Vortex-induced energy harvesting of an elliptic blade in high-Reynolds lid-driven cavity flow

الموضوعات : Analytical and Numerical Methods in Mechanical Design

Ali Akbar Hosseinjani ¹ ( Department of Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran. )
Ghasem Akbari ² ( Department of Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran. )

تاريخ الإرسال : 18 الأحد , رمضان, 1444 تاريخ التأكيد : 18 الأحد , رمضان, 1444 تاريخ الإصدار : 07 الخميس , جمادى الأولى, 1444

الکلمات المفتاحية: Lid-driven cavity flow is characterized by large-scale energetic eddies which are potential for energy harvesting purposes. The present article deals with numerical study of vortex-induced autorotation of an elliptic blade hinged at the center of a l, clockwise autorotation and counter-clockwise autorotation are three dominant modes observed at various configurations and different temporal stages. The average-length blade is equally characterized by vortices at both directions, and consequently experiences a fluttering mode. In contrast, short (long) bladeis mainly affected by one dominant vortex type, leading to steady autorotation in counter-clockwise (clockwise) direction. At stable autorotation of blade in both directions, regular cyclic temporal oscillations are observed in the rotational speed, which are due to cyclic evolution of the near-blade vortices and their alternating moment applied to the blade,

ملخص المقالة :

Lid-driven cavity flow is characterized by large-scale energetic eddies which are potential for energy harvesting purposes. The present article deals with numerical study of vortex-induced autorotation of an elliptic blade hinged at the center of a lid-driven cavity.Immersed boundary method is utilized to solve the governing equations for this moving boundary problem. Four different blade dimensions are considered at a fairly high-Reynolds number to evaluate the impact of various vortex types and flow unsteadiness on the blade dynamics. Small-amplitude fluttering, clockwise autorotation and counter-clockwise autorotation are three dominant modes observed at various configurations and different temporal stages. The average-length blade is equally characterized by vortices at both directions, and consequently experiences a fluttering mode. In contrast, short (long) bladeis mainly affected by one dominant vortex type, leading to steady autorotation in counter-clockwise (clockwise) direction. At stable autorotation of blade in both directions, regular cyclic temporal oscillations are observed in the rotational speed, which are due to cyclic evolution of the near-blade vortices and their alternating moment applied to the blade.

المصادر:

1. E. Smith, Autorotating wings: an experimental investigation, Journal of Fluid Mechanics, 50(3) (1971) 513-534.


2. H. Juarez, R. Scott, R. Metcalfe, B. Bagheri, Direct simulation of freely rotating cylinders in viscous flows by high-order finite element methods, Computers & Fluids, 29(5) (2000) 547-582.


3. Y. Xia, J. Lin, X. Ku, T. Chan, Shear-induced autorotation of freely rotatable cylinder in a channel flow at moderate Reynolds number, Physics of Fluids, 30(4) (2018) 043303.


4. Y. Xia, J. Lin, X. Ku, Flow-induced rotation of circular cylinder in Poiseuille flow of power-law fluids, Journal of Non-Newtonian Fluid Mechanics, 260 (2018) 120-132.


5. B. Skews, Autorotation of many-sided bodies in an airstream, Nature, 352(6335) (1991) 512-513.


6. T. Zaki, M. Sen, M. Gad-el-Hak, Numerical and experimental investigation of flow past a freely rotatable square cylinder, Journal of Fluids and structures, 8(6) (1994) 555-582.


7. S. Ryu, Quadrant analysis on vortex-induced autorotation of a rigid square cylinder, Journal of Mechanical Science and Technology, 32(6) (2018) 2629-2635.


8. Y.G. Park, G. Min, M.Y. Ha, H.S. Yoon, Response characteristics of vortex around the fixed and freely rotating rectangular cylinder with different width to height ratios, Progress in Computational Fluid Dynamics, an International Journal, 15(1) (2015) 1-9.


9. H.J. Lugt, Autorotation of an elliptic cylinder about an axis perpendicular to the flow, Journal of Fluid Mechanics, 99(4) (1980) 817-840.


10. S. Wang, L. Zhu, X. Zhang, G. He, Flow past two freely rotatable triangular cylinders in tandem arrangement, Journal of fluids engineering, 133(8) (2011).


11. J. Shao, C. Shu, N. Liu, X. Zhao, Numerical investigation of vortex induced rotation of two square cylinders in tandem arrangement, Ocean Engineering, 171 (2019) 485-495.


12. A. Bakhshandeh Rostami, Hydrokinetic energy harvesting by autorotation of a plate with hinged axis, PhD Thesis, Federal University of Rio de Janeiro, Brazil, 2015.


13. A.A. Hosseinjani, G. Akbari, Numerical study of vortex-induced autorotation of an elliptic blade in lid-driven cavity flow, Fluid Dynamics Research, 54(6) (2022).


14. C. Ji, A. Munjiza, J. Williams, A novel iterative direct-forcing immersed boundary method and its finite volume applications, Journal of Computational Physics, 231(4) (2012) 1797-1821.


15. A.A. Hosseinjani, A. Ashrafizadeh, An extended iterative direct-forcing immersed boundary method in thermo-fluid problems with Dirichlet or Neumann boundary conditions, Journal of Central South University, 24(1) (2017) 137-154.


16. A.A. Hosseinjani, A. Ashrafizadeh, Flow confinement effects on the wake structure behind a pitching airfoil: a numerical study using an immersed boundary method, Journal of Bionic Engineering, 14(1) (2017) 88-98.


17. A.A. Hosseinjani, M. Nikfar, Numerical analysis of unsteady natural convection from two heated cylinders inside a rhombus enclosure filled with Cu-water nanofluid, International Communications in Heat and Mass Transfer, 113 (2020) 104510.


18. E. Erturk, T.C. Corke, C. Gökçöl, Numerical solutions of 2‐D steady incompressible driven cavity flow at high Reynolds numbers, International journal for Numerical Methods in fluids, 48(7) (2005) 747-774.


19. H. Schlichting, Boundary layer theory, McGraw-Hill, New York, 1979.