Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T18:01:09.305Z Has data issue: false hasContentIssue false
  • English
  • Français

Two-Dimensional Dynamic Ground Effect on a Swimming Undulating Plate: A Parametric Study

Published online by Cambridge University Press:  04 September 2017

D. M. Sierra  and
J. H. Guo
D. M. Sierra
Affiliation:
Engineering Science & Ocean Engineering DepartmentNational Taiwan UniversityTaipei, Taiwan
J. H. Guo*
Affiliation:
Engineering Science & Ocean Engineering DepartmentNational Taiwan UniversityTaipei, Taiwan
*
*Corresponding author (jguo@ntu.edu.tw)
Get access

Abstract

The dynamic ground effect enhances the swimming of fish. The dynamic ground effect affects the kinematic conditions of fish, causing them to swim more efficiently. However, predicting the degree to which the dynamic ground effect can improve the swimming performance of fish is difficult. The dynamic ground effect can potentially save energy for biomimetic underwater vehicles. Therefore, a theoretical model was developed to investigate the effect of a planar boundary on the swimming performance of a two-dimensional undulating plate. General expressions for the thrust, power input, efficiency, and energy loss of the plate were obtained. As examples, cases in which an undulating plate with linearly varying amplitude swam far from and close to a wall under a range of different kinematic conditions were studied. The dynamic ground effect improved the swimming performance of the plate by reducing the power input while maintaining an almost constant thrust; the degree of improvement depended on the kinematic conditions of the plate. Furthermore, the swimming performance of the plate was improved over a range of distances from the wall; this range of distances also depended on the kinematic conditions of the plate.

Keywords

Undulating platePotential flowFish swimmingDynamic ground effect
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 6 , December 2018 , pp. 863 - 877
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Blevins, E. and Lauder, G. V., “Swimming Near the Substrate: A Simple Robotic Model of Stingray Locomotion,” Bioinspiration & Biomimetics, 8, 016005 (2013).Google Scholar
2. Webb, P. W., “Kinematics of Plaice, Pleuronectes platessa, and Cod, Gadus morhua, Swimming Near the Bottom,” Journal of Experimental Biology, 205, pp. 2125–2134 (2002).Google Scholar
3. Kanso, E. and Newton, P. K., “Locomotory Advantages to Flapping Out of Phase,” Experimental Mechanics, 50, pp. 1367–1372 (2010).Google Scholar
4. Nowroozi, B. N., Strother, J. A., Horton, J. M., Summers, A. P. and Brainerd, E. L., “Whole-Body Lift and Ground Effect During Pectoral Fin Locomotion in the Northern Spearnose Poacher (Agonopsis vulsa),” Zoology, 112, pp. 393–402 (2009).Google Scholar
5. Prats, R. F., Raspa, V., Thiria, B., Huarte, F. H. and Diana, R. G., “Large-Amplitude Undulatory Swimming Near a Wall,” Bioinspiration & Biomimetics, 10, pp. 1–15 (2015).Google Scholar
6. Quinn, D. B., Moored, K. W., Dewey, P. A. and Smits, A. J., “Unsteady Propulsion Near a Solid Boundary,” Journal of Fluid Mechanics, 742, pp. 152–170 (2014).Google Scholar
7. Quinn, D. B., Lauder, G. V. and Smits, A. J., “Flexible Propulsors in Ground Effect,” Bioinspiration & Biomimetics, 9, 036008 (2014).Google Scholar
8. Dai, L. Z., He, G. W. and Zhang, X., “Self-Propulsion of a Flexible Plunging Foil Near a Solid Wall,” Proceedings of the 7 th International Conference on Fluid Mechanics ICFM7, Procedia Engineering, Beijing, China, 126, pp. 431–435 (2015).Google Scholar
9. Fung, Y. C., An Introduction to the Theory of Aeroelasticity, Dover Publications, Inc., New York, (2008).Google Scholar
10. Wu, Y. T., “Swimming of a Waving Plate,” Journal of Fluid Mechanics, 10, pp. 321–344 (1961).Google Scholar
11. Eloy, C. and Schouveiler, L., “Optimization of Two-Dimensional Undulatory Swimming at High Reynolds Number,” International Journal of Non-Linear Mechanics, 46, pp. 568–576 (2011).Google Scholar
12. Luke, Y. L. and Dengler, M. A., “Tables of the Theodorsen Circulation Function for Generealized Motion,” Journal of the Aeronautical Sciences, 18, pp. 478–483 (1951).Google Scholar
13. Schlichting, H. and Gersten, K., Boundary-Layer Theory, Springer-Verlag, Berlin (2003).Google Scholar