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

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

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.
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
PublisherSpringer
Pages308-312
Number of pages6
Volume8
ISBN (Print)978-3-540-28072-9
DOIs
Publication statusPublished - 9 Jan 2006

Publication series

NameMathematics in Industry
PublisherSpringer

Fingerprint

Heat Exchanger
Three-dimensional Flow
Pressure gradient
Heat exchangers
Flow of fluids
Mathematical Model
Mathematical models
Fluids
Motion
Newtonian Fluid
Pressure Gradient
Blade
Perpendicular
Fluid Flow
Transverse
Decompose
Three-dimensional

Keywords

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

Cite this

Wilson, S., Duffy, B., & Lee, M. E. M. (2006). A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004 (Vol. 8, pp. 308-312). (Mathematics in Industry). Heidelberg: Springer. https://doi.org/10.1007/3-540-28073-1_49
Wilson, Stephen ; Duffy, Brian ; Lee, M.E.M. / A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. editor / A. Di Bucchianico ; R.M.M. Mattheij ; M.A. Peletier. Vol. 8 Heidelberg : Springer, 2006. pp. 308-312 (Mathematics in Industry).
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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.",
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Wilson, S, Duffy, B & Lee, MEM 2006, A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. in A Di Bucchianico, RMM Mattheij & MA Peletier (eds), Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. vol. 8, Mathematics in Industry, Springer, Heidelberg, pp. 308-312. https://doi.org/10.1007/3-540-28073-1_49

A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. / Wilson, Stephen; Duffy, Brian; Lee, M.E.M.

Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. ed. / A. Di Bucchianico; R.M.M. Mattheij; M.A. Peletier. Vol. 8 Heidelberg : Springer, 2006. p. 308-312 (Mathematics in Industry).

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

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N2 - 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.

AB - 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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Wilson S, Duffy B, Lee MEM. A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. In Di Bucchianico A, Mattheij RMM, Peletier MA, editors, Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. Vol. 8. Heidelberg: Springer. 2006. p. 308-312. (Mathematics in Industry). https://doi.org/10.1007/3-540-28073-1_49