DOI: 10.1098/rsta.1990.0161. Chaotic advection of fluid particles

10.1098/rsta.1990.0161

Crossref journal-article

The Royal Society

Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences (175)

Abstract

Particle motion in a fluid can be chaotic even when the flow field is very simple from an eulerian point of view. This basic feature of fluid kinematics, known as chaotic advection, is reviewed and a number of applications are cited. The notion of a chaotic ‘kinematic template’ underlying dynamical processes is introduced and discussed. Some emerging directions of investigation for this application of chaos to fluid mechanics are indicated.

Bibliography

Chaotic advection of fluid particles. (1990). Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 333(1631), 273â288.

Authors 0

None

References 54 Referenced 100

sep aration d evice (A N ) A ref & J o n es (1989)
an om alou s dispersion (A N ) J o n es & Y o u n g (1989)
(A N ) F a Icio n i et al. (1988)
(A N ) P ierreh u m b ert (1988)
(N A) L ich ter etal (1990)
(N A) M uzzio & O ttin o (1988)
(A N ) A rter (1983)
(E N ) S olom on & G ollub (1988)
(A N ) H o Im et al. (1990)
E a r th 's m an tle (A N ) K ello g g & T u rco tte (1990)
(A N ) M cL aughlin (1988)
(A N ) K h ak h ar & O ttin o (1986)
(E A) O sborne etal (1986)
`blinking v o r t e x ' (A N ) A ref (1984)
m odel flow s (A N ) K h ak h ar etal (1986)
(A N ) A ref etal (1988)
(E A N ) O ttin o (1 9 8 9 a b 1990)
(A N ) Cox et al. (1990)
(A N ) H en on (1969)
`ABC flo w ' (A N ) H en on (1966)
`ABC flo w ' (A N ) D om bre et al. (1986)
so u rce/sin k (A N ) J o n es & A ref (1988)
`ABC m a p ' (A N ) F ein g o Id et al. (1988)
w horls and tendrils (A) B erry etal (1979)
spirals (A) M offatt (1984)
spirals (A N ) G ilbert (1988)
(E A) O ttin o etal (1988)
role o f sy m m etry (A N ) B elosh ap k in etal (1989)
tw isted pipe (A N ) J o n es etal (1989)
(A N ) S m ith & Spiegel (1985)
`eccentric c y lin d e rs' (A N ) A ref & B alachan d ar (1986)
`eccentric c y lin d e rs' (E A N ) Chaiken et al. (1986 1987)
` c a v ity /e x tr u d e r ' (E A) Chien et al. (1986)
`p artitioned pipe m IX e r ' (A N ) K hak h ar et al. (1987)
spherical `d r o p le t' (A N ) B ajer & M offatt (1990)
`eccentric c y lin d e rs' (E A N ) Sw anson & O ttin o (1990)
W adden Sea (A N) Zim m erm an (1986)
(A N ) P asm an ter (1988)
restricted fou r-vortex (A N ) A ref & P om p h rey (1980)
restricted fou r-vortex (A) Ziglin (1980)
(A N) A ref etal (1989)
(A N ) K n ob loch & W eiss (1987)
R am shankar etal (1990)
A ref H . 1979 M otion o f th ree v o rtices. P h y s. F Iu id s 2 2 3 93-4 0 0 .
A ref H . 1 9 8 2 a A n id ea lized m od el o f stirrin g. W oods H ole Oceanogr. In st. Tech. R e p . 82-45 1 8 8 -1 8 9 .
{'key': 'p_46', 'first-page': '1178', 'article-title': '6 S tirrin g b y ch a o tic a d v ectio n . B u Il. P h y s', 'volume': '27', 'year': '1982', 'journal-title': 'Soc.'} / Soc. / 6 S tirrin g b y ch a o tic a d v ectio n . B u Il. P h y s (1982)
A ref H . 1983 In te g ra b le ch a o tic an d tu rb u len t v o r te x m o tio n in tw o -d im en sio n a l flow s. A . R ev. F Iu id Mech.15 3 4 5 -3 8 9 .
A ref H . 1984 S tirrin g b y ch a o tic a d v ectio n . J . F Iu id M ech. 143 1-21.
A ref H . 1989 T h ree-v o r tex m o tio n w ith zero to ta l circu la tio n : A d d en d u m . J . M ath . P h y s. (ZA M P) 40 4 9 5 -5 0 0 .
A ref H. & B alach an d ar S. 1986 C haotic a d v ectio n in a S to k es flow . P h ys. F Iu id s 29 3515-3521. (10.1063/1.865828)
A ref H . & J o n es S. W . 1989 E n h a n ced sep a ra tio n o f d iffu sin g p a rticles b y ch a o tic a d v e c tio n . P h ys. F Iu id s A 1 4 7 0 -4 7 4 .
A ref H . & P o m p h rey N . 1980 In teg ra b le and ch a o tic m o tio n s o f four v o rtices. P h ys. L ett. A 78 2 9 7 -3 0 0 .
Aref H . & P o m p h rey N . 1982 In teg ra b le and ch a o tic m o tio n s o f four v o rtices. I. T h e case o f id en tica l vortices. Proc. R. Soc. L ou d. A 380 359-387. (10.1098/rspa.1982.0047)
Aref H . J o n es S. W . & T h o m a s O. M. C om pu ters P h ys. 2(6 ) 22-27. 1 9 8 8 a C om p u tin g p a rticle m o tio n s in fluid flow s.

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 2:15 p.m.)
Deposited	4 years, 6 months ago (Feb. 20, 2021, 5:37 p.m.)
Indexed	1 year, 5 months ago (March 15, 2024, 3:15 p.m.)
Issued	34 years, 9 months ago (Nov. 15, 1990)
Published	34 years, 9 months ago (Nov. 15, 1990)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	34 years, 9 months ago (Nov. 15, 1990)

Funders 0

None

BibTeX

@article{1990, volume={333}, ISSN={2054-0299}, url={http://dx.doi.org/10.1098/rsta.1990.0161}, DOI={10.1098/rsta.1990.0161}, number={1631}, journal={Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences}, publisher={The Royal Society}, year={1990}, month=nov, pages={273–288} }

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