Well-posedness and applications of classical elastohydrodynamics for a swimming filament

Yoichiro Mori; Laurel Ohm

doi:10.1088/1361-6544/acb7c4

Well-posedness and applications of classical elastohydrodynamics for a swimming filament

Yoichiro Mori, Laurel Ohm

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in R 3 . The hydrodynamics are described by resistive force theory, and the fibre elasticity is governed by Euler-Bernoulli beam theory. Our aim is twofold: (1) Serve as a starting point for developing the mathematical analysis of filament elastohydrodynamics, particularly the analytical treatment of an inextensibility constraint, and (2) As an application, prove conditions on internal fibre forcing that allow a free-ended filament to swim. Our analysis of fibre swimming speed is supplemented with a numerical optimization of the internal fibre forcing, as well as a novel numerical method for simulating an inextensible swimmer.

Original language	English (US)
Pages (from-to)	1799-1839
Number of pages	41
Journal	Nonlinearity
Volume	36
Issue number	3
DOIs	https://doi.org/10.1088/1361-6544/acb7c4
State	Published - Mar 1 2023
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

Keywords

filament elastohydrodynamics
inextensibility
swimming at low Reynolds number

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10.1088/1361-6544/acb7c4

Cite this

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title = "Well-posedness and applications of classical elastohydrodynamics for a swimming filament",

abstract = "We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in R 3 . The hydrodynamics are described by resistive force theory, and the fibre elasticity is governed by Euler-Bernoulli beam theory. Our aim is twofold: (1) Serve as a starting point for developing the mathematical analysis of filament elastohydrodynamics, particularly the analytical treatment of an inextensibility constraint, and (2) As an application, prove conditions on internal fibre forcing that allow a free-ended filament to swim. Our analysis of fibre swimming speed is supplemented with a numerical optimization of the internal fibre forcing, as well as a novel numerical method for simulating an inextensible swimmer.",

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T1 - Well-posedness and applications of classical elastohydrodynamics for a swimming filament

AU - Mori, Yoichiro

AU - Ohm, Laurel

PY - 2023/3/1

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N2 - We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in R 3 . The hydrodynamics are described by resistive force theory, and the fibre elasticity is governed by Euler-Bernoulli beam theory. Our aim is twofold: (1) Serve as a starting point for developing the mathematical analysis of filament elastohydrodynamics, particularly the analytical treatment of an inextensibility constraint, and (2) As an application, prove conditions on internal fibre forcing that allow a free-ended filament to swim. Our analysis of fibre swimming speed is supplemented with a numerical optimization of the internal fibre forcing, as well as a novel numerical method for simulating an inextensible swimmer.

AB - We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in R 3 . The hydrodynamics are described by resistive force theory, and the fibre elasticity is governed by Euler-Bernoulli beam theory. Our aim is twofold: (1) Serve as a starting point for developing the mathematical analysis of filament elastohydrodynamics, particularly the analytical treatment of an inextensibility constraint, and (2) As an application, prove conditions on internal fibre forcing that allow a free-ended filament to swim. Our analysis of fibre swimming speed is supplemented with a numerical optimization of the internal fibre forcing, as well as a novel numerical method for simulating an inextensible swimmer.

KW - filament elastohydrodynamics

KW - inextensibility

KW - swimming at low Reynolds number

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JO - Nonlinearity

JF - Nonlinearity

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ER -

Well-posedness and applications of classical elastohydrodynamics for a swimming filament

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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