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A hydrostatic model of the Wirtz pump

Deane, Jonathan and Bevan, Jonathan (2018) A hydrostatic model of the Wirtz pump Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474 (2211).

A hydrostatic model of the Wirtz pump - AAM.pdf - Accepted version Manuscript

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The Wirtz pump is not only an excellent example of alternative technology, using as it does the kinetic energy of a stream to raise a proportion of its water, but its mathematical modelling also poses several intriguing problems. We give some history of the Wirtz pump and describe its operation. Taking a novel dynamical systems approach, we then derive a discrete mathematical model in the form of a mapping that describes its hydrostatic behaviour. Our model enables us to explain several aspects of the behaviour of the pump as well as to design one that gives approximately maximal, and maximally constant, output pressure.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Date : 21 March 2018
DOI : 10.1098/rspa.2017.0533
Copyright Disclaimer : © 2018 The Author(s) Published by the Royal Society. All rights reserved.
Depositing User : Clive Harris
Date Deposited : 26 Feb 2018 16:22
Last Modified : 06 Jul 2018 07:36

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