PetroStreet

Guys, can any one guide thru some empirical relations between liquid level and volume in horizontal vessels, for hemispherical, elliptical and flat heads.

We have liquid propane spherical storage vessels and we use following empirical relation;
V = 3.1415 x ((R/2 x H^2) - ((H^3)/3)))
where
R = Radius in ft
H = Liquid level in ft
V = Liquid volume in ft^3

Hope this may help you in finding the relation for horizontal vessel

For volume calculation of all types of shapes please refer to

http://forums.thepetrostreet.com/viewto ... f=10&t=414

Attached is a very handy software tool for volume calculation of horizontal cylindrical vessels. It is a portable application, that can be used without the need for installation procedure.

Excellent one.
Thanks Waseem.

Consider a circle of radius a (the end of the tank) and imagine that the liquid has reached height h, measured from the lowest point on the circle. Note that 0 <= h <= 2a. The area A of the segment of the circle covered by the liquid is

A = pi*a^2/2 - a^2*arcsin(1-h/a) - (a-h)*sqrt(h(2a-h))
V(liquid) with flat ends= A*L (where L is the horizontal length)
For Elliptical heads (2:1 S.E) correction V= A*L + pi*h^2*(1.5D-h)/12
For Hemi sphere heads V = A*L+pi*h^2*(1.5D-h)/6

thanks imran, but there seems some issue when i tried to apply above equation in excel. Can you share any excel sheet with such equation working?