Formulas with online calculator for vertical cylindrical tank volume and its partitioned section volume.
The sugar industry or other industries use vertically mounted cylindrical tanks for sealing of vacuum equipment like vacuum condensers and multiple effect evaporator lost body liquid extraction (outlet). Sometimes it is also called mound.
In this cylindrical tank sometimes the inside of the tank might be separated by a vertical plate for easy operation purposes. While providing the partition in this single tank we can use both purposes sealing as well as extraction (withdrawal).
If we use the single mound for sealing and extraction purposes then we must find the volume of the sealing portion to maintain the vacuum in the system.
The partition plate was provided in the exact center of the tank so it was easy to find the volume by the formula ( π r2h / 2). But if the partition plate has more or less than the center portion then we can calculate volume by the following formulas.
Data required for calculation :
Dia of the Cylinder tank = D (mtrs)
Vertical height of the cylindrical tank = H mtrs ( Height should be taken up to overflow level of the partitioned plate for sealing mounds)
Perpendicular length from inside partition plate to tank edge = L in mtrs
Formulas for calculations:
In this calculation, the first part is to find the bottom area of the partitioned portion of the tank.
i.e. bottom of the tank has a circular shape so we should find the segment of the circle area and then its area to be multiplied by the height of the tank.
The radius of tank (cylinder) = r = D/2
Here to be check radius of the tank is less than or greater than of the L (Perpendicular length from inside partition plate to tank edge).
If the L > r then take the value ( D – L ) to be considered instead of the L valve.
Angle = θ = 2 cos -1 ((r – L )/ r )
Chord length of the circle = = c = 2 √ h (2r – L )
Arc Length of the circle segment = l = 0.01745 x r x θ
Area of the segment = As = 1/2 (rl – c( r – L))
Circle area except segment = Ar = π r 2 – As
Volume of the liquid in the thank = A x H ( Here L < r then take A = As and for L > r then take A = Ac )
Online Calculator for finding the liquid volume in a cylindrical tank
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