crown Copyright © 2018 Published by Elsevier Ltd. All rights reserved.
ISSN 0009-2509
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