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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
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<link rel="icon" href="favicon.png" type="image/x-icon">
<title>Motion of a Fluid Particle (Kinematics)</title>
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<div class="title">Motion of a Fluid Particle (Kinematics)</div>
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<p>
It may seem difficult to distinguish between rotation and angular deformation of the infinitesimal fluid particle.
It is important to do so, because pure rotation involves no deformation but angular deformation does, and fluid deformation generates shear stresses
<img src="Figures/Lecture1A_DeformationShearFlow.png"
alt="DeformationShearFlow"
style="height: 7em; vertical-align: middle;">
</p>
<p>Figure below shows a typical <i>xy</i> plane motion decomposed into the four components</p>
</div>
<div class="image-container" style="text-align: left;">
<img src="Figures/Lecture1A_TypesFluidMotion.png" alt="TypesFluidMotion" style="max-width: 59%; height: auto; display: block; margin: auto;">
<ul class="custom-list">
<li><span class="sql">translation</span>, in which the particle moves from one point to another</li>
<li><span class="sql">rotation</span> of the particle, which can occur about any or all of the <span class="sql">x</span>, <span class="sql">y</span> or <span class="sql">z</span> axes</li>
<li><span class="sql">linear deformation</span>, in which the particle’s sides stretch or contract</li>
<li><span class="sql">angular deformation</span>, in which the angles (which were initially 90° for our particle) between the sides change</li>
</ul>
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</div>
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<p class="footnote">
<sup>1</sup>Fox and McDonald's Introduction to Fluid Mechanics, 8th Edition.
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