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Obstructed shear flows: similarities across systems and scales

Published online by Cambridge University Press:  10 December 2009

MARCO GHISALBERTI
MARCO GHISALBERTI*
Affiliation:
School of Environmental Systems Engineering, University of Western Australia, Crawley, WA 6009, Australia
*
†Email address for correspondence: ghisalbe@sese.uwa.edu.au
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Abstract

In this paper, I show that a range of environmental flows are inherently dynamically similar. These flows, which are partially obstructed by a permeable medium, are here termed ‘obstructed shear flows’. Examples include aquatic flows over sediment beds, submerged vegetation canopies and coral reefs, as well as atmospheric flows over crop canopies, forests and cities (‘urban canopies’). While the density and geometry of the obstructions may vary, the drag in each system generates a velocity profile with an inflection point. This renders the flow unstable. Consequently, it is expected that (a) the dominant interfacial turbulent structure in obstructed shear flows will be a Kelvin–Helmholtz-type vortex, and (b) that this instability will engender hydrodynamic similarities among obstructed shear flows. Such similarities have been hypothesized but not yet fully explored. An extensive review of existing data confirms these dynamic similarities on scales of O(mm) to O(10 m). The extent of shear penetration into the obstruction, which is a primary determinant of residence time in the obstruction, scales upon the drag length scale. Other relationships that link the strength of turbulence and the ‘slip’ velocity at the top of the obstruction to the friction velocity (u∗) are also evident. The relationships presented here provide predictive capability for flow and transport in obstructed shear flows and suggest the possibility of a single framework to describe such flows on all scales.

JFM classification

Geophysical and Geological Flows: Atmospheric flows Boundary Layers: Free shear layers Instability: Instability

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 641 , 25 December 2009 , pp. 51 - 61
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Agelinchaab, M., Tachie, M. F. & Ruth, D. W. 2006 Velocity measurement of flow through a model three-dimensional porous medium. Phys. Fluids 18, 017105.CrossRefGoogle Scholar
Amiro, B. D. 1990 a Comparison of turbulence statistics within three boreal forest canopies. Bound.-Layer Meteorol. 51, 99–121.CrossRefGoogle Scholar
Amiro, B. D. 1990 b Drag coefficients and turbulence spectra within three boreal forest canopies. Bound.-Layer Meteorol. 52, 227–246.Google Scholar
Baldocchi, D. D. & Meyers, T. P. 1988 Turbulence structure in a deciduous forest. Bound.-Layer Meteorol. 43, 345–364.CrossRefGoogle Scholar
Breugem, W. P., Boersma, B. J. & Uittenbogaard, R. E. 2006 The influence of wall permeability on turbulent channel flow. J. Fluid Mech. 562, 35–72.CrossRefGoogle Scholar
Brunet, Y., Finnigan, J. J. & Raupach, M. R. 1994 A wind tunnel study of air flow in waving wheat: single-point velocity statistics. Bound.-Layer Meteorol. 70, 95–132.CrossRefGoogle Scholar
Chambers, P. A. & Kalff, J. 1985 Depth distribution and biomass of submersed aquatic macrophyte communities in relation to Secchi depth. Can. J. Fish. Aquat. Sci. 42, 701–709.Google Scholar
Cheng, H. & Castro, I. P. 2002 Near wall flow over urban-like roughness. Bound.-Layer Meteorol. 104, 229–259.Google Scholar
Chu, V. H. & Babarutsi, S. 1988 Confinement and bed-friction effects in shallow turbulent mixing layers. J. Hydraul. Engng 114 (10), 1257–1274.CrossRefGoogle Scholar
Coceal, O. & Belcher, S. E. 2004 A canopy model of mean winds through urban areas. Quart. J. R. Meteorol. Soc. 130, 1349–1372.CrossRefGoogle Scholar
Duarte, C. M. 1991 Seagrass depth limits. Aquat. Bot. 40, 363–377.CrossRefGoogle Scholar
Dunn, C., Lopez, F. & Garcia, M. 1996 Mean flow and turbulence in a laboratory channel with simulated vegetation. Hydraul. Eng. Ser. 51, UILU-ENG-96-2009, Department of Civil Engineering, University of Illinois at Urbana-Champaign, Urbana, IL.Google Scholar
Finnigan, J. 2000 Turbulence in plant canopies. Annu. Rev. Fluid Mech. 32 (1), 519–571.Google Scholar
Gao, W., Shaw, R. H. & Paw, U. K. T. 1989 Observation of organized structure in turbulent flow within and above a forest canopy. Bound.-Layer Meteorol. 47, 349–377.CrossRefGoogle Scholar
Gardiner, B. A. 1994 Wind and wind forces in a plantation spruce forest. Bound.-Layer Meteorol. 67, 161–186.CrossRefGoogle Scholar
Ghisalberti, M. & Nepf, H. M. 2002 Mixing layers and coherent structures in vegetated aquatic flows. J. Geophys. Res. 107 (C2), 3-1–3-11.Google Scholar
Ghisalberti, M. & Nepf, H. M. 2004 The limited growth of vegetated shear layers. Water Resour. Res. 40, W07502.CrossRefGoogle Scholar
Ghisalberti, M. & Nepf, H. 2005 Mass transport in vegetated shear flows. Environ. Fluid Mech. 5 (6), 527–551.Google Scholar
Ghisalberti, M. & Nepf, H. 2006 The structure of the shear layer in flows over rigid and flexible canopies. Environ. Fluid Mech. 6, 277–301.Google Scholar
Ghisalberti, M. & Nepf, H. 2009 Shallow flows over a permeable medium: the hydrodynamics of submerged aquatic canopies. Transp. Porous Med. 78 (3), 385–402.CrossRefGoogle Scholar
Goharzadeh, A., Khalili, A. & Jørgensen, B. B. 2005 Transition layer thickness at a fluid-porous interface. Phys. Fluids 17, 057102.CrossRefGoogle Scholar
Gupte, S. K. & Advani, S. G. 1997 Flow near the permeable boundary of an aligned fibre preform: an experimental investigation using laser doppler anemometry. Polym. Compos. 18 (1), 114–124.Google Scholar
Ikeda, S. & Kanazawa, M. 1996 Three-dimensional organized vortices above flexible water plants. J. Hydraul. Engng – ASCE 122 (11), 634–640.Google Scholar
Kaimal, J. C. & Finnigan, J. J. 1994 Atmospheric Boundary Layer Flows: Their Structure and Measurement. Oxford University Press.CrossRefGoogle Scholar
Kastner-Klein, P. & Rotach, M. W. 2004 Mean flow and turbulence characteristics in an urban roughness sublayer. Bound.-Layer Meteorol. 111, 55–84.Google Scholar
Katul, G. G. & Albertson, J. D. 1998 An investigation of higher-order closure models for a forested canopy. Bound.-Layer Meteorol. 89, 47–74.CrossRefGoogle Scholar
Kruijt, B., Malhi, Y., Lloyd, J., Nobre, A. D., Miranda, A. C., Pereira, M. G. P., Culf, A. & Grace, J. 2000 Turbulence statistics above and within two Amazon rain forest canopies. Bound.-Layer Meteorol. 94, 297–331.CrossRefGoogle Scholar
Kundu, P. K. & Cohen, I. M. 2004 Fluid Mechanics, 3rd edn. Elsevier Academic Press.Google Scholar
Lorke, A., Müller, B., Maerki, M. & Wüest, A. 2003 Breathing sediments: the control of diffusive transport across the sediment–water interface by periodic boundary-layer turbulence. Limnol. Oceanogr. 48 (6), 2077–2085.CrossRefGoogle Scholar
Louka, P., Belcher, S. E. & Harrison, R. G. 2000 Coupling between air flow in streets and the well-developed boundary layer aloft. Atmos. Environ. 34, 2613–2621.CrossRefGoogle Scholar
Lowe, R. 2005 The effect of surface waves on mass and momentum transfer processes in shallow coral reef systems. PhD thesis, Department of Civil and Environmental Engineering, Stanford University.Google Scholar
Lowe, R. J., Koseff, J. R. & Monismith, S. G. 2005 Oscillatory flow through submerged canopies: 1. Velocity structure. J. Geophys. Res. 110.Google Scholar
Macdonald, R. W. 2000 Modelling the mean velocity profile in the urban canopy layer. Bound.-Layer Meteorol. 97, 25–45.Google Scholar
Murphy, E., Ghisalberti, M. & Nepf, H. 2007 Model and laboratory study of dispersion in flows with submerged vegetation. Water Resour. Res. 43, W05438.Google Scholar
Nepf, H., Ghisalberti, M., White, B. & Murphy, E. 2007 Retention time and dispersion associated with submerged aquatic canopies. Water Resour. Res. 43, W04422.CrossRefGoogle Scholar
Nepf, H. M. & Vivoni, E. R. 2000 Flow structure in depth-limited, vegetated flow. J. Geophys. Res. 105 (C12), 28547–28557.CrossRefGoogle Scholar
Nezu, I. & Nakagawa, H. 1993 Turbulence in Open-Channel Flows. Balkema.Google Scholar
Novak, M. D., Warland, J. S., Orchansky, A. L., Ketler, R. & Green, S. 2000 Wind tunnel and field measurements of turbulent flow in forests. Part I: uniformly thinned stands. Bound.-Layer Meteorol. 95, 457–495.CrossRefGoogle Scholar
Oikawa, S. & Meng, Y. 1995 Turbulence characteristics and organized motion in a suburban roughness sublayer. Bound.-Layer Meteorol. 74, 289–312.Google Scholar
Pasche, E. & Rouvé, G. 1985 Overbank flow with vegetatively roughened flood plains. J. Hydraul. Engng – ASCE 111 (9), 1262–1278.Google Scholar
Poggi, D., Porporato, A., Ridolfi, L., Albertson, J. D. & Katul, G. G. 2004 The effect of vegetation density on canopy sublayer turbulence. Bound.-Layer Meteorol. 111, 565–587.Google Scholar
Raupach, M. R., Coppin, P. A. & Legg, B. J. 1986 Experiments on scalar dispersion within a model plant canopy. Part I: the turbulence structure. Bound.-Layer Meteorol. 35, 21–52.CrossRefGoogle Scholar
Raupach, M. R., Finnigan, J. J. & Brunet, Y. 1996 Coherent eddies and turbulence in vegetation canopies: the mixing-layer analogy. Bound.-Layer Meteorol. 78, 351–382.CrossRefGoogle Scholar
Reidenbach, M. A., Koseff, J. R. & Koehl, M. A. R. 2009 Hydrodynamic forces on larvae affect their settlement on coral reefs in turbulent, wave-driven flow. Limnol. Oceanogr. 54 (1), 318–330.CrossRefGoogle Scholar
Reidenbach, M. A., Koseff, J. R. & Monismith, S. G. 2007 Laboratory experiments of fine-scale mixing and mass transport within a coral canopy. Phys. Fluids 19, 075107.CrossRefGoogle Scholar
Rotach, M. W., Vogt, R., Bernhofer, C., Batchvarova, E., Christen, A., Clappier, A., Feddersen, B., Gryning, S.-E., Martucci, G., Mayer, H., Mitev, V., Oke, T. R., Parlow, E., Richner, H., Roth, M., Roulet, Y.-A., Ruffieux, D., Salmond, J. A., Schatzmann, M. & Voogt, J. A. 2005 BUBBLE – an urban boundary layer meteorology project. Theor. Appl. Climatol. 81, 231–261.CrossRefGoogle Scholar
Seginer, I., Mulhearn, P. J., Bradley, E. F. & Finnigan, J. J. 1976 Turbulent flow in a model plant canopy. Bound.-Layer Meteorol. 10, 423–453.CrossRefGoogle Scholar
Shaw, R. H., den Hartog, G., King, K. M. & Thurtell, G. W. 1974 Measurements of mean wind flow and three-dimensional turbulence intensity with a mature corn canopy. Agric. Meteorol. 13, 419–425.CrossRefGoogle Scholar
Su, H.-B., Schmid, H. P., Vogel, C. S. & Curtis, P. S. 2008 Effects of canopy morphology and thermal stability on mean flow and turbulence statistics observed inside a mixed hardwood forest. Agric. Forest Meteorol. 148, 862–882.CrossRefGoogle Scholar
White, B. L. & Nepf, H. M. 2007 Shear instability and coherent structures in shallow flow adjacent to a porous layer. J. Fluid Mech. 593, 1–32.Google Scholar
Wilson, J. D., Ward, D. P., Thurtell, G. W. & Kidd, G. E. 1982 Statistics of atmospheric turbulence within and above a corn canopy. Bound.-Layer Meteorol. 24, 495–519.CrossRefGoogle Scholar
Yi, C., Monson, R. K., Zhai, Z., Anderson, D. E., Lamb, B., Allwine, G., Turnipseed, A. A. & Burns, S. P. 2005 Modeling and measuring the nocturnal drainage flow in a high-elevation, subalpine forest with complex terrain. J. Geophys. Res. 110, D22303.Google Scholar