Characteristics of turbulent mass transfer around a rotating circular cylinder have been investigated by Direct Numerical Simulation. The concentration field was computed for three different cases of Schmidt number, Sc = 1, 10 and 100 at ReR* = 336. Our results confirm that the thickness of the Nernst diffusion layer decreases as Sc increases. Wall-limiting behavior within the diffusion layer was examined and compared with that of channel flow. Concentration fluctuation time scale was found to scale with r+2, while the time scale ratio nearly equals the Schmidt number throughout the diffusion layer. Scalar modeling closure constants based on gradient diffusion models were found to vary considerably within the diffusion layer. Results of an octant analysis show the significant role played by the ejection and sweep events just as is found for flat plate, channel, and pipe flow boundary layers. Turbulence budgets revealed a strong Sc dependence of turbulent scalar transport.
References
1.
Kader
, B. A.
, and Yaglom
, A. M.
, 1972, “Heat and Mass Transfer Laws for Fully Turbulent Wall Flows
,” Int. J. Heat Mass Transfer
, 15
(12
), pp. 2329
–2351
.2.
Kader
, B. A.
, 1981, “Temperature and Concentration Profiles in Fully Turbulent Boundary Layers
,” Int. J. Heat Mass Transfer
, 24
(9
), pp. 1541
–1544
.3.
Shaw
, D. A.
, and Hanratty
, T. J.
, 1977, “Turbulent Mass Transfer Rates to a Wall for Large Schmidt Numbers
”, AIChE J.
, 23
(1
), pp. 28
–37
.4.
Petty
, C. A.
, 1975, “A Statistical Theory For Mass Transfer Near Interfaces
,” Chem. Eng. Sci.
, 30
(4
), pp. 413
–418
.5.
Hasegawa
, Y.
, and Kasagi
, N.
, 2009, “Low-Pass Filtering Effects of Viscous Sublayer on High Schmidt Number Mass Transfer Close to a Solid Wall
,” Int. J. Heat Fluid Flow
, 30
(3
), pp. 525
–533
.6.
Mitrovic
, B. M.
, Le
, P. M.
, and Papavassiliou
, D. V.
, 2004, “On the Prandtl or Schmidt Number Dependence of the Turbulent Heat or Mass Transfer Coefficient
”, Chem. Eng. Sci.
, 59
(3
), pp. 543
–555
.7.
Na
, Y.
, Papavassiliou
, D. V.
, and Hanratty
, T. J.
, 1999, “Use of Direct Numerical Simulation to Study the Effect of Prandtl Number on Temperature Fields
,” Int. J. Heat Fluid Flow
, 20
(3
), pp. 187
–195
.8.
Eisenberg
, M.
, Tobias
, C. W.
, and Wilke
, C. R.
, 1954, “Ionic Mass Transfer and Concentration Polarization at Rotating Electrodes
,” J. Electrochem. Soc.
, 101
(6
), pp. 306
–320
.9.
Calmet
, I.
, and Magnaudet
, J.
, 1997, “Large-Eddy Simulation of High-Schmidt Number Mass Transfer in a Turbulent Channel Flow
,” Phys. Fluids
, 9
(2
), pp. 438
–455
.10.
Kim
, J.
, and Moin
, P.
, 1989, “Transport of Passive Scalars in a Turbulent Channel Flow
,” Turbulent Shear Flows
, 6
, pp. 85
–96
.11.
Kasagi
, N.
, Tomita
, Y.
, and Kuroda
, A.
, 1992, “Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow
,” ASME J. Heat Transfer
, 114
(3
), pp. 598
–606
.12.
Kawamura
, H.
, Ohsaka
, K.
, Abe
, H.
, And Yamamoto
, K.
, 1998, “DNS of Turbulent Heat Transfer in Channel Flow With Low to Medium-High Prandtl Number Fluid
,” Int. J. Heat Fluid Flow
, 19
(5
), pp. 482
–491
.13.
Piller
, M.
, Nobile
, E.
, and Hanratty
, T. J.
, 2002, “DNS Study of Turbulent Transport at Low Prandtl Numbers in a Channel Flow
,” J. Fluid Mech.
, 458
, pp. 419
–441
.14.
Gabe
, D. R.
, 1974, “The Rotating Cylinder Electrode
,” J. Appl. Electrochem.
, 4
(2
), pp. 91
–108
.15.
Silverman
, D. C.
, 1988, “Rotating Cylinder Electrode-Geometry Relationships for Prediction of Velocity-Sensitive Corrosion
,” Corrosion-NACE
, 44
(1
), pp. 42
–49
.16.
Yang
, K.-S.
, Hwang
, J.-Y.
, and Bremhorst
, K.
, 2003, “Numerical Investigation of Turbulent Flow Around a Rotating Stepped Cylinder for Corrosion Study
,” Can. J. Chem. Eng.
, 81
(1
), pp. 26
–36
.17.
Hwang
, J.-Y.
, Yang
, K.-S.
and Bremhorst
, K.
, 2007, “Direct Numerical Simulation of Turbulent Flow Around a Rotating Circular Cylinder
,” J. Fluids Eng.
, 129
(1
), pp. 40
–47
.18.
Hwang
, J.-Y.
, Yang
, K.-S.
, Yoon
, D.-H.
and Bremhorst
, K.
, 2008, “Flow Field Characterization of a Rotating Cylinder
,” Int. J. Heat Fluid Flow
, 29
(5
), pp. 1268
–1278
.19.
Leonard
, B. P.
, 1988, “Simple High-Accuracy Resolution Program for Convective Modeling of Discontinuity
,” Int. J. Numer. Method Fluids
, 8
(10
), pp. 1291
–1318
.20.
Akselvoll
, K.
, and Moin
, P.
, 1995, “Large Eddy Simulation of Turbulent Confined Coannular Jets and Turbulent Flow Over a Backward Facing Step,”
Department of Mechanical Engineering, Stanford University
, Palo Alto
, Report No. TF-63.21.
Na
, Y.
, and Hanratty
, T.J.
, 2000, “Limiting Behavior of Turbulent Scalar Transport Close to a Wall
,” Int. J. Heat Mass Transfer
, 43
(10
), pp. 1749
–1758
.22.
Keating
, A.
, Bilson
, M. J.
, Bremhorst
, K.
, and Nesic
, S.
, 2002, “Investigation of Scalar Transport Closures Using Direct Numerical Simulation,”
Proceedings of the Second International Conference for Computational Fluid Dynamics
, ICCFD
, Sydney, Australia
, pp. 787
–788
.23.
Wilcox
, D. C.
, 1988, “Turbulent Modeling for CFD,”
DCW Industries
, La Canada, CA
.24.
Launder
, B. E.
, 1998, “On the Computation of Convective Heat Transfer in Complex Turbulent Flows
,” J. Heat Transfer
, 110
(4b
), pp. 1112
–1128
.25.
Purchase
, A. E.
, 2009, “Investigation of High Prandtl Number Scalar Transfer in Turbulent Flow,”
Ph.D. thesis, The University of Queensland, Brisbane, Australia.26.
Volino
, R. J.
, and Simon
, T. W.
, 1994, “An Application of Octant Analysis to Turbulent and Transitional Flow Data
,” J. Turbomach.
, 116
(4
), pp. 752
–758
.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.
