The swirling flows of water and CTAC (cetyltrimethyl ammonium chloride) surfactant solutions in an open cylindrical container with a rotating disc at the bottom were experimentally investigated by use of a double-pulsed PIV (particle image velocimetry) system. The flow pattern in the meridional plane for water at the present high Reynolds number of differed greatly from that at low Reynolds numbers, and an inertia-driven vortex was pushed to the corner between the free surface and the cylindrical wall by a counter-rotating vortex caused by vortex breakdown. For the surfactant solution flow, the inertia-driven vortex located at the corner between the bottom and the cylindrical wall whereas an elasticity-driven reverse vortex governed the majority of the flow field. The rotation of the fluid caused a deformation of the free surface with a dip at the center. The dip was largest for the water case and decreased with increasing surfactant concentration. The value of the dip was related to determining the solution viscoelasticity for the onset of drag reduction.
Issue Section:
Special Section on the Fluid Mechanics and Rheology of Nonlinear Materials at the Macro, Micro and Nano Scale
1.
Li
, F. C.
, Wang
, D. Z.
, Kawaguchi
, Y.
, and Hishida
, K.
, 2004, “Simultaneous Measurement of Velocity and Temperature Fluctuations in Thermal Boundary Layer in a Drag-Reducing Surfactant Solution Flow
,” Exp. Fluids
0723-4864, 36
, pp. 131
–140
.2.
Yu
, B.
, Li
, F. C.
, and Kawaguchi
, Y.
, 2004, “Numerical and Experimental Investigation of Turbulent Characteristics in a Drag-Reducing Flow With Surfactant Additives
,” Int. J. Heat Fluid Flow
0142-727X, 25
, pp. 961
–974
.3.
Nowak
, M.
, 2003, “Time-Dependent Drag Reduction and Ageing in Aqueous Solutions of a Cationic Surfactant
,” Exp. Fluids
0723-4864, 34
, pp. 397
–402
.4.
Elson
, T. P.
, and Garside
, J.
, 1983, “Drag Reduction in Aqueous Cationic Soap Solutions
,” J. Non-Newtonian Fluid Mech.
0377-0257, 12
, pp. 121
–133
.5.
Ohlendorf
, D.
, Interthal
, W.
, and Hoffmann
, H.
, 1986, “Surfactant Systems for Drag Reduction: Physico-Chemical Properties and Rheological Behavior
,” Rheol. Acta
0035-4511, 25
, pp. 468
–486
.6.
Rehage
, H.
, Wunderlich
, I.
, and Hoffmann
, H.
, 1986, “Shear Induced Phase Transitions in Dilute Aqueous Surfactant Solution
,” Prog. Colloid Polym. Sci.
0340-255X, 72
, pp. 51
–59
.7.
Rose
, G. D.
, and Foster
, K. L.
, 1989, “Drag Reduction and Rheological Properties of Cationic Viscoelastic Surfactant Formulations
,” J. Non-Newtonian Fluid Mech.
0377-0257, 31
, pp. 59
–85
.8.
Bewersdorff
, H. W.
, and Thiel
, H.
, 1993, “Turbulence Structure of Dilute Polymer and Surfactant Solution in Artificially Roughened Pipes
,” Appl. Sci. Res.
0003-6994, 50
, pp. 347
–368
.9.
Siginer
, A.
, 1984, “General Weissenberg Effect in Free Surface Rheometry, Part I: Analytical Consideration
,” ZAMP
0044-2275, 35
, pp. 545
–558
.10.
Siginer
, A.
, 1984, “General Weissenberg Effect in Free Surface Rheometry, Part II: Experiments
,” ZAMP
0044-2275, 35
, pp. 618
–633
.11.
Siginer
, A.
, 1984, “Free Surface on a Simple Fluid Between Rotating Eccentric Cylinders, Part I: Analytical Solution
,” J. Non-Newtonian Fluid Mech.
0377-0257, 15
, pp. 93
–108
.12.
Siginer
, A.
, and Beavers
, G. S.
, 1984, “Free Surface on a Simple Fluid Between Rotating Eccentric Cylinders. Part II: Experiments
,” J. Non-Newtonian Fluid Mech.
0377-0257, 15
, pp. 109
–126
.13.
Siginer
, A.
, 1991, “Viscoelastic Swirling Flow With Free Surface in Cylindrical Chambers
,” Rheol. Acta
0035-4511, 30
, pp. 159
–174
.14.
Bien
, F.
, and Penner
, S. S.
, 1970, “Velocity Profiles in Steady and Unsteady Rotating Flows for a Finite Cylindrical Geometry
,” Phys. Fluids
0031-9171, 13
, pp. 1665
–1671
.15.
Hill
, C. T.
, 1972, “Nearly Viscometric flow of Viscoelastic Fluids in the Disk and Cylindrical System, II: Experimental
,” Trans. Soc. Rheol.
0038-0032, 16
, pp. 213
–245
.16.
Escudier
, M. P.
, 1984, “Observations of the Flow Produced in a Cylindrical Container by a Rotating End Wall
,” Exp. Fluids
0723-4864, 2
, pp. 189
–196
.17.
Fujimura
, K.
, Koyama
, H. S.
, and Hyun
, J. M.
, 1997, “Time Dependent Vortex Breakdown in a Cylinder With a Rotating Lid
,” ASME J. Fluids Eng.
0098-2202, 119
, pp. 450
–453
.18.
Ogino
, F.
, Kawai
, K.
, Dohmoto
, T.
, and Takahashi
, T.
, 1999, “Velocity Distribution of the Flow in a Rotating Cylindrical Container With a Rotating Disc at the Liquid Surface
,” Kagaku Kogaku Ronbunshu
0386-216X, 25
, pp. 29
–36
.19.
Bohme
, G.
, Rubart
, L.
, and Stenger
, M.
, 1992, “Vortex Breakdown in Shear-Thinning Liquids: Experiment and Numerical Simulation
,” J. Non-Newtonian Fluid Mech.
0377-0257, 45
, pp. 1
–20
.20.
Day
, C.
, Harris
, J. A.
, Soria
, J.
, Boger
, D. V.
, and Welsh
, M. C.
, 1996, “Behavior of an Elastic Fluid in Cylindrical Swirling Flows
,” Exp. Therm. Fluid Sci.
0894-1777, 12
, pp. 250
–255
.21.
Escudier
, M. P.
, and Cullen
, L. M.
, 1996, “Flow of Shear-Thinning Liquid in a Cylindrical Container With a Rotating End Wall
,” Exp. Therm. Fluid Sci.
0894-1777, 12
, pp. 381
–384
.22.
Xue
, S. C.
, Phan-Thien
, N.
, and Tanner
, R. I.
, 1999, “Fully Three-Dimensional, Time-Dependent Numerical Simulations of Newtonian and Viscoelastic Swirling Flows in a Confined Cylinder-Part I. Method and Steady Flows
,” J. Non-Newtonian Fluid Mech.
0377-0257, 87
, pp. 337
–367
.23.
Bowen
, P. J.
, Davies
, A. R.
, and Walters
, K.
, 1991, “On Viscoelastic Effects in Swirling Flows
,” J. Non-Newtonian Fluid Mech.
0377-0257, 38
, pp. 113
–126
.24.
Siginer
, D. A.
, 2004, “On the Nearly Viscometric Torsional Motion of Viscoelastic Liquids Between Shrouded Rotating Disks
,” ASME J. Appl. Mech.
0021-8936, 71
, pp. 305
–313
.25.
Stokes
, J. R.
, Graham
, L. J. W.
, Lawson
, N. J.
, and Boger
, D. V.
, 2001, “Swirling Flow of Viscoelastic Fluids. Part 1. Interaction Between Inertia and Elasticity
,” J. Fluid Mech.
0022-1120, 429
, pp. 67
–115
.26.
Stokes
, J. R.
, Graham
, L. J. W.
, Lawson
, N. J.
, and Boger
, D. V.
, 2001, “Swirling Flow of Viscoelastic Fluids. Part 2. Elastic Effects
,” J. Fluid Mech.
0022-1120, 429
, pp. 67
–115
.27.
Goller
, H.
, and Ranov
, T.
, 1968, “Unsteady Rotating Flow in a Cylinder With Free Surface
,” J. Basic Eng.
0021-9223, 90
, pp. 445
–454
.28.
Arora
, K.
, Sureshkumar
, R.
, Scheiner
, M. P.
, and Piper
, J. L.
, 2002, “Surfactant-Induced Effects on Turbulent Swirling Flows
,” Rheol. Acta
0035-4511, 41
, pp. 25
–34
.29.
Spohn
, A.
, Mory
, M.
, and Hopfinger
, E. J.
, 1993, “Observation of Vortex Breakdown in an Open Cylindrical Container With a Rotating Bottom
,” Exp. Fluids
0723-4864, 14
, pp. 70
–77
.30.
Bohme
, G.
, Voss
, R.
, and Warnercke
, W.
, 1985, “Die Frei Oberflache Einer Flussigkeit Uber Einer Rotierenden Scheibe
,” Rheol. Acta
0035-4511, 24
, pp. 22
–23
.31.
Siginer
, D. A.
, and Knight
, R. W.
, 1993, “Swirling Free Surface Flow in Cylindrical Containers
,” J. Eng. Math.
0022-0833, 27
, pp. 245
–264
.32.
Siginer
, D. A.
, 1989, “Free Surface on a Viscoelastic Liquid in a Cylinder with Spinning Bottom
,” Macromol. Chem.
, 23
, pp. 73
–90
.33.
Siginer
, D. A.
, 1986, “Torsional Oscillations of a Rod in a Layered Medium of Simple Fluids
,” Int. J. Eng. Sci.
0020-7225, 24
, pp. 631
–640
.34.
Kawaguchi
, Y.
, Wei
, J. J.
, Yu
, B.
, and Feng
, Z. P.
, 2003, “Rheological Characterization of Drag-Reducing Cationic Surfactant Solution: Shear and Elongational Viscosities of Dilute Solution
,” in Proceedings of the 4th ASME/JSME Joint Fluids Engineering Conference
, Honolulu, Hawaii
.35.
Yu
, B.
, Wei
, J. J.
, and Kawaguchi
, Y.
, 2004, “Swirling Flow of a Viscoelastic Fluid With Free Surface, Part II: Numerical Analysis With Extended Marker-and-Cell Method
,” ASME J. Fluids Eng.
0098-2202, 128
, pp. 77
–87
.36.
Giesekus
, H.
, 1982, “A Simple Constitutive Equation for Polymer Fluids Based on the Concept Deformation-Dependent Tensorial Mobility
,” J. Non-Newtonian Fluid Mech.
0377-0257, 11
, pp. 69
–109
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