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The Fluid Dynamics of Feeding In the Upside-Down Jellyfish

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Natural Locomotion in Fluids and on Surfaces

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 155))

Abstract

The jellyfish has been the subject of numerous mathematical and physical studies ranging from the discovery of reentry phenomenon in electrophysiology to the development of axisymmetric methods for solving fluid-structure interaction problems. In the area of biologically inspired design, the jellyfish serves as a simple case study for understanding the fluid dynamics of unsteady propulsion with the goal of improving the design of underwater vehicles. In addition to locomotion, the study of jellyfish fluid dynamics could also lead to innovations in the design of filtration and sensing systems since an additional purpose of bell pulsations is to bring fluid to the organism for the purposes of feeding and nutrient exchange. The upside-down jellyfish, Cassiopea spp., is particularly well suited for feeding studies since it spends most of its time resting on the seafloor with its oral arms extended upward, pulsing to generate currents used for feeding and waste removal. In this paper, experimental measurements of the bulk flow fields generated by these organisms as well as the results from supporting numerical simulations are reviewed. Contraction, expansion, and pause times over the course of many contraction cycles are reported, and the effects of these parameters on the resulting fluid dynamics are explored. Of particular interest is the length of the rest period between the completion of bell expansion and the contraction of the next cycle. This component of the pulse cycle can be modeled as a Markov process. The discrete time Markov chain model can then be used to simulate cycle times using the distributions found empirically. Numerical simulations are used to explore the effects of the pulse characteristics on the fluid flow generated by the jellyfish. Preliminary results suggest that pause times have significant implications for the efficiency of particle capture and exchange.

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Author information

Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, 27695, Raleigh, NC, USA

    Christina Hamlet

  2. Department of Mathematics, University of North Carolina, 27599, Chapel Hill, NC, USA

    Laura A. Miller & Terry Rodriguez

  3. Department of Biomedical Engineering, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    Arvind Santhanakrishnan

Authors
  1. Christina Hamlet
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  2. Laura A. Miller
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  3. Terry Rodriguez
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  4. Arvind Santhanakrishnan
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Editor information

Editors and Affiliations

  1. Courant Institute of Math Sciences, New York University, Mercer Street 251, New York City, 10012, New York, USA

    Stephen Childress

  2. Massachusetts Institute of Technology, Massachusetts Avenue 77, Cambridge, 02139, Massachusetts, USA

    Anette Hosoi

  3. , Department of Mechanical Engineering, The University of Michigan, Auto Lab 2027, Ann Arbor, 48109, Michigan, USA

    William W. Schultz

  4. , Mechanical and Aerospace Engineering, Cornell University, Ithaca, 14850, New York, USA

    Jane Wang

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Hamlet, C., Miller, L.A., Rodriguez, T., Santhanakrishnan, A. (2012). The Fluid Dynamics of Feeding In the Upside-Down Jellyfish. In: Childress, S., Hosoi, A., Schultz, W., Wang, J. (eds) Natural Locomotion in Fluids and on Surfaces. The IMA Volumes in Mathematics and its Applications, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3997-4_3

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