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Numerical Investigation of Unsteady Flows Past Flapping Wings with Immersed Boundary-Lattice Boltzmann Method

Published online by Cambridge University Press:  24 July 2017

C. L. Gong ,
Z. J. Yuan ,
Q. Zhou ,
G. Chen  and
Z. Fang
C. L. Gong
Affiliation:
Shaanxi Aerospace Flight Vehicle Design Key LaboratorySchool of AstronauticsNorthwestern Polytechnical UniversityXi'an, China
Z. J. Yuan
Affiliation:
State Key Laboratory of Mechanical Structural Strength and VibrationShaanxi Key Laboratory for Environment and Control of Flight VehicleXi'an Jiaotong UniversityXi'an, China
Q. Zhou
Affiliation:
State Key Laboratory of Mechanical Structural Strength and VibrationShaanxi Key Laboratory for Environment and Control of Flight VehicleXi'an Jiaotong UniversityXi'an, China
G. Chen*
Affiliation:
State Key Laboratory of Mechanical Structural Strength and VibrationShaanxi Key Laboratory for Environment and Control of Flight VehicleXi'an Jiaotong UniversityXi'an, China
Z. Fang
Affiliation:
Shaanxi Aerospace Flight Vehicle Design Key LaboratorySchool of AstronauticsNorthwestern Polytechnical UniversityXi'an, China
*
*Corresponding author ([email protected])
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Abstract

Biomimetic motions are helpful to underwater vehicles and new conception airplanes design. The lattice Boltzmann method with an immersed boundary method technique is used to reveal the propulsion and lift enhancement mechanism of biomimetic motions. The flow past a sphere and an ellipsoidal flapping wing were validated respectively by comparing with other numerical methods. Then a single flapping wing and three flapping wings in a tandem arrangement are accomplished respectively. It founds that the mean thrust coefficient of three plate wings is bigger than the one of the single plate wing. Three ellipsoidal wings and single ellipsoidal wing are compared. It shows that the single ellipsoidal wing has larger thrust coefficients than the three ellipsoidal wings. Ellipsoidal flapping wing and plate wing were further compared to investigate the influence of wing shape. It indicates the mean thrust coefficient of the ellipsoidal wing is bigger than the plate wing.

Keywords

Lattice-Boltzmann methodImmersed boundary methodFlapping wingThrust coefficient
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 2 , April 2018 , pp. 193 - 207
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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References

1. Blondeaux, P., Fornarelli, F., Guglielmini, L., Triantafyllou, M. S. and Verzicco, R., “Numerical Experiments on Flapping Foils Mimicking Fish-Like Locomotion,” Physics of Fluids, 17, 113601 (2005).Google Scholar
2. Lewin, G. C. and Hajhariri, H., “Modelling Thrust Generation of a Two-Dimensional Heaving Airfoil in a Viscous Flow,” Journal of Fluid Mechanics, 492, pp. 339–362 (2003).Google Scholar
3. Wang, Z. J., “Vortex Shedding and Frequency Selection in Flapping Flight,” Journal of Fluid Mechanics, 410, pp. 323–341 (2000).Google Scholar
4. Godoydiana, R., Aider, J. L. and Wesfreid, J. E., “Transitions in the Wake of a Flapping Foil,” Physics, 77, pp. 981–984 (2008).Google ScholarPubMed
5. Koochesfahani, M. M., “Vortical Patterns in the Wake of an Oscillating Airfoil,” 25th AIAA Aerospace Sciences Meeting, U.S. (1989).Google Scholar
6. Anderson, J. M., Streitlien, K., Barrett, D. S. and Triantafyllou, M. S., “Oscillating Foils of High Propulsive Efficiency,” Journal of Fluid Mechanics, 360, pp. 41–72 (1998).CrossRefGoogle Scholar
7. Triantafyllou, M. S., Techet, A. H. and Hover, F. S., “Review of Experimental Work in Biomimetic Foils,” IEEE Journal of Oceanic Engineering, 29, pp. 585–594 (2004).Google Scholar
8. Zhang, J., “Locomotion of a Passively Flapping Flat Plate,” Journal of Fluid Mechanics, 659, pp. 43–68 (2010).Google Scholar
9. Sarkar, S. and Venkatraman, K., “Numerical Simulation of Thrust Generating Flow past a Pitching Airfoil,” Computers & Fluids, 35, pp. 16–42 (2006).CrossRefGoogle Scholar
10. Guglielmini, L. and Blondeaux, P., “Propulsive Efficiency of Oscillating Foils,” European Journal of Mechanics - B/Fluids, 23, pp. 255–278 (2004).Google Scholar
11. Lu, X. Y. and Liao, Q., “Dynamic Responses of a Two-Dimensional Flapping Foil Motion,” Physics of Fluids (1994-present), 18, pp. 4173–4180 (2006).Google Scholar
12. Pedro, G., Suleman, A. and Djilali, N., “A Numerical Study of the Propulsive Efficiency of a Flapping Hydrofoil,” International Journal for Numerical Methods in Fluids, 42, pp. 493–526 (2003).Google Scholar
13. Ramamurti, R. and Sandberg, W. C., “A Computational Investigation of the Three-Dimensional Unsteady Aerodynamics of Drosophila Hovering and Maneuvering,” Journal of Experimental Biology, 210, pp. 881–896 (2007).Google Scholar
14. Altshuler, D. L., Princevac, M., Pan, H. and Lozano, J., “Wake Patterns of the Wings and Tail of Hovering Hummingbirds,” Experiments in Fluids, 46, pp. 835–846 (2009).Google Scholar
15. Hedenström, A., Rosén, M. and Spedding, G. R., “Vortex Wakes Generated by Robins Erithacus Rubecula during Free Flight in a Wind Tunnel,” Journal of the Royal Society Interface, 3, pp. 263–276 (2006).Google Scholar
16. Muijres, F. T. et al., “Leading-Edge Vortex Improves Lift in Slow-Flying Bats,” Science, 319, pp. 1250–1253 (2008).Google Scholar
17. Tobalske, B. W. and Dial, K. P., “Aerodynamics of Wing-Assisted Incline Running in Birds,” Journal of Experimental Biology, 210, pp. 1742–1751 (2007).Google Scholar
18. Aono, H., Liang, F. and Liu, H., “Near- and Far-Field Aerodynamics in Insect Hovering Flight: an Integrated Computational Study,” Journal of Experimental Biology, 211, pp. 239–257 (2008).Google Scholar
19. Peng, J., Dabiri, J. O., Madden, P. G. and Lauder, G. V., “Non-Invasive Measurement of Instantaneous Forces during Aquatic Locomotion: a Case Study of the Bluegill Sunfish Pectoral Fin,” Journal of Experimental Biology, 210, pp. 685–698 (2007).CrossRefGoogle ScholarPubMed
20. Sakakibara, J., Nakagawa, M. and Yoshida, M., “Stereo-PIV Study of Flow Around a Maneuvering Fish,” Experiments in Fluids, 36, pp. 282–293 (2004).CrossRefGoogle Scholar
21. Usherwood, J. R. and Ellington, C. P., “The Aerodynamics of Revolving Wings I. Model Hawkmoth Wings,” Journal of Experimental Biology, 205, pp. 1547–1564 (2002).Google Scholar
22. Sun, M. and Tang, J., “Lift and Power Requirements of Hovering Flight in Drosophilavirilis,” Journal of Experimental Biology, 205, pp. 2413–2427 (2002).CrossRefGoogle Scholar
23. Buchholz, J. H. J., Green, M. A. and Smits., J., “Scaling the Circulation Shed by a Pitching Panel,” Journal of Fluid Mechanics, 688, pp. 591–601 (2011).Google Scholar
24. Buchholz, J. H. and Smits, A. J., “The Wake Structure and Thrust Performance of a Rigid Low-Aspect-Ratio Ppitching Panel,” Journal of Fluid Mechanics, 603, pp. 331–365 (2008).Google Scholar
25. Green, M. A., Rowley, C.W. and Smits, A. J., “The Unsteady Three-Dimensional Wake Produced by a Trapezoidal Pitching Panel,” Journal of Fluid Mechanics, 685, pp. 117–145 (2011).CrossRefGoogle Scholar
26. Green, M. A. and Smits, A. J., “Effects of Three-Dimensionality on Thrust Production by a Pitching Panel,” Journal of Fluid Mechanics, 615, pp. 211–220 (2008).CrossRefGoogle ScholarPubMed
27. Dong, H., Mittal, R. and Najjar, F. M., “Wake Topology and Hydrodynamic Performance of Low-Aspect-Ratio Flapping Foils,” Journal of Fluid Mechanics, 566, pp. 309–343 (2006).Google Scholar
28. Pan, D. Y., “Studies on the Hydrodynamics Mechanism of Fishlike Swimming with Immersed Boundary Methods,” M.S. Thesis, Zhejiang University, Hangzhou, China (2011).Google Scholar
29. Zhang, L. P., Chang, X. H., Duan, X. P. and Zhang, H. X., “Computational Study of Three Fish Schooling in Triangular Array,” Journal of Hydrodynamics, 22, pp. 753–760 (2007).Google Scholar
30. Deng, J. and Shao, X. M., “Hydrodynamics in a Diamond-Shaped Fish School,” Journal of Hydrodynamics, 18, pp. 438–442 (2006).Google Scholar
31. Dong, G. J. and Lu, X. Y., “Characteristics of Flow over Traveling Wavy Foils in a Side-by-Side Arrangement,” Physics of Fluids, 19, 99 (2007).Google Scholar
32. Broering, T. M. and Lian, Y., “Numerical Study of Tandem Flapping Wing Aerodynamics in Both Two and Three Dimensions,” Computers & Fluids, 115, pp. 124–139 (2015).Google Scholar
33. Tian, F. B., Luo, H., Zhu, L. and Lu, X. Y., “Interaction between a Flexible Filament and a Downstream Rigid Body,” Physical Review E Statistical Nonlinear & Soft Matter Physics, 82, pp. 530–539 (2010).Google Scholar
34. Aidun, C. K. and Clausen, J. R., “Lattice-Boltzmann Method for Complex Flows,” Annual Review of Fluid Mechanics, 42, pp. 439–472 (2009).Google Scholar
35. Feng, Z. G. and Michaelides, E. E., “The Immersed Boundary-Lattice Boltzmann Method for Solving Fluid–Particles Interaction Problems,” Journal of Computational Physics, 195, pp. 602–628 (2004).Google Scholar
36. Feng, Z. G. and Michaelides, E. E., “Proteus—a Direct Forcing Method in the Simulation of Particulate Flows. J Comput Phys,” Journal of Computational Physics, 202, pp. 20–51 (2005).Google Scholar
37. Fadlun, E. A., Verzicco, R., Orlandi, P. and Mohd-Yusof, J., “Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations,” Journal of Computational Physics, 161, pp. 35–60 (2000).Google Scholar
38. Niu, X. D., Shu, C., Chew, Y. T. and Peng, Y., “A Momentum Exchange-Based Immersed Boundary-Lattice Boltzmann Method for Simulating Incompressible Viscous Flows,” Physics Letters A, 354, pp. 173–182 (2006).Google Scholar
39. Wu, J. and Shu, C., “Implicit Velocity Correction-Based Immersed Boundary-Lattice Boltzmann Method and its Applications,” Journal of Computational Physics, 228, pp. 1963–1979 (2009).Google Scholar
40. Yuanqing, X. et al., “IB-LBM Simulation of the Haemocyte Dynamics in a Stenotic Capillary,” Computer Methods in Biomechanics & Biomedical Engineering, 17, pp. 978–985 (2012).Google Scholar
41. Inamuro, T., Kimura, Y. and Suzuki, K., “Flight Simulations of a Two-Dimensional Flapping Wing by the IB-LBM,” International Journal of Modern Physics C, 25, pp. 265–284 (2013).Google Scholar
42. Peskin, C. S., “Flow Patterns around Heart Valves,” Lecture Notes in Physics, 10, pp. 214–221 (1973).Google Scholar
43. Peskin, C. S., “Numerical Analysis of Blood Flow in the Heart,” Journal of Computational Physics, 25, pp. 220–252 (1977).Google Scholar
44. Peskin, C. S., “The Immersed Boundary Method,” Acta Numerica, 11, pp. 479–517 (2002).Google Scholar
45. Krüger, T., Introduction to the Immersed Boundary Method, LBM Workshop, Edmonton (2011).Google Scholar
46. Frisch, U., Hasslacher, B. and Pomeau, Y., “Lattice-Gas Automata for the Navier-Stokes Equation,” Physical Review Letters, 56, pp. 1505–1508 (1986).Google Scholar
47. Wu, T. T., “Hydromechanics of Swimming Propulsion. Part 1. Swimming of a Two-Dimensional Flexible Plate at Variable Forward Speeds in an Inviscid Fluid,” Journal of Fluid Mechanics, 46, pp. 337–355 (1971).Google Scholar
48. Roos, F. W. and Willmarth, W. W., “Some Experimental Results on Sphere and Disk Drag,” Aiaa Journal, 9, pp. 285–291 (1971).CrossRefGoogle Scholar
49. Hunt, J., Wray, A. and Moin, P., “Eddies, Streams, Convergence Zones in Turbulent Flows,” Studying Turbulence Using Numerical Simulation Databases, 2, pp.193-208 (1988).Google Scholar