Reynolds-Number-Dependent Energy Harvesting by Freely Rotating Variable-angle Rhombic and Variable-side-length Parallelogram Cylinders
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Abstract
Bluff-body flow-energy harvesters are commonly designed around translational vibration, whereas freely rotating polygonal sections provide an alternative route that harnesses rotational oscillations. In this study, Reynolds-number-dependent energy-harvesting responses of two reconfigurable sections, a variable-angle rhombic cylinder and a variable-side-length parallelogram cylinder, are investigated using an immersed boundary method. The body rotates freely about its centroid without a linear spring or external damping. Results show that at $Re=40$, decreasing the rhombus angle improves start-up and increases the bounded-oscillation amplitude, favoring oscillation-based harvesting, while the parallelogram oscillation amplitude varies non-monotonically with side-length ratio, with $\lambda=1.1$ yielding the largest bounded-oscillation amplitude. At $Re=150$, acute rhombi sustain the largest bounded oscillations, whereas the square cylinder develops autorotation and favors rotary harvesting; the parallelogram family remains on bounded oscillatory branches, with $\lambda=1.5$ producing the largest response envelope. Phase-resolved analyses reveal that periodic near-wake reorganization maintains the oscillation of acute rhombi through favorable alignment between the hydrodynamic moment and the angular velocity. These findings provide geometry-selection guidelines for oscillatory and rotary flow-energy harvesters.
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References
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Cite This Article
TY - JOUR AU - Mou, Ruiyong AU - Huang, Xingrong AU - Liu, Feng PY - 2026 DA - 2026/09/29 TI - Reynolds-Number-Dependent Energy Harvesting by Freely Rotating Variable-angle Rhombic and Variable-side-length Parallelogram Cylinders JO - Journal of Carbon Neutrality T2 - Journal of Carbon Neutrality JF - Journal of Carbon Neutrality VL - 1 IS - 2 SP - 155 EP - 166 DO - 10.62762/JCN.2026.692457 UR - https://www.icck.org/article/abs/JCN.2026.692457 KW - energy harvesting KW - vortex-induced rotation KW - immersed boundary method KW - variable-angle rhombic cylinder KW - variable-side-length parallelogram cylinder AB - Bluff-body flow-energy harvesters are commonly designed around translational vibration, whereas freely rotating polygonal sections provide an alternative route that harnesses rotational oscillations. In this study, Reynolds-number-dependent energy-harvesting responses of two reconfigurable sections, a variable-angle rhombic cylinder and a variable-side-length parallelogram cylinder, are investigated using an immersed boundary method. The body rotates freely about its centroid without a linear spring or external damping. Results show that at $Re=40$, decreasing the rhombus angle improves start-up and increases the bounded-oscillation amplitude, favoring oscillation-based harvesting, while the parallelogram oscillation amplitude varies non-monotonically with side-length ratio, with $\lambda=1.1$ yielding the largest bounded-oscillation amplitude. At $Re=150$, acute rhombi sustain the largest bounded oscillations, whereas the square cylinder develops autorotation and favors rotary harvesting; the parallelogram family remains on bounded oscillatory branches, with $\lambda=1.5$ producing the largest response envelope. Phase-resolved analyses reveal that periodic near-wake reorganization maintains the oscillation of acute rhombi through favorable alignment between the hydrodynamic moment and the angular velocity. These findings provide geometry-selection guidelines for oscillatory and rotary flow-energy harvesters. SN - 3144-2668 PB - Institute of Central Computation and Knowledge LA - English ER -
@article{Mou2026ReynoldsNu,
author = {Ruiyong Mou and Xingrong Huang and Feng Liu},
title = {Reynolds-Number-Dependent Energy Harvesting by Freely Rotating Variable-angle Rhombic and Variable-side-length Parallelogram Cylinders},
journal = {Journal of Carbon Neutrality},
year = {2026},
volume = {1},
number = {2},
pages = {155-166},
doi = {10.62762/JCN.2026.692457},
url = {https://www.icck.org/article/abs/JCN.2026.692457},
abstract = {Bluff-body flow-energy harvesters are commonly designed around translational vibration, whereas freely rotating polygonal sections provide an alternative route that harnesses rotational oscillations. In this study, Reynolds-number-dependent energy-harvesting responses of two reconfigurable sections, a variable-angle rhombic cylinder and a variable-side-length parallelogram cylinder, are investigated using an immersed boundary method. The body rotates freely about its centroid without a linear spring or external damping. Results show that at \$Re=40\$, decreasing the rhombus angle improves start-up and increases the bounded-oscillation amplitude, favoring oscillation-based harvesting, while the parallelogram oscillation amplitude varies non-monotonically with side-length ratio, with \$\lambda=1.1\$ yielding the largest bounded-oscillation amplitude. At \$Re=150\$, acute rhombi sustain the largest bounded oscillations, whereas the square cylinder develops autorotation and favors rotary harvesting; the parallelogram family remains on bounded oscillatory branches, with \$\lambda=1.5\$ producing the largest response envelope. Phase-resolved analyses reveal that periodic near-wake reorganization maintains the oscillation of acute rhombi through favorable alignment between the hydrodynamic moment and the angular velocity. These findings provide geometry-selection guidelines for oscillatory and rotary flow-energy harvesters.},
keywords = {energy harvesting, vortex-induced rotation, immersed boundary method, variable-angle rhombic cylinder, variable-side-length parallelogram cylinder},
issn = {3144-2668},
publisher = {Institute of Central Computation and Knowledge}
}
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