FLUID FLOW INDUCED BY AN ELASTIC PLATE IN HEAVING MOTION

Authors

  • May Hlaing Win Khin Department of Mechanical Engineering, West Yangon Technological University, Yangon, Myanmar
  • Kentaro Kato Linné Flow Centre, Department of Mechanics, Royal Institute of Technology, Stockholm, Sweden
  • Hyung Jin Sung Department of Mechanical Engineering, Korea Advanced Research Institute of Science and Technology, Daejeon, Korea
  • Shinnosuke Obi Department of Mechanical Engineering, Keio University, Yokohama, Japan

DOI:

https://doi.org/10.11113/aej.v12.16791

Keywords:

Flexible wing, fluid structure interaction, resonant frequency, thrust force, underwater vehicles

Abstract

We perform three-dimensional simulations of an elastic plate heaving in a sinusoidal motion with different frequencies to explore the effects of the forcing heaving frequency on the hydrodynamic force generation and flow structures. It is aimed to simulate the motion of a rectangular elastic plate, representing a simplified flexible wing or fin, placed in an open water tank as in a corresponding experimental study. The top edge of the plate oscillates sinusoidally in water at rest. Simulations are conducted for the fluid structure interaction of an elastic plate with a special version of the open-source library C++ OpenFOAM, foam-extend-3.2. The plate oscillates at different heaving frequencies in a range of 3.5 Hz and 4.5 Hz. Experiments are carried out to validate our simulations. The results are in a good agreement with the experiment in terms of the representation of the resonant frequency and the induced hydrodynamic forces. It is found that the hydrodynamic force and propulsive efficiency are mainly affected by the elastic deformation and forcing heaving frequencies. The generated thrust is observed to be significantly enhanced at the resonant frequency, while the propulsive efficiency is increased at the heaving frequency which is greater than the resonant frequency. The results of our simulations point to the importance of resonant flapping frequency for considering the optimal heaving frequency to achieve the best performance and to get the improved thrust force, which are crucial for the locomotion of birds, insects, fishes, flapping-based micro air and underwater vehicles.

References

Yin, B., and Luo, H. 2010. Effect of Wing Inertia on Hovering Performance of Flexible Flapping Wings. Physics of Fluids. 22(11): 11902,1-10 DOI : 10.1063/1.3499739

Minotti, F., O. 2011. Determination of the Instantaneous Forces on Flapping Wings from a Localized Fluid Velocity Field. Physics of Fluids. 23(11). DOI : 10.1063/1.3659496

Lee, J., S., Seo, I., S., and Lee, S., H. 2015. Propulsion Velocity of a Flapping Wing at Low Reynolds Number. Journal of Fluids and Structures. 54: 422-439. DOI: 10.1016/j.jfluidstructs.2014.12.002

Wu, D., Yeo, K., S., and Lim, T., T. 2014. A Numerical Study on the Free Hovering Flight of a Model Insect at Low Reynolds Number. Computers & Fluids. 103: 234-261. DOI: 10.1016/j.compfluid.2014.07.030

Broering, T., M., and Lian, Y. 2015. Numerical Study of Tandem Flapping Wing Aerodynamics in Both Two and Three Dimensions. Computers & Fluids. 115: 124-139. DOI: 10.1016/j.compfluid.2015.04.003

Altememe, A., Myers, O., J., and Hall, A. 2019. Preliminary Design and Computational Fluid Dynamic Analysis of Flapping Wing of Micro Aerial Vehicle for Low Reynolds Numbers Regime. International Journal of Aeronautics and Aerospace Engineering. 1(2): 36-45. DOI: 10.18689/ijae-1000106

Hua, Z., Y., Hui, H., J., and Huat, L., K. 2013. Numeric Simulation on the Performance of an Undulating Fin in the Wake of a Periodic Oscillating Plate. International Journal of Advanced Robotic Systems. 10(10): 1-12. DOI : 10.5772/56439

Dong, H., Mittal, R., and Najjar, F., M. 2006. Wake Topology and Hydrodynamic Performance of Low-Aspect-Ratio Flapping Foils. Journal of Fluid Mechanics. 566: 309-343. DOI : 10.1017/S002211200600190X

Li, G., Müller, U., K., Leeuwen, J., L., and Liu, H. 2012. Body Dynamics and Hydrodynamics of Swimming Fish Larvae: a Computational Study. The Journal of Experimental Biology. 215: 4015-4033. DOI : 10.1242/jeb.071837

Suryadi, A., and Obi, S. 2012. An Attempt to Evaluate Pressure Force on a Flapping Rigid Plate Using Velocity Data of PIV Measurements. ASEAN Engineering Journal Part A. 1(1): 30-44.

Masoud, H., and Alexeev, A. 2012. Efficient Flapping Flight Using Flexible Wings Oscillating at Resonance. Natural Locomotion in Fluids and on Surfaces. 155: 235-245.

Vanella, M., Fitzgerald, T., Preidikman, S., Balaras, E., and Balachandran, B. 2009. Influence of Flexibility on the Aerodynamic Performance of a Hovering Wing. The Journal of Experimental Biology. 212(1): 95-105. DOI : 10.1242/jeb.016428

Michelin, S., and Smith, S., G., L. 2009. Resonance and Propulsion Performance of a Heaving Flexible Wing. Physics of Fluids. 21(7): 071902, 1-15. DOI : 10.1063/1.3177356

Spagnolie, S., E., Moret, L., Shelley, M., J., and Zhang, J. 2010. Surprising Behaviors in Flapping Locomotion with Passive Pitching. Physics of Fluids. 22(4): 041903,1-20 DOI : 10.1063/1.3383215

Kang, C., K., Aono, H., Cesnik, C., E., S., and Shyy, W. 2011. Effects of Flexibility on the Aerodynamic Performance of Flapping Wings. Journal of Fluid Mechanics. 689: 32-74. DOI : 10.1017/jfm.2011.428

Leftwich, M., C., Tytell, E., D., Cohen, A., H., and Smits, A., J. 2012. Wake Structures Behind a Swimming Robotic Lamprey with a Passively Flexible Tail. The Journal of Experimental Biology. 215(3): 416-425. DOI: 10.1242/jeb.061440

Kato, K. 2010. PIV Measurements in Complex Flows Bounded by Deforming Surface. Thesis (Master), Keio University, Yokohama, Japan.

Zhu, X., He, G., and Zhang, X. 2014. Numerical Study on Hydrodynamic Effect of Flexibility in a Self-Propelled Plunging Foil. Computer δ Fluids. 97: 1-20.

Lee, J., S., and Lee, S., H. 2013. Fluid–Structure Interaction for the Propulsive Velocity of a Flapping Flexible Plate at Low Reynolds Number. Computer δ Fluids. 71: 348-374,

Qi, D., Liu, Y., Shyy, W., and Aono, H. 2010. Simulations of Dynamics of Plunge and Pitch of a Three-Dimensional Flexible Wing in a Low Reynolds Number Flow. Physics of Fluids. 22(9): 1-20. DOI: 10.1063/1.3481786

Ho, S., Nassef, H., Pornsinsirirak, N., Tai, Y.C., and Ho, C.M. 2003. Unsteady Aerodynamics and Flow Control for Flapping Wing Flyers. Progress in Aerospace Science. 39(8): 635-681. DOI: 10.1016/j.paerosci.2003.04.001

Eldredge, J., D., Toomey, J., and Medina, A. 2010. On the Roles of Chord-Wise Flexibility in a Flapping Wing with Hovering Kinematics. Journal of Fluid Mechanics. 659: 94-115. DOI: 10.1017/S0022112010002363

Hua, R., N., Zhu, L., and Lu, X.Y. 2013. Locomotion of a Flapping Flexible Plate. Physics of Fluids. 25(12): 1-17. DOI: 10.1063/1.4832857

Lee, K., B., Kim, J., H., and Kim, C. 2011. Aerodynamic Effects of Structural Flexibility in Two-Dimensional Insect Flapping Flight. Journal Of Aircraft. 48(3): 894-909. DOI: 10.2514/1.C031115

Wu, J., Shu, C., Zhao, N., and Tian, F., B. 2015. Numerical Study on the Power Extraction Performance of a Flapping Foil with a Flexible Tail. Physics Of Fluids. 27(1): 1-15. DOI: 10.1063/1.4905537

Jaworski, J., W., and Gordnier, R., E. 2015. Thrust Augmentation of Flapping Airfoils in Low Reynolds Number Flow Using a Flexible Membrane. Journal of Fluids and Structures. 52: 199-209. DOI: 10.1016/j.jfluidstructs.2014.08.010

Nakata, T., and Liu, H. 2012. A Fluid–Structure Interaction Model of Insect Flight with Flexible Wings. Journal of Computational Physics. 231(4): 1822-1847. DOI: 10.1016/j.jcp.2011.11.005

Cheng, X., and Lan, S. 2015. Effects of Chordwise Flexibility on the Aerodynamic Performance of a 3D Flapping Wing. Journal of Bionic Engineering. 12(3): 432-442. DOI: 10.1016/S1672-6529(14)60134-7

Masoud, H., and Alexeev, A. 2010. Resonance of Flexible Flapping Wings at Low Reynolds Number. Physical Review E. 81: 056304, 1-5 DOI: 10.1103/PhysRevE.81.056304

Lee, I., and Sung, H., J. 1999. Development of an Array of Pressure Sensors with PVDF Film. Experiments in Fluids. 26: 27-35.

Tukovi, Z., Cardiff, P., Karac, A., Jasak, H., and Ivankovic, A. 2014. OpenFOAM Library for Fluid Structure Interaction. 9th OpenFOAM Workshop, Zagreb, Croatia.

Donea, J., Huerta, A., Ponthot, J.-Ph. and Rodriguez-Ferran, A. 2004. Arbitrary Lagrangian–Eulerian Methods. Encyclopedia of Computational Mechanics. 1: 413-437.

Tuković, Ž., Karač, A., Cardiff, P., Jasak, H., and Ivanković, A. 2018. OpenFOAM Finite Volume Solver for Fluid-Solid Interaction. Transactions of Famena. 1-31. DOI: 10.21278/TOF.42301

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Published

2022-08-31

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How to Cite

FLUID FLOW INDUCED BY AN ELASTIC PLATE IN HEAVING MOTION. (2022). ASEAN Engineering Journal, 12(3), 1-9. https://doi.org/10.11113/aej.v12.16791