Numerical and experimental characterisation of a family of two-roll-mill flows

T. J. Price; T. Mullin; J. J. Kobine

doi:10.1098/rspa.2002.1022

Numerical and experimental characterisation of a family of two-roll-mill flows

T. J. Price, T. Mullin, J. J. Kobine

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22 Citations (Scopus)

Abstract

Two–dimensional creeping flow generated by a two–roll mill in a cylindrical domain is investigated numerically and experimentally for arbitrary ratios Ø of the angular velocities of the inner cylinders. The Stokes flow in the two–roll–mill domain is computed for various values of Ø using a least–squares approach, and it is compared with experimental visualizations of the flow field. This combined numerical and experimental study, together with critical–point concepts, has been used to uncover the complete sequence of complex transitions between the extreme cases of counter– and co–rotation. The results lead us to speculate that a continuous variation between the two end states may lead to an efficient chaotic advective mixer.

Original language	English
Pages (from-to)	117-135
Number of pages	19
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	459
Issue number	2029
DOIs	https://doi.org/10.1098/rspa.2002.1022
Publication status	Published - 2003

Keywords

Stokes flow
Streamline topology
Hyperbolic saddle point
Mixing

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10.1098/rspa.2002.1022

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title = "Numerical and experimental characterisation of a family of two-roll-mill flows",

abstract = "Two–dimensional creeping flow generated by a two–roll mill in a cylindrical domain is investigated numerically and experimentally for arbitrary ratios {\O} of the angular velocities of the inner cylinders. The Stokes flow in the two–roll–mill domain is computed for various values of {\O} using a least–squares approach, and it is compared with experimental visualizations of the flow field. This combined numerical and experimental study, together with critical–point concepts, has been used to uncover the complete sequence of complex transitions between the extreme cases of counter– and co–rotation. The results lead us to speculate that a continuous variation between the two end states may lead to an efficient chaotic advective mixer.",

keywords = "Stokes flow, Streamline topology, Hyperbolic saddle point, Mixing",

author = "Price, {T. J.} and T. Mullin and Kobine, {J. J.}",

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T1 - Numerical and experimental characterisation of a family of two-roll-mill flows

AU - Price, T. J.

AU - Mullin, T.

AU - Kobine, J. J.

N1 - dc.publisher: The Royal Society

PY - 2003

Y1 - 2003

N2 - Two–dimensional creeping flow generated by a two–roll mill in a cylindrical domain is investigated numerically and experimentally for arbitrary ratios Ø of the angular velocities of the inner cylinders. The Stokes flow in the two–roll–mill domain is computed for various values of Ø using a least–squares approach, and it is compared with experimental visualizations of the flow field. This combined numerical and experimental study, together with critical–point concepts, has been used to uncover the complete sequence of complex transitions between the extreme cases of counter– and co–rotation. The results lead us to speculate that a continuous variation between the two end states may lead to an efficient chaotic advective mixer.

AB - Two–dimensional creeping flow generated by a two–roll mill in a cylindrical domain is investigated numerically and experimentally for arbitrary ratios Ø of the angular velocities of the inner cylinders. The Stokes flow in the two–roll–mill domain is computed for various values of Ø using a least–squares approach, and it is compared with experimental visualizations of the flow field. This combined numerical and experimental study, together with critical–point concepts, has been used to uncover the complete sequence of complex transitions between the extreme cases of counter– and co–rotation. The results lead us to speculate that a continuous variation between the two end states may lead to an efficient chaotic advective mixer.

KW - Stokes flow

KW - Streamline topology

KW - Hyperbolic saddle point

KW - Mixing

U2 - 10.1098/rspa.2002.1022

DO - 10.1098/rspa.2002.1022

M3 - Article

SN - 1364-5021

VL - 459

SP - 117

EP - 135

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2029

ER -

Numerical and experimental characterisation of a family of two-roll-mill flows

Abstract

Keywords

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