TECHNICAL PAPERS
Apr 1, 2009

Mass Transport in Shallow Turbulent Wake Flow by Planar Concentration Analysis Technique

Publication: Journal of Hydraulic Engineering
Volume 135, Issue 4

Abstract

A planar concentration analysis (PCA) system is used for observing the transport and mixing of a tracer mass in a shallow turbulent free-surface wake flow of a large cylindrical obstacle. The nonintrusive, fieldwise PCA measuring technique is applied to evaluate depth-averaged mass concentrations by making use of light attenuation due to absorption and scattering processes related to a dissolved tracer mass. The scalar fields are decomposed into a low-frequency quasiperiodic part, the coherent flow, and a randomly fluctuating part. From accompanying near-surface velocity measurements, large-scale coherent structures are identified and related to the coherent mass fields. This allows one to assess the role of the large-scale vortices for advection and diffusion in shallow wake flows. The time–mean wake flow displays a self-similar spanwise distribution both for mass and velocity. The longitudinal development of shallow wakes initially shows the growth of unbounded wakes; in the wake far field an attenuated behavior applies.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The PCA was developed and applied to shallow cylinder wakes at the shallow flow test facility of the Institute for Hydromechanics, University of Karlsruhe, Germany. The writers are indebted to their colleagues of the environmental fluid mechanics group for technical support and inspiring discussion. Financial support provided by the German Research Foundation (DFG Grant Nos. Ji 18/4 and Ji 18/8) is gratefully acknowledged.

References

Akilli, H., and Rockwell, D. (2002). “Vortex formation from a cylinder in shallow water.” Phys. Fluids, 14(9), 2957–2967.
Arst, H. (2003). Optical properties and remote sensing of multicomponental water bodies, Springer, Berlin.
Babarutsi, S., and Chu, V. H. (1991). “Dye-concentration distribution in shallow recirculating flows.” J. Hydraul. Eng., 117(5), 643–659.
Balachandar, R., Chu, V. H., and Zhang, J. (1997). “Experimental study of turbulent concentration flow field in the wake of a bluff body.” J. Fluids Eng., 119, 263–270.
Balachandar, R., Tachie, M. F., and Chu, V. H. (1999). “Concentration profiles in shallow turbulent wakes.” J. Fluids Eng., 121, 34–43.
Balu, M., Balachandar, R., and Wood, H. (2001). “Concentration estimation in two-dimensional bluff body wakes using image processing and neural networks.” J. Flow Visualization Image Process., 8(2/3), 121–139.
BASF Fine Chemicals (BASF). (1996). “Analytical tests for the Sicovit and Sicomet colorants.” Technical Information ME 342 e, Lud-wigs-ha-fen, Germany.
BASF Fine Chemicals (BASF). (1997). “Sicovit(R)—Colorants for foods, drugs, and cosmetics. Sicomet(R)—Colorants for cosmetics only.” Technical Information ME 341 e, Ludwigshafen, Germany.
Berger, E., and Wille, R. (1972). “Periodic flow phenomena.” Annu. Rev. Fluid Mech., 4, 313–340.
Bergmann, L., and Schaefer, C. (1999). Optics of waves and particles, Walter de Gruyter, New York.
Bukata, R. P., Jerome, J. H., Kondratyev, K. Y., and Pozdnyakov, D. V. (1995). Optical properties and remote sensing of inland and coastal waters, CRC, Boca Raton, Fla.
Carmer, C. F. v. (2005). “Shallow turbulent wake flows: Momentum and mass transfer due to large-scale coherent vortical structures.” Dissertationsreihe am Institut für Hydromechanik der Universität Karlsruhe (TH), Vol. 2005/2, Univ. Karlsruhe, Karlsruhe, Germany.
Carmer, C. F. v., and Jirka, G. H. (2001). “On turbulence and transport in shallow wake flow.” Proc., 29th IAHR Congress, Vol. B, Tsinghua University Press, Tsinghua, China, 80–86.
Carmer, C. F. v., Konrath, R., Schröder, A., and Monnier, J.-C. (2008). “Identification of vortex pairs in aircraft wakes from sectional velocity data.” Exp. Fluids, 44(3), 367–380.
Carmer, C. F. v., Rummel, A. C., and Jirka, G. H. (2002). “Combined planar measurements of flow velocity and mass concentration in shallow turbulent flow—Part 2: Application of coupled PIV-PCA technique to turbulent shallow wake flows.” HMEM 2002: Hydraulic Measurements and Experimental Methods Conf. 2002 (CD-ROM), ASCE, Reston, Va.
Carmer, C. F. v., Rummel, A. C., and Jirka, G. H. (2004). “Influence of secondary motion in large-scale coherent structures on the mass transport in a shallow turbulent wake.” Shallow Flows: Selected Papers of the International Symp. on Shallow Flows, Balkema, Leiden, The Netherlands, 103–110.
Carmer, C. F. v., Weitbrecht, V., and Jirka, G. H. (2001). “On the genesis and fate of large coherent vortical structures in turbulent shallow wake flows.” 3rd Int. Symp. on Environmental Hydraulics with a Special Theme on Urban Fluid Dynamics (CD-ROM), IAHR, Delft, The Netherlands.
Chen, D., and Jirka, G. H. (1995). “Experimental study of plane turbulent wakes in a shallow water layer.” Fluid Dyn. Res., 16, 11–41.
Chen, D., and Jirka, G. H. (1999). “LIF study of plane jet bounded in shallow water layer.” J. Hydraul. Eng., 125, 817–826.
Chopra, K. P. (1973). “Atmospheric and oceanic flow problems introduced by islands.” Acta Cybern., 16, 297–421.
Chu, V. H., and Zhang, J.-B. (2004). “Starting jets in a double-tank apparatus.” Shallow Flows: Selected Papers of the International Symp. on Shallow Flows, Balkema, Leiden, The Netherlands, 71–78.
Cramp, A., Coulson, M., James, A., and Berry, J. (1991). “A note on the observed and predicted flow patterns around islands—Flat holm, the Bristol channel.” Int. J. Remote Sens., 12, 1111–1118.
DeFelice, T. P., Meyer, D. J., Xian, G., Christopherson, J., and Cahalan, R. (2000). “Landsat-7 reveals more than just surface features in remote areas of the globe.” Bull. Am. Meteorol. Soc., 81, 1047–1049.
Fu, H., and Rockwell, D. (2005a). “Shallow flow past a cylinder: Control of the near wake.” J. Fluid Mech., 539, 1–24.
Fu, H., and Rockwell, D. (2005b). “Shallow flow past a cylinder: Transition phenomena at low Reynolds number.” J. Fluid Mech., 540, 75–90.
Hinze, J. O. (1975). Turbulence, 2nd Ed., McGraw-Hill, New York.
Holley, E. R., and Jirka, G. H. (1986). “Mixing in rivers.” Technical Rep. No. E-86-II, U.S. Army Waterways Experiment Station, Vicksburg, Miss.
Hussain, A. K. M. F. (1986). “Coherent structures and turbulence.” J. Fluid Mech., 173, 303–356.
Ingram, R. G., and Chu, V. H. (1987). “Flow around islands in Rupert Bay: An investigation of the bottom friction effect.” J. Geophys. Res., 92, 14521–14533.
Jirka, G. H. (2001). “Large scale flow structures and mixing processes in shallow flows.” J. Hydraul. Res., 39, 567–573.
Jirka, G. H. (2004). “Integral model for turbulent buoyant jets in unbounded stratified flows. Part 1: Single round jet.” Environ. Fluid Mech., 4(1), 1–56.
Jirka, G. H., and Uijttewaal, W. S. J. (2004a). “Shallow flows: A definition.” Shallow Flows: Selected Papers of the International Symp. on Shallow Flows, Balkema, Leiden, The Netherlands, 3–11.
Jirka, G. H., and Uijttewaal, W. S. J., eds. (2004b). Shallow Flows: Selected Papers of the Int. Symp. on Shallow Flows, Balkema, Leiden, The Netherlands.
Kahraman, A., Sahin, B., and Rockwell, D. (2002). “Control of vortex formation from a vertical cylinder in shallow water: Effect of localized roughness elements.” Exp. Fluids, 33(1), 54–65.
Kondratyev, K. Y., and Filatov, N. N., eds. (1999). Limnology and remote sensing, Springer, Berlin.
Kurzke, M., Weitbrecht, V., and Jirka, G. H. (2002). “Laboratory concentration measurements for determination of mass exchange between groin fields and main stream.” River Flow 2002—Proc., Int. Conf. on Fluvial Hydraulics, D. Bousmar and Y. Zech, eds., Swets & Zeitlinger, Lisse, The Netherlands.
Lloyd, P. M., and Stansby, P. K. (1997a). “Shallow-water flow around model conical islands of small side slope. I: Surface piercing.” J. Hydraul. Eng., 123(12), 1057–1067.
Lloyd, P. M., and Stansby, P. K. (1997b). “Shallow-water flow around model conical islands of small side slope. II: Submerged.” J. Hydraul. Eng., 123(12), 1068–1077.
Negretti, M. E., Socolofsky, S. A., Rummel, A. C., and Jirka, G. H. (2005). “Stabilization of cylinder wakes in shallow water flows by means of roughness elements: An experimental study.” Exp. Fluids, 38, 403–414.
Negretti, M. E., Vignoli, G., Tubino, M., and Brocchini, M. (2006). “On shallow water wakes: An analytical study.” J. Fluid Mech., 567, 457–475.
Pattiaratchi, C., James, A., and Collins, M. B. (1986). “Island wakes and headland eddies: A comparison between remotely-sensed data and laboratory experiments.” J. Geophys. Res., 92, 783–794.
Pope, S. B. (2000). Turbulent flows, Cambridge University Press, Cambridge, U.K.
Pozdnyakov, D., and Grassl, H. (2003). Colour of inland and coastal waters. A methodology for its interpretation, Springer, Berlin.
Reynolds, W. C., and Hussain, A. K. M. F. (1972). “The mechanics of an organized wave in turbulent shear flow. Part 3: Theoretical models and comparisons with experiments.” J. Fluid Mech., 54, 263–288.
Rockwell, D., Fu, H., Lin, J.-C., and Ozgoren, M. (2004). “Vortex formation in shallow flows.” Shallow Flows: Selected Papers of the International Symp. on Shallow Flows, Balkema, Leiden, The Netherlands, 47–56.
Rummel, A. C., Carmer, C. F. v., and Jirka, G. H. (2002). “Combined planar measurements of flow velocity and mass concentration in shallow turbulent flow—Part 1: Development of a planar concentration analysis (PCA) system.” HMEM 2002: Hydraulic Measurements and Experimental Methods Conf. 2002 (CD-ROM), ASCE, Reston, Va.
Rummel, A. C., Socolofsky, S. A., Carmer, C. F., and Jirka, G. H. (2005). “Enhanced diffusion from a continuous point source in shallow free-surface flow with grid turbulence.” Phys. Fluids, 17(7), 075105-1–075105-12.
Tachie, M. F., and Balachandar, R. (2001). “Shallow wakes generated on smooth and rough surfaces.” Exp. Fluids, 30(4), 467–474.
van Dyke, M. (1982). An album of fluid motion, Parabolic, Stanford, Calif.
Vorobieff, P., Rivera, M., and Ecke, R. E. (1999). “Soap film flows: Statistics of two-dimensional turbulence.” Phys. Fluids, 11(8), 2167–2177.
Ward, P. R. B. (1973). “Measurement of dye concentration by photography.” J. Envir. Engrg. Div., 99(EE3), 165–175.
Weitbrecht, V. (2004). “Influence of dead-water zones on the dispersive mass transport in rivers.” Dissertationsreihe am Institut für Hydromechanik der Universität Karlsruhe (TH), Vol. 2004/1, Univ. Karlsruhe, Karlsruhe, Germany.
Williamson, C. H. K. (1996). “Vortex dynamics in the cylinder wake.” Annu. Rev. Fluid Mech., 28, 477–539.
Wolanski, E., Imberger, J., and Heron, M. L. (1984). “Island wakes in shallow coastal waters.” J. Geophys. Res., 89, 10553–10569.
Zdravkovich, M. M. (1997). Flow around circular cylinders, Vol. 1, Oxford University Press, Oxford, U.K.
Zhang, J.-B., and Chu, V. H. (2003). “Shallow turbulent flows by video imaging method.” J. Eng. Mech., 129(10), 1164–1172.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 135Issue 4April 2009
Pages: 257 - 270

History

Received: Apr 12, 2007
Accepted: Oct 8, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009

Permissions

Request permissions for this article.

Authors

Affiliations

Carl F. Carmer [email protected]
Research Associate, Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), 37073 Goettingen, Germany; presently, Research Institute for Optronics and Pattern Recognition (FGAN-FOM), Gutleuthausstrasse 1, 76275 Ettlingen, Germany. E-mail: [email protected]
Andreas C. Rummel [email protected]
Research Assistant, Institute for Hydromechanics, Univ. Karlsruhe, Karlsruhe, Germany and DICAT, Univ. Genova, Genova, Italy. E-mail: [email protected]
Gerhard H. Jirka, F.ASCE [email protected]
Professor and Director, Institute for Hydromechanics, Univ. Karlsruhe, Karlsruhe, Germany. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share