Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers
Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers
The problem of isothermal flow of a shear-thinning (pseudoplastic) fluid in the gap between two concentric cylinders is considered. A pump provides an axial pressure gradient which causes flow down the device. The outer cylinder is fixed and has scrapers attached to it to cause flow mixing, whilst the inner cylinder rotates about its axis to provide shear and thus thin the fluid. The goal is to determine the optimal distribution of power between rotation and pumping. Although ostensibly the flow is nonlinear and three-dimensional we show that judicious use of fairly straightforward asymptotic methods can yield a great deal of information about the device, including cross-sectional flow predictions and throughput results. Furthermore, these results are derived for a variety of different flow conditions. Some numerical calculations are carried out using a commercial CFD code. These show good agreement with the asymptotic analysis.
asymptotic analysis, food industry, lubrication theory, shear-thinning fluids, slow flow
345-366
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
2001
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Fitt, A.D. and Please, C.P.
(2001)
Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers.
Journal of Engineering Mathematics, 39 (1), .
(doi:10.1023/A:1004834004732).
Abstract
The problem of isothermal flow of a shear-thinning (pseudoplastic) fluid in the gap between two concentric cylinders is considered. A pump provides an axial pressure gradient which causes flow down the device. The outer cylinder is fixed and has scrapers attached to it to cause flow mixing, whilst the inner cylinder rotates about its axis to provide shear and thus thin the fluid. The goal is to determine the optimal distribution of power between rotation and pumping. Although ostensibly the flow is nonlinear and three-dimensional we show that judicious use of fairly straightforward asymptotic methods can yield a great deal of information about the device, including cross-sectional flow predictions and throughput results. Furthermore, these results are derived for a variety of different flow conditions. Some numerical calculations are carried out using a commercial CFD code. These show good agreement with the asymptotic analysis.
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Published date: 2001
Keywords:
asymptotic analysis, food industry, lubrication theory, shear-thinning fluids, slow flow
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Local EPrints ID: 29125
URI: http://eprints.soton.ac.uk/id/eprint/29125
ISSN: 0022-0833
PURE UUID: d558fd96-5ac6-4777-819f-9ab447173d71
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Date deposited: 10 May 2006
Last modified: 15 Mar 2024 07:29
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Author:
A.D. Fitt
Author:
C.P. Please
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