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Boyle’s Law ignores dynamic processes in governing barotrauma in fish

Boyle’s Law ignores dynamic processes in governing barotrauma in fish
Boyle’s Law ignores dynamic processes in governing barotrauma in fish
The expansion and potential rupture of the swim bladder due to rapid decompression, a major cause of barotrauma injury in fish that pass through turbines and pumps, is generally assumed to be governed by Boyle’s Law. In this study, two swim bladder expansion models are presented and tested in silico. One based on the quasi-static Boyle’s Law, and a Modified Rayleigh Plesset Model (MRPM), which includes both inertial and pressure functions and was parametrised to be representative of a fish swim bladder. The two models were tested using a range of: (1) simulated and (2) empirically derived pressure profiles. Our results highlight a range of conditions where the Boyle’s Law model (BLM) is inappropriate for predicting swim bladder size in response to pressure change and that these conditions occur in situ, indicating that this is an applied and not just theoretical issue. Specifically, these conditions include any one, or any combination, of the following factors: (1) when rate of pressure change is anything but very slow compared to the resonant frequency of the swim bladder; (2) when the nadir pressure is near or at absolute zero; and (3) when a fish experiences liquid tensions (i.e. negative absolute pressures). Under each of these conditions, the MRPM is more appropriate tool for predicting swim bladder size in response to pressure change and hence it is a better model for quantifying barotrauma in fish.
2045-2322
Kerr, J.R.
cfdf2892-19c2-4206-9416-848b2b0f672c
White, P.R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Silva, L.G.M.
b2743385-cbcf-4d5d-8063-8d9c771337ae
Kemp, P.S.
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Kerr, J.R.
cfdf2892-19c2-4206-9416-848b2b0f672c
White, P.R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Silva, L.G.M.
b2743385-cbcf-4d5d-8063-8d9c771337ae
Kemp, P.S.
9e33fba6-cccf-4eb5-965b-b70e72b11cd7

Kerr, J.R., White, P.R., Leighton, T.G., Silva, L.G.M. and Kemp, P.S. (2023) Boyle’s Law ignores dynamic processes in governing barotrauma in fish. Scientific Reports, 13 (1), [19125]. (doi:10.1038/s41598-023-46125-9).

Record type: Article

Abstract

The expansion and potential rupture of the swim bladder due to rapid decompression, a major cause of barotrauma injury in fish that pass through turbines and pumps, is generally assumed to be governed by Boyle’s Law. In this study, two swim bladder expansion models are presented and tested in silico. One based on the quasi-static Boyle’s Law, and a Modified Rayleigh Plesset Model (MRPM), which includes both inertial and pressure functions and was parametrised to be representative of a fish swim bladder. The two models were tested using a range of: (1) simulated and (2) empirically derived pressure profiles. Our results highlight a range of conditions where the Boyle’s Law model (BLM) is inappropriate for predicting swim bladder size in response to pressure change and that these conditions occur in situ, indicating that this is an applied and not just theoretical issue. Specifically, these conditions include any one, or any combination, of the following factors: (1) when rate of pressure change is anything but very slow compared to the resonant frequency of the swim bladder; (2) when the nadir pressure is near or at absolute zero; and (3) when a fish experiences liquid tensions (i.e. negative absolute pressures). Under each of these conditions, the MRPM is more appropriate tool for predicting swim bladder size in response to pressure change and hence it is a better model for quantifying barotrauma in fish.

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Accepted/In Press date: 27 October 2023
Published date: 5 November 2023
Additional Information: Funding Information: We are grateful to Dr Jeffrey Tuhtan for providing the pumping station dataset used in this study. This research was funded by (1) an Institutional Links 2017 grant, ID 332396528, under the Newton-Brazil Fund partnership (British Council) (Brazilian funding: FAPEMIG, project ID: CHE-APQ-04822-17, call: CONFAP-British Council) and (2) the Engineering and Physical Sciences Research Council (Reference: EP/N005961/1) through the IDEAS Factory Sandpits programme. Publisher Copyright: © 2023, The Author(s).

Identifiers

Local EPrints ID: 484143
URI: http://eprints.soton.ac.uk/id/eprint/484143
ISSN: 2045-2322
PURE UUID: aa456244-e24c-4d66-8177-c185f3f9fdde
ORCID for J.R. Kerr: ORCID iD orcid.org/0000-0002-2990-7293
ORCID for P.R. White: ORCID iD orcid.org/0000-0002-4787-8713
ORCID for T.G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750
ORCID for P.S. Kemp: ORCID iD orcid.org/0000-0003-4470-0589

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Date deposited: 10 Nov 2023 18:05
Last modified: 18 Mar 2024 03:22

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Contributors

Author: J.R. Kerr ORCID iD
Author: P.R. White ORCID iD
Author: T.G. Leighton ORCID iD
Author: L.G.M. Silva
Author: P.S. Kemp ORCID iD

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