PARTIAL VOLUMES OF TANKS

INPUT   DATA ♥ EXAMPLE Of Input/Output

Title  

Tank diameter   Length 

    

Tank length  Length
Liquid depth   Length

     Reset

OUTPUT   VARIABLES   &   GRAPHS

Partial Tank Volumes   Values   Units
 ♦  Tank with Flat heads   Length3  Graphs:
 Partial Volume Vs Depth  
 ♦  Tank with Dished heads   Length3 
 ♦  Tank with Elliptical heads   Length3 
 ♦  Tank with Hemispherical heads  Length3 
THEORY  &   FORMULAE

Horizontal Cylinderical Tanks

Tanks are used for the storage fluids in many chemical process industries. For a horizontal cylinderical tank, the two ends (heads) of the vessels is usually both flat, dished, elliptical or hemispherical. It is commonly required to estimate the quantity of fluid in a tank when it is partly filled with fluid, and only fluid level is known. This partial volume is made up of the volume in the cylinderical shell plus the volumes in the two heads. The partial volumes can be estimated by the equations below:

Partial volume of horizontal cylinder:
    = {r2cos-1[(r - h)/r] - (r - h)(2rh - h2)0.5}L
Partial volume of dished heads:
    = 0.215483*h2(1.5d - h)
Partial volume of elliptical heads:
    = 0.5236*h2(1.5d - h)
Partial volume of hemispherical heads:
    = 1.0472*h2(1.5d - h)

where
     L = side length of the cylinder shell
     d = internal diameter of the cylinder
     r = radius of the cylinder = d/2
     h = height of liquid in the cylinder

All volume equations give fluid volumes in cubic units from tank dimensions in consistent linear units.

Tips

    ◊ Use link EXAMPLE Of Input/Output  to demo data entry expectations and results; you may edit & use it as starting point

BIBLIOGRAPHY