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

Stephen Wilson, Brian Duffy, M.E.M. Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution book


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.
Original languageEnglish
Title of host publicationMathematics in Industry
Subtitle of host publicationProgress in Industrial Mathematics at ECMI 2004
EditorsA. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier
Place of PublicationHeidelberg
Number of pages6
ISBN (Print)978-3-540-28072-9
Publication statusPublished - 9 Jan 2006

Publication series

NameMathematics in Industry


  • industrial mathematics
  • heat exchange
  • isothermal flow
  • scraped-surface heat exchanger


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