Change of liquid level in a cylinder tank?
Hi all!
How does one measure the change of height (level) of liquids in a cylinder tank tipped to the side?
Explanation:
If one knows the rate of change of liquid (Volume) as well as height and radius, one can measure the rate of change of height of liquid in that tank, utilizing the formula of the volume “pr^2h” and derivative against height (“Rate of change of volume” divided by “pr^2″).
But when the tank itself lies to the side as follows: ()_____() – how does one measure the level here?
If the change of volume is, say, 0,05 m^3 / hour
height of liquid is 0,4 m
radius is 2 m
and height of tank is 6 m
-> How fast does the level liquid rise in the tank itself (tank as shown tipped to the side)?
Very grateful for your answers!
Use the following:
Formula to compute volume of liquid in horizontal cylindrical tank
D = tank diameter, L = tank length
d = depth of liquid (from bottom of tank), v = volume of liquid
Let s = 1 – (2*d/D)
Then v = L * (D/2)^2 * (acos(s)-(s*sqrt(1-s^2)))
Note: The acos function should be taken in radians, not degrees.
Also see the following website:
http://www.hagra.nl/glossary/convertors/horizontal-tank-volume-calculator.html
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