A mathematical model of three-dimensional flow in a scraped-surface heat exchanger

Wilson, Stephen and Duffy, Brian and Lee, M.E.M. (2006) A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. In: Mathematics in Industry. Mathematics in Industry, 8 . Springer, Heidelberg, pp. 308-312. ISBN 978-3-540-28072-9

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Abstract

We present a simple mathematical model of fluid flow in a Scraped-Surface Heat Exchanger (SSHE). Specifically we consider steady isothermal flow of a Newtonian fluid around a periodic array of pivoted scraper blades in a channel with one stationary and one moving wall, when there is an applied pressure gradient in a direction perpendicular to the wall motion. The flow is fully three-dimensional, but decomposes naturally into a two-dimensional transverse flow driven by the boundary motion and a longitudinal pressure-driven flow.