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Mathematical modeling of flows in wind turbines with a vertical axis

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Abstract

Flow in the rotors of wind turbines with a vertical axis of the Darrieus-Savonius type and their combinations is considered within the framework of the Navier-Stokes equations, in the two-dimensional formulation. A parametric investigation of the Darrieus rotor characteristics is carried out. For all configurations the dependence of the moment and power coefficients on the specific speed of the rotor is calculated. The possibility of the Darrieus rotor self- starting from the state of rest is investigated. The effect of nonmonotonicmoment variation for the Darrieus-type rotor is studied for the specific speeds of 0.5 to 1. A combined design of the Darrieus-Savonius rotor is considered to solve the problems due to a small moment of the Darrieus rotor during the start.

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References

  1. D.O. Redchyts, “Numerical Simulation of Wind Turbine Rotors,” Proc. Appl. Math. Mech. 7, 2100049 (2007).

    Article  Google Scholar 

  2. A.M. Elmabrok, “Estimation of the Performance of the Darrieus-Savonius Combined Machine,” in: Proc. Ecol. Vehicles Renewable Energies, Monaco, 2009, (2009).

    Google Scholar 

  3. Y. Kyozuka, H. Akira, D. Duan, and Y. Urakata, “An Experimental Study on the Darrieus-Savonius Turbine for the Tidal Current Power Production,” in: Proc. 19th (2009) Intern. Offshore and Polar Engineering Conf., Osaka, Japan, June 21–26, 2009 (2009).

    Google Scholar 

  4. R. Gupta, R. Das, and K.K. Sharma, “Experimental Study of a Darrieus-Savonius Wind Machine,” in: Proc. Intern. Conf. on Renewable Energy for Developing Countries, 2006 (2006).

    Google Scholar 

  5. A.N. Gulyaev, V.E. Kozlov, and A.N. Sekundov, “A Universal One-Equation Model for Turbulent Viscosity,” Fluid Dynamics 28(4), 485 (1993).

    Article  ADS  MATH  Google Scholar 

  6. S.K. Godunov, A.V. Zabrodin, M.Ya. Ivanov, A.N. Kraiko, and G.P. Prokopov, Numerical Solution of Multidimensional Problems of Gasdynamics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  7. V.P. Kolgan, “Application of the Principle of Minimum Derivative Values to the Construction of Finite Difference Schemes for Calculating Discontinuous Solutions of Gasdynamics,” Uch. Zap. TsAGI 3(6), 68 (1972).

    Google Scholar 

  8. N.I. Tillyaeva, “Generalization of the Modified Godunov Scheme to Arbitrary Irregular Grids,” Uch. Zap. TsAGI 17(2), 18 (1986).

    Google Scholar 

  9. A.V. Rodionov, “Increasing the Approximation Order of the Godunov Scheme,” Zh. Vychisl. Mat. Mat. Fiz. 27, 1853 (1987).

    MathSciNet  Google Scholar 

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Correspondence to K. S. P’yankov.

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Original Russian Text © K.S. P’yankov, M.N. Toporkov, 2014, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2014, Vol. 49, No. 2, pp. 125–135.

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P’yankov, K.S., Toporkov, M.N. Mathematical modeling of flows in wind turbines with a vertical axis. Fluid Dyn 49, 249–258 (2014). https://doi.org/10.1134/S0015462814020136

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  • DOI: https://doi.org/10.1134/S0015462814020136

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