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©2009 by L. Lagerstrom
Investigating Fluid Flow
•
For an introduction to the basic concepts, see the
associated video clip
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Torricelli's principle
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Verifying Torricelli
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Some data
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Finding the relationship
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Applying polyfit
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Plotting the results
©2009 by L. Lagerstrom
Toricelli's Principle
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Torricelli's principle of hydraulic resistance (1643) states that
the volume flow rate F of a liquid through a restriction, such as
an opening or a valve, is proportional to the square root of the
pressure drop p across the restriction. Or: F = C*sqrt(P), where
C is a constant.
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In many cases (such as a container of liquid) the pressure drop
is caused by the volume of the liquid (the more liquid, the more
pressure), so that the above equation becomes F = C*sqrt(V),
where V is the volume of liquid and C is a constant.
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Note: To be precise, it's the height of the liquid above the valve
that is key, but assuming that the surface area is constant with
respect to height, we can use volume.
©2009 by L. Lagerstrom
Verifying Torricelli
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In general, the Torricelli equation can be written F = C*V
E
,
where the exponent E is equal to 1/2 if Torricelli is correct.
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 Spring '10
 Lagerstrom
 Fluid Dynamics, Torricelli, L. Lagerstrom

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