Abstract
The present study investigates the effect of piezoelectric coupling factor of a piezoelectric flag where the energy can be harvested through flow-induced oscillations. The flexible filament structure is placed in an incoming viscous fluid at a low Reynolds number of 200. An in-house immersed boundary method (IBM)-based fluid–structure–energy equations solver has been used for the simulations. It is observed that for a wide range of bending rigidity \(\left( \gamma \right)\) and mass ratio \(\left( \beta \right), \) the dynamics of the flow-induced oscillations are not affected by the piezoelectric coupling factor \(\left( \nu \right). \) However, for a lower \(\gamma\) and \(\beta\), the oscillation states of the system are significantly affected; for \(\beta = 0.05\) and \(\gamma = 10^{ - 3}\), the system exhibits self-sustained oscillations at higher ν; otherwise, it was a damped oscillation. In contrast, for higher \(\beta\) values \(\left( {\beta = 5.0} \right)\), the periodic oscillations of the flexible filament transitions into an aperiodic state in the presence of piezoelectric coupling. The present findings may provide the insights into the design of efficient FIV-based energy harvesting of a piezoelectric flag by identifying the parametric regimes, where the dynamical state is either conducive for energy harvesting or is detrimental.
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Abbreviations
- \(\gamma\):
-
Non-dimensional stiffness
- \(\beta\):
-
Non-dimensional inertia
- \(L\):
-
Non-dimensional length of flag
- \(q\):
-
Total non-dimensional thickness of the piezoelectric flag
- \(Re\):
-
Reynolds number
- \(q_{p}\):
-
Ratio of thickness of one piezoelectric layer to the total thickness of the composite
- \(\nu\):
-
Piezoelectric coupling coefficient
- \(R_{b}\):
-
Non-dimensional resistance
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Acknowledgements
Authors would like to acknowledge the partial funding received from the Science and Engineering Board, Department of Science and Technology, Govt of India for project no. EMR/2016/007500 and from Ministry of Education, Govt of India towards Institute of Eminence, project no. SP2021077/DRMHRD/DIRIIT and the high performance computing facility (HPCE) of IIT Madras.
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Chatterjee, R., Shah, C.L., Gupta, S., Sarkar, S. (2024). Role of Piezoelectric Coupling Factor on FIV-Based Energy Harvesting of a Piezoelectric Flag. In: Singh, K.M., Dutta, S., Subudhi, S., Singh, N.K. (eds) Fluid Mechanics and Fluid Power, Volume 1. FMFP 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-7827-4_59
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