Influence of a method of evaluation of the curvature of flexible vegetation elements on vertical distributions of flow velocities

• Autorzy: Kubrak E. , Kubrak J. , Rowiński P.M.
• Języki publikacji: EN

Abstrakty

EN

Methods of computing the deflections of flexible vegetation elements under the dynamic pressure of water were presented in the paper. Two methods, based on Euler–Bernoulli beam theory, were discussed, one designed for small deflections and the other, generalized one, also for larger deflections. The choice of the method for computations of deflections was discussed from the perspective of the computation of flow velocities above flexible vegetation. Computational results were compared with laboratory experiments and it was found that the simplified, computationally less expensive method may be used in many practical situations without deterioration of the results.

Słowa kluczowe

EN

flexible vegetation; flow velocity distribution; deflection; open channel; beam theory

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2012
• Tom: Vol. 60, no. 4
• Strony: 1098--1119
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Kubrak E.

autor

Kubrak J.

autor

Rowiński P.M.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences, Warszawa, Poland,

Bibliografia

• Al-Sadder, S., and R.A.O. Al-Rawi (2006), Finite difference scheme for largedeflection analysis of non-prismatic cantilever beams subjected to different types of continuous and discontinuous loadings, Arch. Appl. Mech. 75, 8-9, 459-473, DOI: 10.1007/s00419-005-0422-5.
• Baptist, M.J. (2005), Modelling Floodplain Biogeomorphology, Ph.D. Thesis, Delft University Press, Delft, The Netherlands.
• Castro-Orgaz, O., and S. Dey (2011), Power-law velocity profile in turbulent Bondary layers: An integral Reynolds-number dependent solution, Acta Geophys. 59, 5, 993-1012, DOI: 10.2478/s11600-011-0025-1.
• Defina, A., and A.Ch. Bixio (2005), Mean flow and turbulence in vegetated open channel flow, Water Resour. Res. 41, W07006, 1-12, DOI: 10.1029/2004WR003475.
• Dijkstra, J.T., and R.E. Uittenbogaard (2010), Modeling the interaction between flow and highly flexible aquatic vegetation, Water Resour. Res. 46, W12547, DOI: 10.1029/2010WR009246.
• El-Hakim, O., and M.M. Salama (1992), Velocity distribution inside and above branched flexible roughness, J. Irrig. Drain. Eng. 118, 6, 914-927, DOI: 10.1061/(ASCE)0733-9437(1992)118:6(914).
• Erduran, K.S., and V. Kutija (2003), Quasi-three-dimensional numerical model for flow through flexible, rigid, submerged and non-submerged vegetation, J. Hydroinform. 05.3, 189-202.
• Folkard, A.M. (2011), Flow regimes in gaps within stands of flexible vegetation: laboratory flume simulations, Environ. Fluid Mech. 11, 289-236, DOI: 10.1007/s10652-010-9197-5.
• Ghisalberti, M., and H.M. Nepf (2004), The limited growth of vegetated shear layers, Water Resour. Res. 40, W07502, DOI: 10.1029/2003WR002776.
• Khublaryan, M.G., A.P. Frolov, and V.N. Zyryanov (2004), Modeling water flow in the presence of higher vegetation, Water Res. 31, 6, 617-622, DOI: 10.1023/B:WARE.0000046899.00404.ba.
• Klopstra, D., H.J. Barneveld, J.M. van Noortwijk, and E.H. van Velzen (2002), Analytical model for hydraulic roughness of submerged vegetation. In: Proc. 27th Congr. Int. Assoc. Hydraul. Res., Theme A “Managing Water: Coping with Scarcity and Abundance”, San Francisco, 1997, American Society of Civil Engineers (ASCE), New York, 775-780.
• Kopmaz, O., and O. Gundogdu (2004), On the curvature of an Euler–Bernoulli Beam, Int. J. Mech. Eng. Educ. 31, 2, 132-142.
• Kubrak, E., K. Marciszewska, and M. Dohojda (2005), The infinitesimal deflection of the flexible stems loaded due to dynamic water pressure, Acta Sci. Pol. Architektura 4, 2, 27-35 (in Polish).
• Kubrak, E. (2007), Distributions of water velocities in open-channels with stems simulating vegetation, Ph.D. Thesis, Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences, Warszawa, Poland (in Polish).
• Kubrak, E., J. Kubrak, and P.M. Rowiński (2008), Vertical velocity distributions through and above submerged, flexible vegetation, Hydrol. Sci. J. 53, 4, 905-920, DOI : 10.1623/hysj.53.4.905.
• Kutija, V., and H.T.M. Hong (1996), A numerical model for assessing the additional resistance to flow introduced by flexible vegetation, J. Hydraul. Res. 34, 1, 99-114, DOI: 10.1080/00221689609498766.
• Li, C.W., and J.F. Xie (2011), Numerical modeling of free surface flow over submerged and highly flexible vegetation, Adv. Water Resour. 34, 4, 468-477, DOI: 10.1016/j.advwatres.2011.01.002.
• Meyer, Z. (2011), Wind set-up of water level in a river, Acta Geophys. 59, 2, 317-333, DOI: 10.2478/s11600-011-0005-5.
• Meyer, Z. (2010), An analysis of the mechanism of flow in ice-covered rivers, Acta Geophys. 58, 2, 337-355, DOI: 10.2478/s11600-009-0064-z.
• Nepf, H., and M. Ghisalberti (2008), Flow and transport in channels with submerged vegetation, Acta Geophys. 56, 3, 753-777, DOI: 10.2478/s11600-008-0017-y.
• Paik, J.K., A.K. Thayamballi, S.K. Lee, and S.J. Kang (2001), A semi-analytical method for the elastic-plastic large deflection analysis of welded steel oraluminum plating under combined in-plane and lateral pressure loads, Thin-Wall. Struct. 39, 2, 125-152, DOI: 10.1016/S0263-8231(00)00058-6.
• Rakowski, J., and W. Sumelka (2006), Calculation of slender beam deflections – a nonlinear approach. In: Proc. „Inżynieria i Kształtowanie Środowiska Obszarów Niezurbanizowanych – Woda w Inżynierii Krajobrazu”, SGGW, Warszawa (in Polish).
• Righetti, M. (2008), Flow analysis in a channel with flexible vegetation using double-averaging method, Acta Geophys. 56, 3, 801-823, DOI: 10.2478/s11600-008-0032-z.
• Righetti, M., and A. Armanini (2002), Flow resistance in open channel flow with sparsely distributed bushes, J. Hydrology 269, 1-2, 55-64, DOI: 10.1016/S0022-1694(02)00194-4.
• Rowiński, P.M., and J. Kubrak (2002a), A mixing-length model for predicting vertical velocity distribution in flows through emergent vegetation, Hydrol. Sci. J. 47, 6, 893-904, DOI: 10.1080/02626660209492998.
• Rowiński, P.M., and J. Kubrak (2002b), Velocity profiles on vegetated flood plains. In: Proc. Int. Conf. on Fluvial Hydraulics “River Flow 2002”, Louvain-la-Neuve, Belgium, 303-309.
• Rowiński, P.M., and A. Mazurczyk (2006), Turbulent characteristics of floks through emergent vegetation. In: R.M.L. Ferreira, E.C.T.L. Alves, J.G.A.B. Leal, and A.H. Cardoso (eds.), River Flow 2006, Taylor & Francis Group, London, 623-630.
• Souliotis, D., and P. Prinos (2011), Effect of a vegetation patch on turbulent channel flow, J. Hydraul. Res. 49, 2, 157-167, DOI: 10.1080/00221686.2011.557258.
• Velasco, D., A. Bateman, and V. Medina (2008), A new integrated, hydromechanical model applied to flexible vegetation in riverbeds, J. Hydraul. Res. 46, 5, 579-597, DOI: 10.3826/jhr.2008.2986.
• Yau, J.D. (2010), Closed-form solutions of large deflection for a guyed cantilever column pulled by an inclination cable, J. Mar. Sci. Technol. 18, 1, 130-136.