Lecture 17

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.title[
# Lecture 17
]
.subtitle[
## Lift for a Living
]
.author[
### Dr. Christopher Kenaley
]
.institute[
### Boston College
]
.date[
### 2024/03/19
]

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# Lift for a Living

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

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Today we'll talk about ....

- The Eyes have it

- Theories for lift

- Problems (i.e., tradeoffs) with lift

- MP4 and wing design

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<iframe width="560" height="315" src="https://www.youtube.com/embed/UqBmdZ-BNig" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>

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# Back to Bernouli

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Along a streamline PE + KE + W + **E dissipated** = constant

`$$(P_2-P_1)/\rho+(u_2^2-u_1^2)/2=0$$` 
<img src="img/bernlift.png" width="650" />
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# Lift, as old as DiVinci

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<img src="img/devinci.jpg" width="650" />

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# A great read

.pull-left[

<img src="https://cdn.powered-by-nitrosell.com/product_images/1/162/large-272169_WRBR%20McCullough%20Book.jpg" width="500" />
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.pull-right[
<img src="https://www.pbs.org/wgbh/nova/wright/images/repo-wrightbrothers.jpg" width="300" />

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# A great read

.center[

<img src="https://www.wright-brothers.org/History_Wing/Wright_Story/Inventing_the_Airplane/Wagging_Its_Tail/Wagging_Its_Tail_images/Wing_twisting_Pettigrew_242.jpg" width="250" />

<img src="https://kids.wng.org/sites/default/files/styles/slide/public/3_WingWarp_750x539.jpg?itok=45Dt76jB" width="500" />

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# A great read

.pull-left[

<img src="https://www.wright-brothers.org/History_Wing/Wright_Story/Inventing_the_Airplane/Wagging_Its_Tail/Wagging_Its_Tail_images/Wing_twisting_Pettigrew_242.jpg" width="250" />

<img src="https://monovisions.com/wp-content/uploads/2015/02/Wright-Brothers-First-Flight-in-1903-06-1040x440.jpg" width="450" />

]

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<img src="https://qph.fs.quoracdn.net/main-qimg-fe4802c2f00aca5bbe453f9100e85c60-c" width="500" />

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# Lift from Bernoulli
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Path length not a factor

<iframe width="560" height="315" src="https://www.youtube.com/embed/UqBmdZ-BNig" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
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# Lift from circulation

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<img src="img/circflow.png" width="300" />

With the mean subtracted, there is an effective
circulation ( Γ ) about the wing. Greater Γ implies a
greater velocity difference 
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<img src="img/circvect.png" width="450" />

<img src="img/circvect2.png" width="450" />

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# Lift from circulation

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w = downwash

<iframe width="560" height="315" src="https://www.youtube.com/embed/UqBmdZ-BNig" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
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# Lift tradeoffs

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<img src="img/spanchord.png" width="450" />

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# Lift tradeoffs

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<img src="img/ARbirds.png" width="650" />

Habitats?

Flight behavior?
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# Lift tradeoffs

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<img src="img/realdrag.png" width="650" />

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# Lift tradeoffs

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<img src="http://blogs.bu.edu/biolocomotion/files/2011/10/trailing-vortex.jpg" width="650" />

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# Lift tradeoffs

.center[

<img src="https://www.flytime.ca/files/2013/05/wingtip_vortices_flyingindiancom.jpg" width="650" />

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# Lift tradeoffs

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<img src="https://www.grc.nasa.gov/www/k-12/airplane/Images/incline.gif" width="650" />

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# Lift tradeoffs

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<img src="img/lifttodrag.png" width="650" />

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# Thanks!

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