Lecture 19

.title[
# Lecture 19
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.subtitle[
## Fish Swimming
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.author[
### Dr. Christopher Kenaley
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.institute[
### Boston College
]
.date[
### 2024/03/26
]

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<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.14.0/css/all.min.css">

- Fish swimming basics (thrust, modes, etc.)

- Efficiency

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# Swimming basics

<img src="img/sharkmove1.jpg" width="650" />
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# Swimming basics

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# Swimming basics

Elongate Body Theory

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# Efficient swimming

`\(\textrm{Strouhal number, S}t=\frac{fA}{U}\)`

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.center[
Propulsive efficiency peaks when the kinematics result in maximum amplification of the shed vortices in the wake and an average velocity profile equivalent to a jet
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# Efficient swimming

`\(\textrm{Froude number, Fr}=\frac{2U_f}{U_f+U_j}\)`

Propulsive efficiency peaks when the kinematics result in maximum amplification of the shed vortices in the wake and an average velocity profile equivalent to a jet
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# Swimming modes in fishes

.pull-left[
<img src="https://www.researchgate.net/profile/Fotis-Sotiropoulos/publication/47809555/figure/fig4/AS:277256258768897@1443114451095/Simulated-swimming-modes-and-body-shapes-A-Midline-tracings-of-carangiform-and.png" width="650" />

Once characterized by Amplitude and body "stiffness".

Now being reassessed, but generally a continuum according to where thrust is produced.

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# Back to efficiency

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# Back to efficiency

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# Using vortices

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# Using vortices

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# Using vortices

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# Thanks!

Slides created via the R package [**xaringan**](https://github.com/yihui/xaringan).