0
Research Papers: Fundamental Issues and Canonical Flows

Effects of Schmidt Number on Turbulent Mass Transfer Around a Rotating Circular Cylinder

[+] Author and Article Information
Dong-Hyeog Yoon1

 Department of Mechanical Engineering, Inha University, Incheon, 402-751, Republic of KoreaDivision of Mechanical Engineering,  The University of Queensland, Brisbane, Qld 4072, Australia

Kyung-Soo Yang2

 Department of Mechanical Engineering, Inha University, Incheon, 402-751, Republic of Koreaksyang@inha.ac.krDivision of Mechanical Engineering,  The University of Queensland, Brisbane, Qld 4072, Australiaksyang@inha.ac.kr

Klaus Bremhorst

 Department of Mechanical Engineering, Inha University, Incheon, 402-751, Republic of KoreaDivision of Mechanical Engineering,  The University of Queensland, Brisbane, Qld 4072, Australia

1

Present address: Korea Institute of Nuclear Safety, 19 Guseong-dong, Yuseong-gu, Daejon 305-338, Republic of Korea.

2

Corresponding author.

J. Fluids Eng 133(8), 081204 (Aug 23, 2011) (11 pages) doi:10.1115/1.4004635 History: Received February 03, 2011; Revised July 02, 2011; Published August 23, 2011; Online August 23, 2011

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.

Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Computational domain and grid system (a) Total view, (b) Magnified view

Grahic Jump Location
Figure 2

Correlation for mass transfer on the cylinder surface, ReR * =336

Grahic Jump Location
Figure 3

Mean concentration and velocity profiles in the wall region, ReR *   = 336

Grahic Jump Location
Figure 4

Turbulent and molecular diffusion

Grahic Jump Location
Figure 5

Concentration rms in the wall region

Grahic Jump Location
Figure 6

Turbulent concentration time scales in the wall region

Grahic Jump Location
Figure 7

Time scale ratio in the wall region

Grahic Jump Location
Figure 8

Closure coefficient

Grahic Jump Location
Figure 9

Turbulent Schmidt number

Grahic Jump Location
Figure 10

Closure coefficient Cs for i = 2

Grahic Jump Location
Figure 11

Closure coefficient Ct

Grahic Jump Location
Figure 12

Streamwise turbulent mass flux

Grahic Jump Location
Figure 13

Wall-normal turbulent mass flux

Grahic Jump Location
Figure 14

Variation of the velocity-concentration cross-correlations with Schmidt number; (a) Sc = 1, (b) Sc = 10, (c) Sc = 100. The dashed line represents ρ(ur'uθ'), included for reference.

Grahic Jump Location
Figure 15

Definition of octants

Grahic Jump Location
Figure 16

Octant contributions, Sc = 1; (a) Probability of ur'uθ'¯ events, (b) Reynolds shear stress, (c) wall-normal turbulent mass flux, (d) streamwise turbulent mass flux

Grahic Jump Location
Figure 17

Octant contributions, Sc = 10; (a) Probability of ur'uθ'¯ events, (b) Reynolds shear stress, (c) wall-normal turbulent mass flux, (d) streamwise turbulent mass flux

Grahic Jump Location
Figure 18

Octant contributions, Sc = 100; (a) Probability of ur'uθ'¯ events, (b) Reynolds shear stress, (c) wall-normal turbulent mass flux, (d) streamwise turbulent mass flux

Grahic Jump Location
Figure 19

Budget of the concentration variance (c'2¯)

Grahic Jump Location
Figure 20

Budget of the streamwise turbulent mass flux (uθ'c'¯)

Grahic Jump Location
Figure 21

Budget of the wall-normal turbulent mass flux (ur'c'¯)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In