# Assessment of a Hydrokinetic Energy Converter Based on Vortex-Induced Angular Oscillations of a Cylinder

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Physical and Mathematical Models

#### 2.1. Physical System

#### 2.2. Kinematics

#### 2.3. Structural Dynamics

#### 2.4. Hydrodynamics

#### 2.5. Flow–Structure Interaction

#### 2.6. Power Extraction Efficiency

## 3. Results

#### 3.1. Effect of Arm Length

#### 3.2. Effect of Mass Ratio

#### 3.3. Effect of Damping Ratio

## 4. Discussion

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 3.**Vector diagram of the hydrodynamic forces acting on a cylinder that performs angular oscillations about the pivot point.

**Figure 4.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${L}^{*}$ and ${U}^{*}$ for ${m}^{*}=5$ and $\zeta =0.01$.

**Figure 5.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${L}^{*}$ and ${U}^{*}$ for ${m}^{*}=50$ and $\zeta =0.01$.

**Figure 6.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${L}^{*}$ and ${U}^{*}$ for ${m}^{*}=5$ and $\zeta =0.1$.

**Figure 7.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${L}^{*}$ and ${U}^{*}$ for ${m}^{*}=50$ and $\zeta =0.1$.

**Figure 8.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${U}^{*}$ and ${m}^{*}$ for ${L}^{*}=0.8$ and $\zeta =0.01$.

**Figure 9.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${U}^{*}$ and ${m}^{*}$ for ${L}^{*}=0.8$ and $\zeta =0.1$.

**Figure 10.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${U}^{*}$ and $\zeta $ for ${L}^{*}=0.8$ and ${m}^{*}=75$.

**Figure 11.**Contours of ${\theta}_{o}$ and $\eta $ as functions of ${U}^{*}$ and $\zeta $ for ${L}^{*}=0.8$ and ${m}^{*}=5$.

${\mathit{C}}_{\mathit{A}}$ | ${\mathit{C}}_{\mathit{D}}$ | ${\mathit{C}}_{\mathit{L}}$ | ${\mathit{S}}_{\mathit{f}}$ |
---|---|---|---|

1.00 | 1.35 | 1.50 | 0.155 |

${\mathit{m}}^{*}$ | $\mathit{\zeta}$ | ${\mathit{m}}^{*}\mathit{\zeta}$ | $\mathit{\eta}$ |
---|---|---|---|

74 | 0.01 | 0.74 | 0.188 |

5.24 | 0.1 | 0.524 | 0.195 |

75 | 0.0083 | 0.6225 | 0.190 |

5 | 0.1 | 0.5 | 0.194 |

**Table 3.**Estimated power output per unit span of the cylinder generated by the novel hydro-kinetic energy converter.

${\mathit{U}}_{\mathit{\infty}}$ (m/s) | D (cm) | m (kg/m) | P (mW/m) |
---|---|---|---|

0.1 | 1 | 0.39 | 1 |

0.1 | 5 | 9.82 | 5 |

0.1 | 25 | 245.4 | 25 |

0.5 | 1 | 0.39 | 125 |

0.5 | 5 | 9.82 | 625 |

0.5 | 25 | 245.4 | 3125 |

1.0 | 1 | 0.39 | 1000 |

1.0 | 5 | 9.82 | 5000 |

1.0 | 25 | 245.4 | 25,000 |

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**MDPI and ACS Style**

Malefaki, I.; Konstantinidis, E.
Assessment of a Hydrokinetic Energy Converter Based on Vortex-Induced Angular Oscillations of a Cylinder. *Energies* **2020**, *13*, 717.
https://doi.org/10.3390/en13030717

**AMA Style**

Malefaki I, Konstantinidis E.
Assessment of a Hydrokinetic Energy Converter Based on Vortex-Induced Angular Oscillations of a Cylinder. *Energies*. 2020; 13(3):717.
https://doi.org/10.3390/en13030717

**Chicago/Turabian Style**

Malefaki, Iro, and Efstathios Konstantinidis.
2020. "Assessment of a Hydrokinetic Energy Converter Based on Vortex-Induced Angular Oscillations of a Cylinder" *Energies* 13, no. 3: 717.
https://doi.org/10.3390/en13030717