Mixing of non-Newtonian fluids in time-periodic cavity flows

P.D. Anderson, O.S. Galaktionov, G.W.M. Peters, F.N. Vosse, van de, H.E.H. Meijer

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Abstract

Fluid mixing in two- and three-dimensional time-periodic cavity flows as a function of rheological fluid parameters is studied. Computational methods are applied to obtain accurate descriptions of the velocity fields, which form the basis of the mixing analysis. In addition to some classical techniques, like Poincare maps and the analysis of periodic points, a recently developed mapping method is used to determine mixing efficiency over a wide range of different flow parameters. Within this framework, different mixing protocols can be evaluated with respect to their long term mixing behaviour and compared quantitatively. It is shown that local 'optimal' parameter settings for mixing of Newtonian fluids can result in a considerable worse mixing behaviour for non-Newtonian fluids, and vice versa, illustrating the importance of taking the rheology of the fluid into account. (C) 2000 Elsevier Science B.V. All rights reserved
Original languageEnglish
Pages (from-to)265-286
JournalJournal of Non-Newtonian Fluid Mechanics
Volume93
Issue number2-3
DOIs
Publication statusPublished - 2000

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Cavity Flow
cavity flow
Non-Newtonian Fluid
Fluids
fluids
Fluid
Rheology
Newtonian fluids
Poincaré Map
Periodic Points
Newtonian Fluid
Optimal Parameter
Computational methods
rheology
Computational Methods
Velocity Field
velocity distribution
Three-dimensional
Term

Cite this

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title = "Mixing of non-Newtonian fluids in time-periodic cavity flows",
abstract = "Fluid mixing in two- and three-dimensional time-periodic cavity flows as a function of rheological fluid parameters is studied. Computational methods are applied to obtain accurate descriptions of the velocity fields, which form the basis of the mixing analysis. In addition to some classical techniques, like Poincare maps and the analysis of periodic points, a recently developed mapping method is used to determine mixing efficiency over a wide range of different flow parameters. Within this framework, different mixing protocols can be evaluated with respect to their long term mixing behaviour and compared quantitatively. It is shown that local 'optimal' parameter settings for mixing of Newtonian fluids can result in a considerable worse mixing behaviour for non-Newtonian fluids, and vice versa, illustrating the importance of taking the rheology of the fluid into account. (C) 2000 Elsevier Science B.V. All rights reserved",
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Mixing of non-Newtonian fluids in time-periodic cavity flows. / Anderson, P.D.; Galaktionov, O.S.; Peters, G.W.M.; Vosse, van de, F.N.; Meijer, H.E.H.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 93, No. 2-3, 2000, p. 265-286.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Mixing of non-Newtonian fluids in time-periodic cavity flows

AU - Anderson, P.D.

AU - Galaktionov, O.S.

AU - Peters, G.W.M.

AU - Vosse, van de, F.N.

AU - Meijer, H.E.H.

PY - 2000

Y1 - 2000

N2 - Fluid mixing in two- and three-dimensional time-periodic cavity flows as a function of rheological fluid parameters is studied. Computational methods are applied to obtain accurate descriptions of the velocity fields, which form the basis of the mixing analysis. In addition to some classical techniques, like Poincare maps and the analysis of periodic points, a recently developed mapping method is used to determine mixing efficiency over a wide range of different flow parameters. Within this framework, different mixing protocols can be evaluated with respect to their long term mixing behaviour and compared quantitatively. It is shown that local 'optimal' parameter settings for mixing of Newtonian fluids can result in a considerable worse mixing behaviour for non-Newtonian fluids, and vice versa, illustrating the importance of taking the rheology of the fluid into account. (C) 2000 Elsevier Science B.V. All rights reserved

AB - Fluid mixing in two- and three-dimensional time-periodic cavity flows as a function of rheological fluid parameters is studied. Computational methods are applied to obtain accurate descriptions of the velocity fields, which form the basis of the mixing analysis. In addition to some classical techniques, like Poincare maps and the analysis of periodic points, a recently developed mapping method is used to determine mixing efficiency over a wide range of different flow parameters. Within this framework, different mixing protocols can be evaluated with respect to their long term mixing behaviour and compared quantitatively. It is shown that local 'optimal' parameter settings for mixing of Newtonian fluids can result in a considerable worse mixing behaviour for non-Newtonian fluids, and vice versa, illustrating the importance of taking the rheology of the fluid into account. (C) 2000 Elsevier Science B.V. All rights reserved

U2 - 10.1016/S0377-0257%2800%2900120-8

DO - 10.1016/S0377-0257%2800%2900120-8

M3 - Article

VL - 93

SP - 265

EP - 286

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 2-3

ER -