Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-04T21:05:45.897Z Has data issue: false hasContentIssue false

Numerical Simulation of a Three-Dimensional Fish-like Body Swimming with Finlets

Published online by Cambridge University Press:  20 August 2015

Shizhao Wang*
Affiliation:
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P.R. China
Xing Zhang*
Affiliation:
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P.R. China
Guowei He*
Affiliation:
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P.R. China
*
Corresponding author.Email:[email protected]
Get access

Abstract

The swimming of a 3D fish-like body with finlets is numerically investigated at Re = 1000 (the Reynolds number is based on the uniform upstream flow and the length of the fish-like body). The finlets are simply modeled as thin rigid rectangular plates that undulate with the body. The wake structures and the flow around the caudal peduncle are studied. The finlets redirect the local flow across the caudal peduncle but the vortical structures in the wake are almost not affected by the finlets. Improvement of hydrodynamic performance has not been found in the simulation based on this simple model. The present numerical result is in agreement with that of the work of Nauen and Lauder [J. Exp. Biol., 204 (2001), pp. 2251-2263] and partially supports the hypothesis of Webb [Bull. Fish. Res. Bd. Can., 190 (1975), pp. 1-159].

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2012

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]Bainbridge, R., Training, speed and stamina in trout, J. Exp. Bio., 39 (1962), 537555.Google Scholar
[2]Wu, T., Swimming of waving plate, J. Fluid Mech., 10 (1961), 321344.Google Scholar
[3]Lighthill, M., Large amplitude elongated-body theory of fish locomotion, Proc. R. Soc. Lond. B, 179 (1971), 125138.Google Scholar
[4]Zhu, Q., Wolfgang, M., and Triantafyllou, M., Three-dimensional flow structures and vorticity control in fish-like swimming, J. Fluid Mech., 468 (2002), 128.Google Scholar
[5]Zhang, J., Childress, S., Libchaber, A. and Shelley, M., Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind, Nature, 408 (2000), 835839.Google Scholar
[6]Zhu, L. and Peskin, C.S., Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method, J. Comput. Phys. 179 (2002), 452468.Google Scholar
[7]Lauder, G. V., Madden, P., Mittal, R., Dong, H. and Bozkurttas, M., Locomotion with flexible propulsors I: experimental analysis of pectoral fin swimming in sunfish, Bioinsp. Biomim. 1 (2006), S25S34.Google Scholar
[8]Dong, H., Bozkurttas, M., Mittal, R., Madden, P. and Lauder, G.V., Computational modeling and analysis of the hydrodynamics of a highly deformable fish pectoral fin, J. Fluid Mech., 645 (2010), 345373.CrossRefGoogle Scholar
[9]Bandyopadhyay, P., Swimming and flying in nature—the route toward applications: the freeman scholar lecture, J. Fluids Eng., 131 (2009), 031801.CrossRefGoogle Scholar
[10]Nauen, J. and Lauder, G., Locomotion in scombrid fishes: morphology and kinematics of the finlets of the chub mackerel scomber japonicus, J. Exp. Biol., 203 (2000), 22472259.CrossRefGoogle ScholarPubMed
[11]Walters, V., Body form and swimming performance in the scombroid fishes, Am. Zool., 2 (1962), 143149.Google Scholar
[12]Webb, W., Hydrodynamics and energetic of fish propulsion, Bull. Fish. Res. Bd. Can., 190 (1975), 1159.Google Scholar
[13]Lindsey, C., Form, function and locomotory habits in fish, in Fish Physiology volume VII: locomotion (edited by Hoar, W.S. and Randall, D.J.), Academic press, New York, 1978.Google Scholar
[14]Nauen, J. and Lauder, G., Locomotion in scombrid fishes: visualization of flow around the caudal peduncle and finlets of the chub mackerel scomber japonicus, J. Exp. Biol., 204 (2001), 22512263.Google Scholar
[15]Wu, C.J. and Wang, L., Numerical simulation of self-propelled swimming of 3D bionic fish school, Sci. China Ser. E-Tec. Sci., 52 (2009), 658669.Google Scholar
[16]Peskin, C.S., Flow patterns around heart valves: a numerical method, J. Comput. Phys., 10 (1972), 252271.CrossRefGoogle Scholar
[17]Yang, J. and Balaras, E., An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries, J. Comput. Phys. 215 (2006), 1240.CrossRefGoogle Scholar
[18]Zhang, N. and Zheng, Z.C., An improved direct-forcing immersed boundary method for finite difference applications, J. Comput. Phys. 221 (2007), 250268.Google Scholar
[19]Feng, Z.G. and Michaelides, E.E., The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems, J. Comput. Phys. 195 (2004), 602628.Google Scholar
[20]Wang, S.Z. and Zhang, X., An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows, J. Comput. Phys. 230 (2011), 34793499.Google Scholar
[21]Borzjani, I. and Sotiropoulos, F., Numerical investigation of the hydrodynamics of carangi-form swimming in the transitional and inertial flow regimes, J. Exp. Biol., 211 (2008), 15411558.Google Scholar
[22]Dong, H., Mittal, R. and Najjar, F.M., Wake topology and hydrodynamic performance of low-aspect-ratio flapping foils, J. Fluid Mech., 566 (2006), 309343.CrossRefGoogle Scholar
[23]Ellenrieder, K.D., Parker, K and Soria, J., Flow structures behind a heaving and pitching finite-span wing, J. Fluid Mech., 490 (2003), 129138.CrossRefGoogle Scholar