A Mathematical Model of Three-Dimensional Flow in a Scraped-Surface Heat Exchanger

Wilson, S.K.; Duffy, B.R.; Lee, M.E.M.

doi:10.1007/3-540-28073-1_49

S.K. Wilson²,
B.R. Duffy² &
M.E.M. Lee³

Part of the book series: Mathematics in Industry ((TECMI,volume 8))

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Summary

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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References

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Authors and Affiliations

Department of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow, G1 1XH, UK
S.K. Wilson & B.R. Duffy
School of Mathematics, University of Southampton, Highfield, Southampton, SO17 1BJ, UK
M.E.M. Lee

Authors

S.K. Wilson
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B.R. Duffy
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M.E.M. Lee
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Editors and Affiliations

Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands
A. Di Bucchianico , R.M.M. Mattheij & M.A. Peletier , &

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Wilson, S., Duffy, B., Lee, M. (2006). A Mathematical Model of Three-Dimensional Flow in a Scraped-Surface Heat Exchanger. In: Di Bucchianico, A., Mattheij, R., Peletier, M. (eds) Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28073-1_49

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DOI: https://doi.org/10.1007/3-540-28073-1_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28072-9
Online ISBN: 978-3-540-28073-6
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