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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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