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Vortex Trapping Cavity on Airfoil: High-Order Penalized Vortex Method Numerical Simulation and Water Tunnel Experimental Investigation

Author

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  • Dominik Błoński

    (Faculty of Power and Mechanical Engineering, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland)

  • Katarzyna Strzelecka

    (Faculty of Power and Mechanical Engineering, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland)

  • Henryk Kudela

    (Faculty of Power and Mechanical Engineering, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland)

Abstract

This paper presents a two-dimensional implementation of the high-order penalized vortex in cell method applied to solve the flow past an airfoil with a vortex trapping cavity operating under moderate Reynolds number. The purpose of this article is to investigate the fundamentals of the vortex trapping cavity. The first part of the paper treats with the numerical implementation of the method and high-order schemes incorporated into the algorithm. Poisson, stream-velocity, advection, and diffusion equations were solved. The derivation, finite difference formulation, Lagrangian particle remeshing procedure, and accuracy tests were shown. Flow past complex geometries was possible through the penalization method. A procedure description for preparing geometry data was included. The entire methodology was tested with flow past impulsively started cylinder for three Reynolds numbers: 550, 3000, 9500. Drag coefficient, streamlines, and vorticity contours were checked against results obtained by other authors. Afterwards, simulations and experimental results are presented for a standard airfoil and those equipped with a trapping vortex cavity. Airfoil with an optimized cavity shape was tested under three angles of attack: 3°, 6°, 9°. The Reynolds number is equal to Re = 2 × 10 4 . Apart from performing flow analysis, drag and lift coefficients for different shapes were measured to assess the effect of vortex trapping cavity on aerodynamic performance. Flow patterns were compared against ultraviolet dye visualizations obtained from the water tunnel experiment.

Suggested Citation

  • Dominik Błoński & Katarzyna Strzelecka & Henryk Kudela, 2021. "Vortex Trapping Cavity on Airfoil: High-Order Penalized Vortex Method Numerical Simulation and Water Tunnel Experimental Investigation," Energies, MDPI, vol. 14(24), pages 1-32, December.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:24:p:8402-:d:701298
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    References listed on IDEAS

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    1. Fatehi, Mostafa & Nili-Ahmadabadi, Mahdi & Nematollahi, Omid & Minaiean, Ali & Kim, Kyung Chun, 2019. "Aerodynamic performance improvement of wind turbine blade by cavity shape optimization," Renewable Energy, Elsevier, vol. 132(C), pages 773-785.
    2. Yeung, W.W.H., 2009. "Vortex trapping on a surface with an indentation and corrugations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3243-3257.
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