Estudo numérico da resistência hidrodinâmica num kayak de competição
DOI:
https://doi.org/10.5433/1679-0375.2021v42n2p131Palavras-chave:
Métodos numéricos, Simulação numérica, Método dos Volumes Finitos, Design do casco de kayaks, Força de arrasto, Superfície Livre. TurbulênciaResumo
Neste trabalho é realizado um estudo numérico sobre o escoamento em torno do casco de um kayak de competição, com o objetivo de prever as forças de arrasto. As simulações numéricas foram realizadas inicialmente considerando a geometria de um casco Wigley, um caso típico de validação para escoamentos em torno de embarcações marítimas. A força de arrasto total e os perfis de onda do casco foram obtidos para vários números de Froude e uma comparação com medidas experimentais foi realizada. Após validação e verificação do método numérico, foi estudado o escoamento em torno de dois kayaks de competição. A força de arrasto foi calculada e comparada com dados experimentais e numéricos.Downloads
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Referências
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GISEN, D. Generation of a 3D mesh using snappy HexMesh featuring anisotropic refinement and near-wall layers. In: INTERNATIONAL CONFERENCE ON HYDROSCIENCE ENGINEERING, 11., 2014, Karlsruhe. Proceedings [. . . ].Karlsruhe: Bundesanstalt für Wasserbau, 2014. p. 983-990.
GOMES, B. B.; CONCEIÇÃO, F. A.; PENDERGAST, D. R.; SANDERS, R.; VAZ, M. A. P.; VILAS-BOAS, J. P. Is passive drag dependent on the interaction of kayak design and paddler weight in flat-water kayaking? Sports Biomechanics, [London], v. 14, p. 394-403, 2015. DOI: 10.1080/14763141.2015.1090475.
GOMES, B. B.; MACHADO, L.; RAMOS, N. V.; CONCEIÇÃO, F. A. V.; SANDERS, R. H.; VAZ, M. A. P.; VILAS-BOAS, J. P.; PENDERGAST, D. R. Effect of wetted surface area on friction, pressure, wave and total drag of a kayak. Sports Biomechanics, [London], v. 17, p. 453- 461, 2018.
GOMES, B. B.; RAMOS, N.; CONCEIÇÃO, F.; VILASBOAS, J. P.; VAZ, M. A. P. Field Assessment of the Kayaks’ Total Drag Force. In: INTERNATIONAL CONFERENCE ON EXPERIMENTAL MECHANICS, 15., 2012, Porto. Proceedings [. . . ]. Porto: [s. n.], 2012. p. 1-2.
HARPAL, N.; PATEL, C. Numerical modeling of resistance for a conceptual seatrain. Academic Paper Contest, 2011. CD-adapco.
HARRISON, S. M.; GUNN, D. F.; CLEARY, P. W. Kayak performance modelling using SPH. In: INTERNATIONAL CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS IN THE MINERALS AND PROCESS INDUSTRIES (CFD2012), 9., 2012, Melbourne. Conference [. . . ]. Melbourne: [s. n.], 2012. p. 1-6.
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KAJITANI, H.; MIYATA, H.; IKEHATA, M.; TANAKA, H.; ADACHI, H.; NAMIMATSU, M.; OGIWARA, S. The summary of the cooperative experiment on wigley parabolic model in japan. Japan: Defense Technical Information Center, 1983.
LAURENT, A.; ROUARD, A.; MANTHA, V. R.; MARINHO, D. A.; SILVA, A. J.; ROUBOA, A. I. The Computational Fluid Dynamics Study of Orientation Effects of Oar Blade. Journal of Applied Biomechanics, Champaign, v. 29, p. 23-32, 2013.
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MICHAEL, J. S.; SMITH, R.; ROONEY, K. B. Determinants of kayak paddling 52 performance. Sports Biomechanics, [London], v. 8, p. 167-179, 2009. DOI: https://doi.org/10.1080/14763140902745019.
NAKASHIMA, M.; KITAZAWA, A.; NAKAGAKI, K.; ONOTO, N. Simulation to clarify the effect of paddling motion on the hull behavior of a single kayak in a sprint race. Sports Eng., London, v. 20, p. 133-139, 2017.
NASA. Menter shear stress transport model. 2014. Available from: http://turbmodels.larc.nasa.gov/sst.html. Access in: Jan. 02, 2021.
NELO. M. A. R. Kayaks Lda. Vila do Conde: Nelo, [2021]. Available from: http://www.nelo.eu/. Access in: Jan. 02, 2021.
OPENFOAM FOUNDATION. The Open Source Computational Fluid Dynamics (CFD) Toolbox. 2021. Available from: <ht tp : / /openfoam.org/. Access in: Jan. 02, 2021.
PEREZ, C. G.; TAN, M.; WILSON, P. Validation and verification of hull resistance components using a commercial CFD code. In: NUMERICAL TOWING TANK SYMPOSIUM, 11., 2008, Brest. Proceedings [. . . ]. Brest: [S .l.], 2008. p. 1-6.
PRANZITELLI, A.; NICOLA, C.; MIRANDA, S. Steadystate calculations of free surface flow around ship hulls and resistance predictions. In: SYMPOSIUM ON HIGH SPEED MARINE VEHICLES (HSMV), 2011, Naples. Proceedings [. . . ]. Naples: [s. n.], 2011. p. 1-14.
RICHARDSON, L. F. The approximate arithmetical solution by finite differences of physical problems including differential equations, with an application to the stresses in a masonry dam. Philosophical Transactions Of The Royal Society A, London, v. 10, p. 459-470, 1911.
ROBINSON, M.G.; HOLT L. E.; PELHAM T. W. The Technology of Sprint Racing Canoe and Kayak Hull and Paddle Designs. International Sports Journal, Newark, v. 6, p. 68-85, 2002.
TROTTENBERG, U.; OOSTERLEE, C. W.; SCHULLER, A. Multigrid. [London]: Elsevier, 2000.
TAYLOR, D.W. Naval Ship Research and Development, Proceedings on the Workshop on Ship Wave-Resistance Computations, [Bethesda], Maryland, 1979.
TZABIRAS, G. D.; POLYZOS, S. P.; SFAKIANAKI, K.; DIAFAS, V.; VILLIOTIS, A. D.; CHRISIKOPOULOS, K.; KALOUPSIS, S. Experimental and Numerical Study of the Flow Past the Olympic Class K-1 Flat Water Racing Kayak at Steady Speed. The Sport Journal, [s .l.], v. 13, 2010.
UBBINK, O. Numerical prediction of two fluid systems with sharp interfaces. 1997. Tesis (Doctoral) - University of London, London, 1997.
WILLMAN, S. Lift and drag of kayak rudders. 2011. Dissertation (Master) - University of Oslo, Oslo, 2011.
BERBEROVIC E., VAN HINSBERG N.P., JAKIRLI ´ C´ S., ROISMAN I., TROPEA Drop impact onto a liquid layer of finite thickness: dynamics of the cavity evolution. Physical Review, College Park, v. 79, p. 036306, 2009. DOI: 10.1103/physreve.79.036306.
BOUCHER, J.-P.; LABBÉ, R.; CLANET, C.; BENZAQUEN, M. Thin or bulky: optimal aspect ratios for ship hulls. Phys. Rev. Fluids, College Park, v. 3, p. 074802, 2018. DOI: 10.1103/PhysRevFluids.3.074802.
GISEN, D. Generation of a 3D mesh using snappy HexMesh featuring anisotropic refinement and near-wall layers. In: INTERNATIONAL CONFERENCE ON HYDROSCIENCE ENGINEERING, 11., 2014, Karlsruhe. Proceedings [. . . ].Karlsruhe: Bundesanstalt für Wasserbau, 2014. p. 983-990.
GOMES, B. B.; CONCEIÇÃO, F. A.; PENDERGAST, D. R.; SANDERS, R.; VAZ, M. A. P.; VILAS-BOAS, J. P. Is passive drag dependent on the interaction of kayak design and paddler weight in flat-water kayaking? Sports Biomechanics, [London], v. 14, p. 394-403, 2015. DOI: 10.1080/14763141.2015.1090475.
GOMES, B. B.; MACHADO, L.; RAMOS, N. V.; CONCEIÇÃO, F. A. V.; SANDERS, R. H.; VAZ, M. A. P.; VILAS-BOAS, J. P.; PENDERGAST, D. R. Effect of wetted surface area on friction, pressure, wave and total drag of a kayak. Sports Biomechanics, [London], v. 17, p. 453- 461, 2018.
GOMES, B. B.; RAMOS, N.; CONCEIÇÃO, F.; VILASBOAS, J. P.; VAZ, M. A. P. Field Assessment of the Kayaks’ Total Drag Force. In: INTERNATIONAL CONFERENCE ON EXPERIMENTAL MECHANICS, 15., 2012, Porto. Proceedings [. . . ]. Porto: [s. n.], 2012. p. 1-2.
HARPAL, N.; PATEL, C. Numerical modeling of resistance for a conceptual seatrain. Academic Paper Contest, 2011. CD-adapco.
HARRISON, S. M.; GUNN, D. F.; CLEARY, P. W. Kayak performance modelling using SPH. In: INTERNATIONAL CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS IN THE MINERALS AND PROCESS INDUSTRIES (CFD2012), 9., 2012, Melbourne. Conference [. . . ]. Melbourne: [s. n.], 2012. p. 1-6.
HELLSTEN, A. Some Improvements in menter’s kow SST turbulence model. In: AIAA FLUID DYNAMICS, 29., 1997, Albuquerque. Conference [. . . ]. Albuquerque: NM, 1997. v. AIAA-98-2554.
INOK, F.; LAVROV, A.; SOARES, C. G. Analysis of the free surface turbulent flow around a forward moving Wigley hull with OpenFOAM: developments in maritime transportation and exploitation of sea resources. London: Francis Taylor Group, 2014.
KAJITANI, H.; MIYATA, H.; IKEHATA, M.; TANAKA, H.; ADACHI, H.; NAMIMATSU, M.; OGIWARA, S. The summary of the cooperative experiment on wigley parabolic model in japan. Japan: Defense Technical Information Center, 1983.
LAURENT, A.; ROUARD, A.; MANTHA, V. R.; MARINHO, D. A.; SILVA, A. J.; ROUBOA, A. I. The Computational Fluid Dynamics Study of Orientation Effects of Oar Blade. Journal of Applied Biomechanics, Champaign, v. 29, p. 23-32, 2013.
MANTHA, V. R.; SILVA, A. J.; MARINHO, D. A.; ROUBOA, A. Numerical Simulation of Two-Phase Flow Around Flatwater Competition Kayak Design-Evolution Models. Journal of Applied Biomechanics, Champaign, v. 29, p. 270-278, 2013. DOI: 10.1123/jab.29.3.270.
MENTER, F. R. Two-equation Eddy-Viscosity turbulence models for engineering applications. AIAA Journal, [Reston], v. 32, p. 1598-1605, 1994.
MENTER, F. R.; KUNTZ, M.; LANGTRY, R. Ten years of industrial experience with the SST turbulence model, in turbulence, heat and mass transfer 4. Danbury: Begell House, 2003.
MICHAEL, J. S.; SMITH, R.; ROONEY, K. B. Determinants of kayak paddling 52 performance. Sports Biomechanics, [London], v. 8, p. 167-179, 2009. DOI: https://doi.org/10.1080/14763140902745019.
NAKASHIMA, M.; KITAZAWA, A.; NAKAGAKI, K.; ONOTO, N. Simulation to clarify the effect of paddling motion on the hull behavior of a single kayak in a sprint race. Sports Eng., London, v. 20, p. 133-139, 2017.
NASA. Menter shear stress transport model. 2014. Available from: http://turbmodels.larc.nasa.gov/sst.html. Access in: Jan. 02, 2021.
NELO. M. A. R. Kayaks Lda. Vila do Conde: Nelo, [2021]. Available from: http://www.nelo.eu/. Access in: Jan. 02, 2021.
OPENFOAM FOUNDATION. The Open Source Computational Fluid Dynamics (CFD) Toolbox. 2021. Available from: <ht tp : / /openfoam.org/. Access in: Jan. 02, 2021.
PEREZ, C. G.; TAN, M.; WILSON, P. Validation and verification of hull resistance components using a commercial CFD code. In: NUMERICAL TOWING TANK SYMPOSIUM, 11., 2008, Brest. Proceedings [. . . ]. Brest: [S .l.], 2008. p. 1-6.
PRANZITELLI, A.; NICOLA, C.; MIRANDA, S. Steadystate calculations of free surface flow around ship hulls and resistance predictions. In: SYMPOSIUM ON HIGH SPEED MARINE VEHICLES (HSMV), 2011, Naples. Proceedings [. . . ]. Naples: [s. n.], 2011. p. 1-14.
RICHARDSON, L. F. The approximate arithmetical solution by finite differences of physical problems including differential equations, with an application to the stresses in a masonry dam. Philosophical Transactions Of The Royal Society A, London, v. 10, p. 459-470, 1911.
ROBINSON, M.G.; HOLT L. E.; PELHAM T. W. The Technology of Sprint Racing Canoe and Kayak Hull and Paddle Designs. International Sports Journal, Newark, v. 6, p. 68-85, 2002.
TROTTENBERG, U.; OOSTERLEE, C. W.; SCHULLER, A. Multigrid. [London]: Elsevier, 2000.
TAYLOR, D.W. Naval Ship Research and Development, Proceedings on the Workshop on Ship Wave-Resistance Computations, [Bethesda], Maryland, 1979.
TZABIRAS, G. D.; POLYZOS, S. P.; SFAKIANAKI, K.; DIAFAS, V.; VILLIOTIS, A. D.; CHRISIKOPOULOS, K.; KALOUPSIS, S. Experimental and Numerical Study of the Flow Past the Olympic Class K-1 Flat Water Racing Kayak at Steady Speed. The Sport Journal, [s .l.], v. 13, 2010.
UBBINK, O. Numerical prediction of two fluid systems with sharp interfaces. 1997. Tesis (Doctoral) - University of London, London, 1997.
WILLMAN, S. Lift and drag of kayak rudders. 2011. Dissertation (Master) - University of Oslo, Oslo, 2011.
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Publicado
2021-11-03
Como Citar
Barros, F., Viriato, N., Veiga Rodrigues, C., Ferrás, L. L., Vaz, M. A. P., & Afonso, A. M. (2021). Estudo numérico da resistência hidrodinâmica num kayak de competição. Semina: Ciências Exatas E Tecnológicas, 42(2), 131–144. https://doi.org/10.5433/1679-0375.2021v42n2p131
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