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Quasi-geostrophic jet-like flow with obstructions

Published online by Cambridge University Press:  28 June 2021

Michele Mossa Open the ORCID record for Michele Mossa [Opens in a new window] ,
Roni H. Goldshmid Open the ORCID record for Roni H. Goldshmid [Opens in a new window] ,
Dan Liberzon Open the ORCID record for Dan Liberzon [Opens in a new window] ,
M. Eletta Negretti Open the ORCID record for M. Eletta Negretti [Opens in a new window] ,
Joel Sommeria Open the ORCID record for Joel Sommeria [Opens in a new window] ,
Donatella Termini Open the ORCID record for Donatella Termini [Opens in a new window]  and
Francesca De Serio Open the ORCID record for Francesca De Serio [Opens in a new window]
Michele Mossa
Affiliation:
DICATECh, Polytechnic University of Bari, 70125Bari, Italy CoNISMa, 00196Rome, Italy
Roni H. Goldshmid
Affiliation:
Faculty of Civil and Environmental Engineering, The Technion, 32000Haifa, Israel
Dan Liberzon
Affiliation:
Faculty of Civil and Environmental Engineering, The Technion, 32000Haifa, Israel
M. Eletta Negretti
Affiliation:
Univ. Grenoble Alpes, CNRS, Grenoble INP, LEGI, 38000Grenoble, France
Joel Sommeria
Affiliation:
Univ. Grenoble Alpes, CNRS, Grenoble INP, LEGI, 38000Grenoble, France
Donatella Termini
Affiliation:
Department of Engineering, University of Palermo, 90133Palermo, Italy
Francesca De Serio*
Affiliation:
DICATECh, Polytechnic University of Bari, 70125Bari, Italy CoNISMa, 00196Rome, Italy
*
†Email address for correspondence: [email protected]
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Abstract

Jet-like flows are ubiquitous in the atmosphere and oceans, and thus a thorough investigation of their behaviour in rotating systems is fundamental. Nevertheless, how they are affected by vegetation or, generally speaking, by obstructions is a crucial aspect which has been poorly investigated up to now. The aim of the present paper is to propose an analytical model developed for jet-like flows in the presence of both obstructions and the Coriolis force. In this investigation the jet-like flow is assumed homogeneous, turbulent and quasi-geostrophic, and with the same density as the surrounding fluid. Laws of momentum deficit, length scales, velocity scales and jet centreline are analytically deduced. These analytical solutions are compared with some experimental data obtained using the Coriolis rotating platform at LEGI-Grenoble (France), showing a good agreement.

JFM classification

Wakes/Jets: Jets Geophysical and Geological Flows: Coastal engineering
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 921 , 25 August 2021 , A12
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Albayrak, I., Nikora, V., Miler, O. & O'Hare, M. 2011 A flow-plant interactions at a leaf scale: effects of leaf shape, serration, roughness and flexural rigidity. Aquat. Sci. 74 (2), 267–286.CrossRefGoogle Scholar
Antonia, R.A. & Bilger, R.W. 1973 An experimental investigation of an axisymmetric jet in a coflowing air steam. J. Fluid Mech. 61 (4), 805–822.CrossRefGoogle Scholar
Barile, S., De Padova, D., Mossa, M. & Sibilla, S. 2020 Theoretical analysis and numerical simulations of turbulent jets in a wave environment. Phys. Fluids 32, 035105.CrossRefGoogle Scholar
Ben Meftah, M. & Mossa, M. 2016 A modified log-law of flow velocity distribution in partly obstructed open channels. Environ. Fluid Mech. 16, 453–479.CrossRefGoogle Scholar
Bradbury, L.J.S. 1965 The structure of a self-preserving turbulent plane jet. J. Fluid Mech. 23 (1), 31–64.CrossRefGoogle Scholar
De Serio, F., Ben Meftah, M., Mossa, M. & Termini, D. 2018 Experimental investigation on dispersion mechanisms in rigid and flexible vegetated beds. Adv. Water Resour. 120, 98–113.CrossRefGoogle Scholar
Fagherazzi, S., Edmonds, D.A., Nardin, W., Leonardi, N., Canestrelli, A., Falcini, F., Jerolmack, D.J., Mariotti, G., Rowland, J.C. & Slingerland, R.L. 2015 Dynamics of river mouth deposits. Rev. Geophys. 533, 31–64.Google Scholar
Fischer, H.B., List, E.J., Koh, R.C.Y., Imberger, J. & Brooks, N.H. 1979 Mixing in Inland and Coastal Waters. Academic.Google Scholar
Gadgil, S. 1971 Structure of jets in rotating systems. J. Fluid Mech. 47 (3), 417–436.CrossRefGoogle Scholar
Giger, M., Dracos, T. & Jirka, G.H. 1991 Entrainment and mixing in plane turbulent jets in shallow water. J. Hydraul. Res. 29 (5), 615–642.CrossRefGoogle Scholar
Goertler, H. 1942 Berechnung von Aufgaben der freien Turbulenz auf Grund eines neuen Naherungsansatzes. Z. Angew. Math. Mech. 22, 244–254.CrossRefGoogle Scholar
Jirka, G.H. 1994 Shallow jets. In Recent Research Advances in the Fluid Mechanics of Turbulent Jets and Plumes (ed. P.A. Davies & M.J.V. Neves). NATO ASI Series (Series E: Applied Sciences), vol. 255. Springer.CrossRefGoogle Scholar
Kaimal, J. & Finnigan, J. 1994 Atmospheric Boundary Layer Flows: Their Structure and Momentum. Oxford University Press.CrossRefGoogle Scholar
Kemp, J., Harper, D. & Crosa, G. 2000 The habitat-scale ecohydraulics of rivers. Ecol. Engng 16, 17–29.CrossRefGoogle Scholar
Lin, G. & Atkinson, J.F. 1999 A mechanism for offshore transport across the Gulf Stream. J. Phys. Oceanogr. 30, 226–232.Google Scholar
Mahesh, K. 2013 The interaction of jets with crossflow. Annu. Rev. Fluid Mech. 45 (1), 379–407.CrossRefGoogle Scholar
Marois, D.E. & Mitsch, W.J. 2015 Coastal protection from tsunamis and cyclones provided by mangrove wetlands – a review. Intl J. Biodiversity Sci. 11 (1), 71–83.CrossRefGoogle Scholar
Mossa, M. & De Serio, F. 2016 Rethinking the process of detrainment: jets in obstructed natural flows. Sci. Rep. 6, 39103.CrossRefGoogle ScholarPubMed
Mossa, M., Ben Meftah, M., De Serio, F. & Nepf, H.M. 2017 How vegetation in flows modifies the turbulent mixing and spreading of jets. Sci. Rep. 7, 6587.CrossRefGoogle ScholarPubMed
Negretti, M.E., Vignoli, G., Tubino, M. & Brocchini, M. 2006 On shallow-water wakes: an analytical study. J. Fluid Mech. 567, 457–475.CrossRefGoogle Scholar
Nikora, N., Nikora, V. & O'Donoghue, T. 2013 Velocity profiles in vegetated open-channel flows: combined effects of multiple mechanisms. ASCE J. Hydraul. Engng 139 (10), 1021–1032.CrossRefGoogle Scholar
Nepf, H.M. 1999 Turbulence and diffusion in flow through emergent vegetation. Water Resour. Res. 35 (2), 479–489.CrossRefGoogle Scholar
Pope, S.B. 2000 Turbulent Flows. Cambridge University Press.CrossRefGoogle Scholar
Rajaratnam, N. 1976 Turbulent Jets. Elsevier Scientific Publishing Company.Google Scholar
Smith, S.H. & Mungal, M.G. 1998 Mixing, structure and scaling of the jet in crossflow. J. Fluid Mech. 357, 183–122.CrossRefGoogle Scholar
Tanino, Y. & Nepf, H.M. 2008 Lateral dispersion in random cylinder arrays at high Reynolds number. J. Fluid Mech. 600, 339–371.CrossRefGoogle Scholar
Tennekes, H. & Lumley, J.L. 1972 A First Course in Turbulence. MIT.CrossRefGoogle Scholar
Thomas, P.J. & Linden, P.F. 2007 Rotating gravity currents: small-scale and large-scale laboratory experiments and a geostrophic model. J. Fluid Mech. 578, 35–65.CrossRefGoogle Scholar
White, B.L. & Nepf, H.M. 2003 Scalar transport in random cylinder arrays at moderate Reynolds number. J. Fluid Mech. 487, 43–79.CrossRefGoogle Scholar
White, B.L. & Nepf, H.M. 2007 Shear instability and coherent structures in a flow adjacent to a porous layer. J. Fluid Mech. 593, 1–32.CrossRefGoogle Scholar
White, B.L. & Nepf, H.M. 2008 A vortex-based model of velocity and shear stress in a partially vegetated shallow channel. Water Resour. Res. 44 (1), W01412.CrossRefGoogle Scholar