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A Numerical Study of Jet Propulsion of an Oblate Jellyfish Using a Momentum Exchange-Based Immersed Boundary-Lattice Boltzmann Method

Published online by Cambridge University Press:  03 June 2015

Hai-Zhuan Yuan ,
Shi Shu ,
Xiao-Dong Niu ,
Mingjun Li  and
Yang Hu
Hai-Zhuan Yuan
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Shi Shu
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Xiao-Dong Niu*
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China Department of Mechatronics, College of Engineering, Shantou University, Shantou 515063, China
Mingjun Li*
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Yang Hu*
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
*
*Corresponding author. Email: xdniu@stu.edu.cn
*Corresponding author. Email: xdniu@stu.edu.cn
*Corresponding author. Email: xdniu@stu.edu.cn
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Abstract

In present paper, the locomotion of an oblate jellyfish is numerically investigated by using a momentum exchange-based immersed boundary-Lattice Boltzmann method based on a dynamic model describing the oblate jellyfish. The present investigation is agreed fairly well with the previous experimental works. The Reynolds number and the mass density of the jellyfish are found to have significant effects on the locomotion of the oblate jellyfish. Increasing Reynolds number, the motion frequency of the jellyfish becomes slow due to the reduced work done for the pulsations, and decreases and increases before and after the mass density ratio of the jellyfish to the carried fluid is 0.1. The total work increases rapidly at small mass density ratios and slowly increases to a constant value at large mass density ratio. Moreover, as mass density ratio increases, the maximum forward velocity significantly reduces in the contraction stage, while the minimum forward velocity increases in the relaxation stage.

Keywords

60-0865C2068U20Lattice Boltzmann methodimmersed boundary methodmomentum exchangeoblate jellyfishlocomotion
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 3 , June 2014 , pp. 307 - 326
Copyright
Copyright © Global-Science Press 2014

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References

[1]Dabiri, J. O., Colin, S. P., Costello, J. H. and Gharib, M., Flow patterns generated by oblate medusan jellyfish: field measurements and laboratory analyses, J. Experimental Bio., 208(7) (2005), pp.1257–1265.Google Scholar
[2]Colin, S. P. and Costello, J. H., Morphology, swimming performance and propulsive mode of six co-occurring hydromedusae, J. Experimental Bio., 205(3) (2002), pp. 427–437.Google Scholar
[3]Costello, J. H. and Colin, S. P., Morphology, fluid motion and predation by the scyphomedusa Aurelia aurita, Marine Bio., 121 (1994), pp. 327–334.CrossRefGoogle Scholar
[4]Costello, J. H. and Colin, S. P., Flow and feeding by swimming scyphomedusae, Marine Bio., 124 (1995), pp. 399–406.CrossRefGoogle Scholar
[5]Dabiri, J. O. and Gharib, M., Sensitivity analysis of kinematic approximations in dynamic medusan swimming models, J. Experimental Bio., 206(20) (2003), pp. 3675–3680.Google Scholar
[6]Dabiri, J. O., Gharib, M., Colin, S. P. and Costello, J. H., Vortex motion in the ocean: in situ visualization of jellyfish swimming and feeding flows, Phys. Fluids, 17(9) (2005), pp. 091108.CrossRefGoogle Scholar
[7]Higgins, J. E., Ford, M. D. and Costello, J. H., Transitions in morphology, nematocyst distribution, fluid motions, and prey capture during development of the scyphomedusa cyanea capillata, The Biological Bulletin, 214(1) (2008), pp. 29–41.Google Scholar
[8]Rudolf, D. and Mould, D., Interactive jellyfish animation using simulation, in: GRAPP’09, 2009, pp. 241–248.Google Scholar
[9]Feitl, K. E., Millett, A. F., Colin, S. P., Dabiri, J. O. and Costello, J. H., Functional morphology and fluid interactions during early development of the scyphomedusa aurelia aurita, The Biological Bulletin, 217(3) (2009), pp. 283–291.Google Scholar
[10]Dular, M., Bajcar, T. and Sirok, B., Numerical investigation of flow in the vicinity of a swimming jellyfish, Eng. Appl. Comput. Fluid Mech., 3(2) (2009), pp. 258–270.Google Scholar
[11]Rudolf, D. and Mould, D., An interactive fluid model of jellyfish for animation, in: Ran-Chordas, A., Pereira, J., Araujo, H., Tavares, J. (Eds.), Computer Vision, Imaging and Computer Graphics, Theory and Applications, Vol. 68 of Communications in Computer and Information Science, Springer Berlin Heidelberg, (2010), pp. 59–72.Google Scholar
[12]Herschlag, G. and Miller, L., Reynolds number limits for jet propulsion: a numerical study of simplified jellyfish, J. Theoretical Bio., 285(1) (2011), pp. 84–95.Google Scholar
[13]Katija, K., Beaulieu, W. T., Regula, C., Colin, S. P., Costello, J. and Dabiri, J. O., Quantification of flows generated by the hydromedusa aequorea victoria: a lagrangian coherent structure analysis, Marine Ecology Progress Series, 435 (2011), pp. 111–123.Google Scholar
[14]Sahin, M., Mohseni, K. and Colin, S. P., The numerical comparison of flow patterns and propulsive performances for the hydromedusae sarsia tubulosa and aequorea victoria, J. Experimental Bio., 212(16) (2009), pp. 2656–2667.Google Scholar
[15]Mchenry, M. J. and Jed, J., The ontogenetic scaling of hydrodynamics and swimming performance in jellyfish (aurelia aurita), J. Experimental Bio., 206(22) (2003), pp. 4125–4137.Google Scholar
[16]Ford, M. and Costello, J., Kinematic comparison of bell contraction by four species of hydromedusae, Scientia Marina, 64 (2000), pp. 47–53.Google Scholar
[17]Dabiri, J. O., On the estimation of swimming and flying forces from wake measurements, J. Experimental Bio., 208(18) (2005), pp. 3519–3532.CrossRefGoogle ScholarPubMed
[18]Dabiri, J., Colin, S. and Costello, J., Morphological diversity ofmedusan lineages constrained by animal-fluid interactions, J. Experimental Bio., 210(11) (2007), pp. 1868–1873.Google Scholar
[19]Rudolf, D. T., Jellyfish Through Numerical Simulation and Symmetry Exploitation, Ph.D. thesis, University of Saskatchewan, Saskatoon, SK, Canada, 2008.Google Scholar
[20]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, Phys. Lett. A, 354(3) (2006), pp. 173–182.Google Scholar
[21]Chen, S. and Doolen, G. D., Lattice Boltzmann method for fluid flows, Annual Rev. Fluid Mech., 30 (1998), pp. 329–364.CrossRefGoogle Scholar
[22]Peskin, C. S., Flow patterns around heart valves: a numerical method, J. Comput. Phys., 10(2) (1972), pp. 252–271.Google Scholar
[23]Peng, J. AND Dabiri, J. O., Transport of inertial particles by lagrangian coherent structures: application to predator-prey interaction in jellyfish feeding, J. Fluid Mech., 623 (2009), pp. 75–84.CrossRefGoogle Scholar
[24]Dabiri, J. O., Colin, S. P. and Costello, J. H., Fast-swimming hydromedusae exploit velar kinematics to form an optimal vortex wake, J. Experimental Bio., 209(11) (2006), pp. 2025–2033.Google Scholar
[25]Bullard, E., Physical properties of sea water 2.7.9, , August 2010.Google Scholar
[26]Ford, M. D., Costello, J. H., Heidelberg, K. B. and Purcell, J. E., Swimming and feeding by the scyphomedusa chrysaora quinquecirrha, Marine Biology, 129 (1997), pp. 355–362.CrossRefGoogle Scholar
[27]Purcell, E. M., Life at low Reynolds number, AmeR. J. Phys., 45(1) (1977), pp. 3–11.Google Scholar
[28]Yuan, H. Z., Niu, X. D., Shu, S., Li, M. J. and Hiroshi, Y., A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow, Comput. Math. Appl., accepted, Jan 5, 2014.Google Scholar