Wilson, S.K. and Duffy, B.R. and Lee, M.E.M. (2005) *A mathematical model of three-dimensional flow in a scraped-surface heat exchanger.* In: Proceedings of the 13th European Conference on Mathematics for Industry, 2004-06-21 - 2004-06-25, Eindhoven.

## 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.

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