Functional geometry of ciliated tentacular arrays in active suspension feeders
Abstract
Parallel tentacular structures with lateral cilia that produce suspension-feeding and respiratory flows occur repeatedly in many diverse taxonomic groups. We use a computational hydrodynamic model of flow through ciliated tentacles to simulate flow rates through ciliated tentacle arrays. We examine the functional relationship of one performance measure, flow rate per unit length of array, to geometrical variables, such as cilia length, cilia tip speed and the gap between adjacent tentacles, and to hydrodynamic operating conditions, such as adverse pressure drops across the array. We present a scaling and interpolation scheme to estimate flow rates for a wide range of geometries that span many taxa. Our estimates of flow rate can be coupled with the hydrodynamic characteristics of biological piping systems to understand design trade-offs between components of these systems. As a case study, we apply the model to the blue mussel Mytilus edulis by investigating the effect on performance of changes in the gap between neighboring tentacles. Our model suggests that the observed gaps between tentacles in M. edulis reflect flow-maximizing geometries. Even relatively weak adverse pressure drops have strong effects on flow-maximizing geometries and flow rates. One consequence is that an intermediate range of pressure drops may be unfavorable, suggesting that animals may specialize into high-pressure and low-pressure piping systems associated with differences in organism size and with their strategy for eliminating depleted water.
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The immersed boundary method has been applied to a wide variety of problems in biological fluid dynamics for intermediate Re including insect flight, aquatic locomotion, and ciliary driven flows.
“The immersed boundary method has been applied to a wide variety of problems in biological fluid dynamics for intermediate Re including insect flight [26, 27, 28], aquatic locomotion [16, 15], and ciliary driven flows [18].”
From Reynolds number limits for jet propulsion: a numerical study of simplified jellyfish (2011) · cites this paper as [18]
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- Authors
- Grünbaum, D., Eyre, D., & Fogelson, A.
- Affiliations
- University of Washington (US)
- Venue
- Journal of Experimental Biology
- Publisher
- The Company of Biologists
- Published
- 1998-09-15
- Volume
- 201
- Issue
- 18
- Pages
- 2575-2589
- ISSN
- 0022-0949 (ISSN-L)
- 1477-9145
- OpenAlex
- W2168190949
- Cited by
- 28
- References
- 44
- Citations by year
- 2026: 1 · 2021: 1 · 2018: 1 · 2017: 2 · 2015: 1 · 2014: 1 · 2013: 1 · 2012: 1
- FWCI
- 3.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Experimental Biology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Environmental Science › Global and Planetary Change › Marine Bivalve and Aquaculture Studies
- Physical Sciences › Engineering › Aerospace Engineering › Biomimetic flight and propulsion mechanisms
- Physical Sciences › Engineering › Mechanical Engineering › Heat Transfer and Optimization
- Keywords
- filter feeding, flow rate, cilia, hydrodynamic scaling, Mytilus edulis, cilia length, respiratory airflow
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