<h2>Summary</h2>
<ul>
<li>Bernoulli’s equation states that the sum on each side of the following equation is constant, or the same at any two points in an incompressible frictionless fluid:

<p>\({P}_{1}+\cfrac{1}{2}{\mathrm{\rho v}}_{1}^{2}+\rho {\mathrm{gh}}_{1}={P}_{2}+\cfrac{1}{2}{\mathrm{\rho v}}_{2}^{2}+\rho {\text{gh}}_{2}.\)</p>
</li>
<li>Bernoulli’s principle is Bernoulli’s equation applied to situations in which depth is constant. The terms involving depth (or height <em>h</em> ) subtract out, yielding

<p>\({P}_{1}+\cfrac{1}{2}{\mathrm{\rho v}}_{1}^{2}={P}_{2}+\cfrac{1}{2}{\mathrm{\rho v}}_{2}^{2}.\)</p>
</li>
<li>Bernoulli’s principle has many applications, including entrainment, wings and sails, and velocity measurement.</li>
</ul>
<h2>Glossary</h2>
<h3>Bernoulli’s equation</h3>
<p>the equation resulting from applying conservation of energy to an incompressible frictionless fluid: <em>P</em> + 1/2<em>pv</em><sup>2</sup> + <em>pgh</em> = constant , through the fluid</p>
<h3>Bernoulli’s principle</h3>
<p>Bernoulli’s equation applied at constant depth: <em>P</em><sub>1</sub> + 1/2<em>pv</em><sub>1</sub><sup>2</sup> = <em>P</em><sub>2</sub> + 1/2<em>pv</em><sub>2</sub><sup>2</sup></p>

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Summarizing Bernoulli’s Equation

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