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Venturi effect
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===Flow rate=== A Venturi can be used to measure the [[volumetric flow rate]], <math>\scriptstyle Q</math>, using [[Bernoulli's principle]]. Since <math display="block">\begin{align} Q &= v_1 A_1 = v_2 A_2 \\[3pt] p_1 - p_2 &= \frac{\rho}{2}\left(v_2^2 - v_1^2\right) \end{align}</math> then <math display="block"> Q = A_1 \sqrt{\frac{2}{\rho} \cdot \frac{p_1 - p_2}{\left(\frac{A_1}{A_2}\right)^2 - 1}} = A_2 \sqrt{\frac{2}{\rho} \cdot \frac{p_1 - p_2}{1 - \left(\frac{A_2}{A_1}\right)^2}} </math> <!-- The equation for flow needs a term for time which is not accounted for as it is written. --> <!-- The explanation of how to mix fluids needs help; specifically the system used. --> A Venturi can also be used to mix a liquid with a gas. If a pump forces the liquid through a tube connected to a system consisting of a Venturi to increase the liquid speed (the diameter decreases), a short piece of tube with a small hole in it, and last a Venturi that decreases speed (so the pipe gets wider again), the gas will be sucked in through the small hole because of changes in pressure. At the end of the system, a mixture of liquid and gas will appear. See [[Aspirator (pump)|aspirator]] and [[pressure head]] for discussion of this type of [[siphon]].
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