-
1
-
-
0021443337
-
"Stirring by chaotic advection"
-
JFLSA70022-20
-
H. Aref, "Stirring by chaotic advection," J. Fluid Mech.JFLSA70022-1120 143, 1 (1984).
-
(1984)
J. Fluid Mech.
, vol.143
, pp. 1
-
-
Aref, H.1
-
2
-
-
85040901747
-
-
(Cambridge University Press, Cambridge,)
-
J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989).
-
(1989)
The Kinematics of Mixing: Stretching, Chaos, and Transport
-
-
Ottino, J.M.1
-
3
-
-
0026017641
-
"The statistics of stretching and stirring in chaotic flows"
-
PFADEB0899-821310.1063/1.858013
-
F. J. Muzzio and P. D. Swanson, "The statistics of stretching and stirring in chaotic flows," Phys. Fluids A PFADEB0899-821310.1063/ 1.858013 3, 822 (1991).
-
(1991)
Phys. Fluids A.
, vol.3
, pp. 822
-
-
Muzzio, F.J.1
Swanson, P.D.2
-
4
-
-
0022773947
-
"Laminar mixing and chaotic mixing in several cavity flows"
-
JFLSA70022-1120
-
W. L. Chien, H. Rising, and J. M. Ottino, "Laminar mixing and chaotic mixing in several cavity flows," J. Fluid Mech.JFLSA70022-1120 170, 355 (1986).
-
(1986)
Fluid Mech.
, vol.170
, pp. 355
-
-
Chien, W.L.1
Rising, H.2
Ottino, J.M.3
-
5
-
-
0033592591
-
"Persistent patterns in transient chaotic fluid mixing"
-
NATUAS0028-0836 10.1038/44529
-
D. Rothstein, E. Henry, and J. P. Gollub, "Persistent patterns in transient chaotic fluid mixing," Nature (London)NATUAS0028-083610.1038/44529 401, 770 (1999).
-
(1999)
Nature (London)
, vol.401
, pp. 770
-
-
Rothstein, D.1
Henry, E.2
Gollub, J.P.3
-
6
-
-
0023045012
-
"Experimental study of Lagrangian turbulence in Stokes flow"
-
PRLAAZ1364-5021
-
J. Chaiken, R. Chevray, M. Tabor, and Q. M. Tan, "Experimental study of Lagrangian turbulence in Stokes flow," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 408, 165 (1986).
-
(1986)
Proc. Soc. London Ser. A
, vol.408
, pp. 165
-
-
Chaiken, J.1
Chevray, R.2
Tabor, M.3
Tan, Q.M.4
-
7
-
-
0026051064
-
"A comparative computational and experimental study of chaotic mixing in viscous fluids"
-
JFLSA70022-1120
-
I. C. Walton and S. H. Bittleston, "A comparative computational and experimental study of chaotic mixing in viscous fluids," J. Fluid Mech.JFLSA70022-1120 222, 39 (1991).
-
(1991)
J. Fluid Mech.
, vol.222
, pp. 39
-
-
Walton, I.C.1
Bittleston, S.H.2
-
8
-
-
0025492179
-
"Purely elastic instability in Taylor-Couette flow"
-
and, JFLSA70022-1120
-
R. G Larson, E. S. G. Shaqfeh, and S. J. Muller, "Purely elastic instability in Taylor-Couette flow," J. Fluid Mech.JFLSA70022-1120 218, 573 (1990).
-
(1990)
Fluid Mech.
, vol.218
, pp. 573
-
-
Larson, R.G.1
Shaqfeh, E.S.G.2
Muller, S.J.3
-
9
-
-
0000764322
-
"Viscoelastic Poiseuille flow through a curved channel: A new elastic instability"
-
APFADEB0899-821310.1063/1.858223
-
Y. L. Joo and E. S. G. Shaqfeh, "Viscoelastic Poiseuille flow through a curved channel: A new elastic instability," Phys. Fluids APFADEB0899-821310.1063/1.858223 3, 1691 (1991).
-
(1991)
Phys. Fluids A.
, vol.3
, pp. 1691
-
-
Joo, Y.L.1
Shaqfeh, E.S.G.2
-
10
-
-
0028461866
-
"Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks"
-
JFLSA70022-1120
-
J. A. Byars, A. Oztekin, R. A. Brown, and G. H. McKinley, "Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks," J. Fluid Mech.JFLSA70022-1120 271, 174 (1994).
-
(1994)
Fluid Mech.
, vol.271
, pp. 174
-
-
Byars, J.A.1
Oztekin, A.2
Brown, R.A.3
McKinley, G.H.4
-
11
-
-
0344936448
-
"Purely elastic instabilities in viscometric flows"
-
ARVFA30066-418910.1146/annurev.fluid.28.1.129
-
E. S. G. Shaqfeh, "Purely elastic instabilities in viscometric flows," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.28.1.129 28, 129 (1996).
-
(1996)
Annu. Rev. Fluid Mech.
, vol.28
, pp. 129
-
-
Shaqfeh, E.S.G.1
-
12
-
-
0000366770
-
"Mechanisms of elastic instabilities in Couette flow of polymer solutions: Experiments"
-
PHFLE61070-663110.1063/1.869764
-
A. Groisman and V. Steinberg, "Mechanisms of elastic instabilities in Couette flow of polymer solutions: Experiments," Phys. Fluids PHFLE61070-663110.1063/1.869764 10, 2451 (1998).
-
(1998)
Phys. Fluids
, vol.10
, pp. 2451
-
-
Groisman, A.1
Steinberg, V.2
-
13
-
-
0035945907
-
"Swirling flow of viscoelastic fluids. Part 2. Elastic effects"
-
and, JFLSA70022-112010.1017/S0022112000002901
-
J. R. Stokes, L. J. W. Graham, N. J. Lawson, and D. V. Boger, "Swirling flow of viscoelastic fluids. Part 2. Elastic effects," J. Fluid Mech.JFLSA70022-112010.1017/S0022112000002901 429, 117 (2001).
-
(2001)
Fluid Mech.
, vol.429
, pp. 117
-
-
Stokes, J.R.1
Graham, L.J.W.2
Lawson, N.J.3
Boger, D.V.4
-
14
-
-
0028372504
-
"The effect of fluid rheology on the elastic Taylor-Couette instability"
-
and, JNFMDI0377-025710.1016/0377-0257(94)85012-7
-
R. G Larson, S. J. Muller, and E. S. G. Shaqfeh, "The effect of fluid rheology on the elastic Taylor-Couette instability," J. Non-Newtonian Fluid Mech.JNFMDI0377-025710.1016/0377-0257(94)85012-7 51, 195 (1994).
-
(1994)
Non-Newtonian Fluid Mech.
, vol.51
, pp. 195
-
-
Larson, R.G.1
Muller, S.J.2
Shaqfeh, E.S.G.3
-
15
-
-
0034039297
-
"Viscous fingering in a shear-thinning fluid"
-
and, PHFLE61070-663110.1063/1.870303
-
A. Lindner, D. Bonn, and J. Meunier, "Viscous fingering in a shear-thinning fluid," Phys. FluidsPHFLE61070-663110.1063/1.870303 12, 256 (2000).
-
(2000)
Phys. Fluids
, vol.12
, pp. 256
-
-
Lindner, A.1
Bonn, D.2
Meunier, J.3
-
16
-
-
0042784700
-
"Lift forces on a cylindrical particle in a plane Poiseuille flow of shear thinning fluids"
-
PHFLE61070-663110.1063/1.1589483
-
J. Wang and D. D. Joseph, "Lift forces on a cylindrical particle in a plane Poiseuille flow of shear thinning fluids," Phys. Fluids PHFLE61070-663110.1063/1.1589483 15, 2267 (2003).
-
(2003)
Phys. Fluids
, vol.15
, pp. 2267
-
-
Wang, J.1
Joseph, D.D.2
-
17
-
-
0000283331
-
"Increase in regularity by polymer addition during chaotic mixing in two-dimensional flows"
-
PRLTAO0031-900710.1103/PhysRevLett.64.874
-
C. W. Leong and J. M. Ottino, "Increase in regularity by polymer addition during chaotic mixing in two-dimensional flows," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.64.874 64, 874 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 874
-
-
Leong, C.W.1
Ottino, J.M.2
-
18
-
-
0027475852
-
"Mixing of a viscoelastic fluid in a time-periodic flow"
-
JFLSA70022-1120
-
T. C. Niederkorn and J. M. Ottino, "Mixing of a viscoelastic fluid in a time-periodic flow," J. Fluid Mech.JFLSA70022-1120 256, 243 (1993).
-
(1993)
Fluid Mech.
, vol.256
, pp. 243
-
-
Niederkorn, T.C.1
Ottino, J.M.2
-
19
-
-
0029167323
-
"Mixing of a generalized Newtonian fluid in a cavity"
-
JFEGA40098-2202
-
F. H. Ling and X. Zhang, "Mixing of a generalized Newtonian fluid in a cavity," J. Fluids Eng.JFEGA40098-2202 117, 75 (1995).
-
(1995)
J. Fluids Eng.
, vol.117
, pp. 75
-
-
Ling, F.H.1
Zhang, X.2
-
20
-
-
0029673603
-
"Chaotic advection in creeping flow of viscoelastic fluids between slowly modulated eccentric cylinders"
-
PHFLE61070-663110.1063/1.868960
-
S. Kumar and G. M. Homsy, "Chaotic advection in creeping flow of viscoelastic fluids between slowly modulated eccentric cylinders," Phys. Fluids PHFLE61070-663110.1063/1.868960 8, 1774 (1996).
-
(1996)
Phys. Fluids
, vol.8
, pp. 1774
-
-
Kumar, S.1
Homsy, G.M.2
-
21
-
-
0033912217
-
"A numerical study of viscoelastic effects in chaotic mixing between eccentric cylinders"
-
JFLSA70022-112010.1017/S0022112000008326
-
Y. Fan, R. I. Tanner, and N. Phan-Thien, "A numerical study of viscoelastic effects in chaotic mixing between eccentric cylinders," J. Fluid Mech. JFLSA70022-112010.1017/S0022112000008326 412, 197 (2000).
-
(2000)
J. Fluid Mech.
, vol.412
, pp. 197
-
-
Fan, Y.1
Tanner, R.I.2
Phan-Thien, N.3
-
22
-
-
0028534448
-
"Chaotic mixing of shear-thinning fluids"
-
AICEAC0001-154110.1002/aic.690401103
-
T. C. Niederkorn and J. M. Ottino, "Chaotic mixing of shear-thinning fluids," AIChE J. AICEAC0001-154110.1002/ aic.690401103 40, 1782 (1994).
-
(1994)
AIChE J.
, vol.40
, pp. 1782
-
-
Niederkorn, T.C.1
Ottino, J.M.2
-
23
-
-
0017532873
-
"Highly elastic constant-viscosity fluid"
-
JNFMDI077-025710.1016/077-0257(77)80014-1
-
D. V. Boger, "Highly elastic constant-viscosity fluid," J. Non-Newtonian Fluid Mech.JNFMDI0377-025710.1016/0377-0257(77)80014-1 3, 87 (1977).
-
(1977)
J. Non-Newtonian Fluid Mech.
, vol.3
, pp. 87
-
-
Boger, D.V.1
-
24
-
-
0035912190
-
"Efficient mixing at low Reynolds numbers using polymer additives"
-
NATUAS0028-083610.1038/35073524
-
A. Groisman and V. Steinberg, "Efficient mixing at low Reynolds numbers using polymer additives," Nature (London)NATUAS0028-083610.1038/35073524 410, 905 (2001).
-
(2001)
Nature (London)
, vol.410
, pp. 905
-
-
Groisman, A.1
Steinberg, V.2
-
25
-
-
84981416269
-
"Agitation of non-Newtonian fluids"
-
AICEAC0001-154110.1002/aic.690030103
-
A. B. Metzner and R. E. Otto, "Agitation of non-Newtonian fluids," AIChE J. AICEAC0001-154110.1002/aic.690030103 3, 3 (1957).
-
(1957)
AIChE J.
, vol.3
, pp. 3
-
-
Metzner, A.B.1
Otto, R.E.2
-
26
-
-
0023825799
-
"Aspects of mixing in rheologically complex fluids"
-
CERDEE0263-8762
-
A. W. Nienow and T. P. Elson, "Aspects of mixing in rheologically complex fluids," Chem. Eng. Res. Des.CERDEE0263-8762 66, 5 (1988).
-
(1988)
Chem. Eng. Res. Des.
, vol.66
, pp. 5
-
-
Nienow, A.W.1
Elson, T.P.2
-
27
-
-
0034078037
-
"Mixing of viscous polymer liquids"
-
PHFLE61070-663110.1063/1.870392
-
J. R. Stokes and D. V. Boger, "Mixing of viscous polymer liquids," Phys. FluidsPHFLE61070-663110.1063/1.870392 12, 1411 (2000).
-
(2000)
Phys. Fluids
, vol.12
, pp. 1411
-
-
Stokes, J.R.1
Boger, D.V.2
-
28
-
-
2142805568
-
"Experimental measurements of stretching fields in fluid mixing"
-
PRLTAO0031-900710.1103/PhysRevLett.88.254501
-
G. A. Voth, G. Haller, and J. P. Gollub, "Experimental measurements of stretching fields in fluid mixing," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.88.254501 88, 254501 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 254501
-
-
Voth, G.A.1
Haller, G.2
Gollub, J.P.3
-
29
-
-
0141761354
-
"Mixing rates and symmetry breaking in two-dimensional chaotic flow"
-
PHFLE61070-663110.1063/1.1596915
-
G. A. Voth, T. C. Saint, G. Dobler, and J. P. Gollub, "Mixing rates and symmetry breaking in two-dimensional chaotic flow," Phys. Fluids PHFLE61070-663110.1063/1.1596915 15, 2560 (2003).
-
(2003)
Phys. Fluids
, vol.15
, pp. 2560
-
-
Voth, G.A.1
Saint, T.C.2
Dobler, G.3
Gollub, J.P.4
-
30
-
-
0030679577
-
"Are flows electromagnetically forced in thin stratified layers two dimensional?"
-
and, PHFLE61070-663110.1063/1.8641
-
J. Paret, D. Marteau, O. Paireau, and P. Tabeling, "Are flows electromagnetically forced in thin stratified layers two dimensional?" Phys. FluidsPHFLE61070-663110.1063/1.869419 9, 3102 (1997).
-
(1997)
Phys. Fluids
, vol.9
, pp. 3102
-
-
Paret, J.1
Marteau, D.2
Paireau, O.3
Tabeling, P.4
-
31
-
-
0003423425
-
-
and, 2nd ed. (Wiley, New York,)
-
R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Fluid Mechanics, Vol. 1, 2nd ed. (Wiley, New York, 1987).
-
(1987)
Dynamics of Polymeric Liquids: Fluid Mechanics
, vol.1
-
-
Bird, R.B.1
Curtiss, C.F.2
Armstrong, R.C.3
Hassager, O.4
-
32
-
-
20444401277
-
-
It is difficult to reporduce the rms velocity perfectly due to conductivity variations; it varies by up to 6% from run to run. However, these variations are not enough to affect our conclusions
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It is difficult to reporduce the rms velocity perfectly due to conductivity variations; it varies by up to 6% from run to run. However, these variations are not enough to affect our conclusions
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33
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20444366646
-
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See EPAPS Document No. E-PHFLE6-17-045505 for video animations of the velocity fields. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage Video animations of the velocity fields are also available at www.haverford.edu/physics-astro/gollub/polymer_mixing
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See EPAPS Document No. E-PHFLE6-17-045505 for video animations of the velocity fields. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html). Video animations of the velocity fields are also available at www.haverford.edu/physics-astro/ gollub/polymer_mixing.
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