I'm trying to design a rotameter, a flowmeter consisting of a float in a tube of increasing area (like a cone). I know the equations equating drag with gravity, but I'm more interested in the equation of the float's velocity over time, just as steady state flow begins (so x(0)=0)(adsbygoogle = window.adsbygoogle || []).push({});

Because the velocity of fluid is changing at different points in the meter, I don't exactly know how to set up a force balance equation, if that's even what I need to do. I would guess velocity would be in terms of both position and time, but I'm not certain.

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# Calculating the equation for a float in a rotameter

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