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Flow past an accumulator unit of an underwater energy storage system: Three touching balloons in a floral configuration

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Abstract

An LES simulation of flow over an accumulator unit of an underwater compressed air energy storage facility was conducted. The accumulator unit consists of three touching underwater balloons arranged in a floral configuration. The structure of the flow was examined via three dimensional iso surfaces of the Q criterion. Vortical cores were observed on the leeward surface of the balloons. The swirling tube flows generated by these vortical cores were depicted through three dimensional path lines. The flow dynamics were visualized via time series snapshots of two dimensional vorticity contours perpendicular to the flow direction; revealing the turbulent swinging motions of the aforementioned shedding-swirling tube flows. The time history of the hydrodynamic loading was presented in terms of lift and drag coefficients. Drag coefficient of each individual balloon in the floral configuration was smaller than that of a single balloon. It was found that the total drag coefficient of the floral unit of three touching balloons, i.e. summation of the drag coefficients of the balloons, is not too much larger than that of a single balloon whereas it provides three times the storage capacity. In addition to its practical significance in designing appropriate foundation and supports, the instantaneous hydrodynamic loading was used to determine the frequency of the turbulent swirling-swinging motions of the shedding vortex tubes; the Strouhal number was found to be larger than that of a single sphere at the same Reynolds number.

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References

  • Achenbach E (1972). Experiments on the flow past spheres at very high Reynolds numbers. Journal of Fluid Mechanics, 54(3), 565–575.

    Article  Google Scholar 

  • Bao Y, Huang C, Zhou D, Tu J, Han Z (2012). Two-degree-of-freedom flow-induced vibrations on isolated and tandem cylinders with varying natural frequency ratios. Journal of Fluids and Structures, 35(1), 50–75.

    Article  Google Scholar 

  • Bearman PW, Wadcock AJ (1973). The interaction between a pair of circular cylinders normal to a stream. Journal of Fluid Mechanics, 61(3), 499–511.

    Article  Google Scholar 

  • Blackburn HM, Melbourne WH (1996). The effect of free-stream turbulence on sectional lift forces on a circular cylinder. Journal of Fluid Mechanics, 11, 267–292.

    Article  Google Scholar 

  • Cantwell B, Coles D (1983). An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. Journal of Fluid Mechanics, 136, 321–374.

    Article  Google Scholar 

  • Chen HL, Dai SS, Li J, Yao XL (2009). Three-dimensional numerical simulation of the flow past a circular cylinder based on LES method. Journal of Marine Science and Application, 8(2), 110–116.

    Article  Google Scholar 

  • Cheung B, Cao N, Carriveau R, Ting DS-K (2012a). Distensible air accumulators as a means of adiabatic underwater compressed air energy storage. International Journal of Environmental Studies, 69(4), 566–577.

    Article  Google Scholar 

  • Cheung B, Carriveau R, Ting DS-K (2012b). Storing energy underwater. ASME Mechanical Engineering Magazine, 134(12), 38–41.

    Google Scholar 

  • Clift R, Grace JR, Weber ME (1978). Bubbles, drops, and particles. Academic Press Inc, New York, United States, 97–137.

    Google Scholar 

  • Constantinescu GS, Squires KD (2003). LES and DES investigations of turbulent flow over a sphere at Re = 10,000. Flow, Turbulence and Combustion, 70(1–4), 267–298.

    Article  MATH  Google Scholar 

  • Denholm P, Kulcinski GL (2004). Life cycle energy requirements and greenhouse gas emissions from large scale energy storage systems. Energy Conversion and Management, 45(13–14), 2153–2172.

    Article  Google Scholar 

  • Drescher H (1956). Messung der auf querangestromte zylinder ausgeubten zeitlich veranderten drucke. Zeitschrift fur Flugwissenschaften und Weltraumforschung, 4, 17–21.

    Google Scholar 

  • El Khoury GK, Andersson HI, Pettersen B (2010). Cross flow past a prolate spheroid at Reynolds number of 10000. Journal of Fluid Mechanics, 659, 365–374.

    Article  MATH  Google Scholar 

  • Fung YC (1960). Fluctuating lift and drag acting on a cylinder in a flow at supercritical Reynolds numbers. Journal of the Aerospace Sciences, 27(11), 801–814.

    Article  MATH  Google Scholar 

  • Germano M, Piomelli U, Moin P, Cabot WH (1991). A dynamic subgrid-scale eddy viscosity model. Physics of Fluids A, 3(7), 1760–1765.

    Article  MATH  Google Scholar 

  • Hunt JCR, Wray AA, Moin P (1988). Eddies, streams, and convergence zones in turbulent flows. Center for Turbulence Research, Stanford University, technical report No. CTR-S88.

    Google Scholar 

  • Ibrahim H, Ilinca A, Perron J (2008). Energy storage systems—Characteristics and comparisons. Renewable and Sustainable Energy Reviews, 12(5), 1221–1250.

    Article  Google Scholar 

  • Kamkar SJ, Wissink AM, Sankaran V, Jameson A (2011). Feature-driven Cartesian adaptive mesh refinement for vortex-dominated flows. Journal of Computational Physics, 230(16), 6271–6298.

    Article  MATH  MathSciNet  Google Scholar 

  • Lam K, Lin YF, Zou L, Liu Y (2012). Numerical study of flow patterns and force characteristics for square and rectangular cylinders with wavy surfaces. Journal of Fluids and Structures, 28(1), 359–377.

    Article  Google Scholar 

  • Lilly DK (1992). A proposed modification of the Germano subgrid-scale closure method. Physics of Fluids A: Fluid Dynamics, 4(3), 633–635.

    Article  MathSciNet  Google Scholar 

  • Liu ZG, Liu Y, Lu J (2012). Fluid-structure interaction of single flexible cylinder in axial flow. Computers & Fluids, 56, 143–151.

    Article  MathSciNet  Google Scholar 

  • Lotfollahi Yaghin MA, Mojtahedi A, Ettefagh MM, Aminfar MH (2011). Experimental investigation of TARMAX model for modeling of hydrodynamic forces on cylinder-like structures. Journal of Marine Science and Application, 10(3), 281–288.

    Article  Google Scholar 

  • MacKay DJC (2008). Sustainable energy-without the hot air. Cambridge UIT Cambridge Ltd, Cambridge, England, 60–67.

    Google Scholar 

  • McGregor DM, Etkin BE (1958). Investigation of the fluctuating pressures on a circular cylinder in an airstream. Physics of Fluids, 1(2), 162–164.

    Article  Google Scholar 

  • Meldi M, Lucor D, Sagaut P (2011). Is the Smagorinsky coefficient sensitive to uncertainty in the form of the energy spectrum? Physics of Fluids, 23(12), 1–14.

    Article  Google Scholar 

  • Mylonas D, Sayer P (2012). The hydrodynamic flow around a yacht keel based on LES and DES. Ocean Engineering, 46, 18–32.

    Article  Google Scholar 

  • Peng YF, Sau A, Hwang RR, Yang WC, Hsieh CM (2012). Criticality of flow transition behind two side-by-side elliptic cylinders. Physics of Fluids, 24(3), 1–36.

    Article  Google Scholar 

  • Pimm AJ, Garvey SD, Drew RJ (2011). Shape and cost analysis of pressurized fabric structures for subsea compressed air energy storage. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225(5), 1027–1043.

    Google Scholar 

  • Pimm AJ, Garvey SD, Jong M (2014). Design and testing of energy bags for underwater compressed air energy storage. Energy, 66, 496–508.

    Article  Google Scholar 

  • Prasanth TK, Behara S, Singh SP, Kumar R, Mittal S (2006). Effect of blockage on vortex-induced vibrations at low Reynolds numbers. Journal of Fluids and Structures, 22(6–7), 865–876.

    Article  Google Scholar 

  • Prasanth TK, Mittal S (2008). Vortex-induced vibrations of a circular cylinder at low Reynolds numbers. Journal of Fluid Mechanics, 594, 463–491.

    Article  MATH  Google Scholar 

  • Rahman F, Rehman S, Abdul-Majeed MA (2012). Overview of energy storage systems for storing electricity from renewable energy sources in Saudi Arabia. Renewable and Sustainable Energy Reviews, 16(1), 274–283.

    Article  Google Scholar 

  • Sagaut P (2006). Large eddy simulation for incompressible flows-An introduction. 3rd edition. Springer, Berlin Heidelberg, 1–556.

    MATH  Google Scholar 

  • Schewe G (1983). On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers. Journal of Fluid Mechanics, 133(1), 265–285.

    Article  Google Scholar 

  • Shimada K, Ishihara T (2012). Predictability of unsteady two-dimensional k-ɛ model on the aerodynamic instabilities of some rectangular prisms. Journal of Fluids and Structures, 28, 20–39.

    Article  Google Scholar 

  • Smagorinsky J (1963). General circulation experiments with the primitive equations. Monthly Weather Review, 91(3), 99–164.

    Article  Google Scholar 

  • Stoica P, Moses R (1997). Introduction to spectral analysis. Prentice Hall Inc, Upper Saddle River, New Jersey, USA, 25–26.

    MATH  Google Scholar 

  • Subsalve USA Corporation (2012). Underwater lift bags. Available from http://subsalve.com/images/Subsalve_catalogweb2011.pdf [read on 07.06.2012].

    Google Scholar 

  • Sujudi D, Haimes R (1995). Identification of swirling flow in 3-D vector fields. Cambridge, USA, Technical Report No. AIAA 95-1715, 1–8.

    Google Scholar 

  • Sun TF, Gu ZF, He DX, Zhang LL (1992). Fluctuating pressure on two circular cylinders at high Reynolds numbers. Journal of Wind Engineering and Industrial Aerodynamics, 41(1–3), 577–588.

    Article  Google Scholar 

  • Taneda S (1978). Visual observations of the flow past a sphere at Reynolds numbers between 104 and 106. Journal of Fluid Mechanics, 85(1), 187–192.

    Article  Google Scholar 

  • Vakil A, Green SI (2009). Drag and lift coefficients of inclined finite circular cylinders at moderate Reynolds numbers. Computers & Fluids, 38(9), 1771–1781.

    Article  MATH  Google Scholar 

  • Vakil A, Green SI (2011). Two-dimensional side-by-side circular cylinders at moderate Reynolds numbers. Computers & Fluids, 51(1), 136–144.

    Article  MATH  Google Scholar 

  • Vasel-Be-Hagh AR, Ting DS-K, Carriveau R (2013a). Correlating flow pattern with force coefficients in air flow past a tandem unit of three circular cylinders. International Journal of Fluid Mechanics Research, 40(3), 235–253.

    Article  Google Scholar 

  • Vasel-Be-Hagh AR, Carriveau R, Ting DS-K (2013b). Numerical simulation of flow past an underwater energy storage balloon. Computers & Fluids, 88, 272–286.

    Article  Google Scholar 

  • Wang S, Zhu L, Zhang X, He G (2011). Flow past two freely rotatable triangular cylinders in tandem arrangement. Journal of Fluids Engineering, 133(8), 081202–02.

    Article  Google Scholar 

  • Zhang X, Su YM, Yang L, Wang ZL (2010). Hydrodynamic performance of flapping-foil propulsion in the influence of vortices. Journal of Marine Science and Application, 9(2), 213–219.

    Article  Google Scholar 

Download references

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Correspondence to Ahmadreza Vasel-Be-Hagh.

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Ahmadreza Vasel-Be-Hagh received a BSc degree in Mechanical Engineering from Ferdowsi University (FUM) in 2008. After completing the MSc degree focusing on Lattice Boltzmann modeling, he was honoured to be awarded an Ontario Trillium Scholarship from the government of Ontario valued at 160,000$ to pursue his education in Canada. For his PhD research, he is conducting simulations in concert with laboratory experiments to investigate hydrodynamics of accumulators of compressed air for an underwater compressed air energy storage plant. He has published one text book, eight journal papers and six conference papers so far.

Rupp Carriveau is a director and associate professor in the Turbulence and Energy Laboratory at the University of Windsor, Lumley Centre For Engineering Innovation. His research focuses on clean energy generation, storage, and smart optimization. He works extensively with utilities, power, agricultural, and automotive industries. Dr. Carriveau is active on the Editorial Boards of Wind Engineering, International Advances in Energy Research, Advances in Life Sciences, and the International Journal of Sustainable Energy. He is also the President of the International Underwater Compressed Air Energy Storage Society.

David S-K Ting After receiving his PhD in Combustion from University of Alberta in 1995, he spent two years working on Flow-Induced Vibrations as a post-doctorate fellow at McGill before joining University of Windsor as an assistant professor. He is currently a professor in Mechanical, Automotive and Materials Engineering and the co-founder of the Turbulence & Energy Laboratory at the University of Windsor. Ting supervises students on a wide range of research projects involving Turbulence and/or Energy. To date, he has co/supervised over forty graduate students and co-authored over sixty journal papers.

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Vasel-Be-Hagh, A., Carriveau, R. & Ting, D.SK. Flow past an accumulator unit of an underwater energy storage system: Three touching balloons in a floral configuration. J. Marine. Sci. Appl. 13, 467–476 (2014). https://doi.org/10.1007/s11804-014-1277-3

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  • DOI: https://doi.org/10.1007/s11804-014-1277-3

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