Cylindrical Horizontal Tank with Hemi-Ellipsoidal Ends

For the Cylindrical Horizontal Tank with Hemi-Ellipsoidal Ends, the gauge reading is converted to the total observed volume using the following equation.

Where:

R = Tank radius, length units

H = Gauge reading, same length units as R

L = Tangent-to-tangent length, same length units as R

V1 = Total observed volume of the main cylinder for gauge reading

Ve = Total observed volume of hemi-ellipsoidal head for gauge reading

V = Total observed tank volume at gauge reading

A = Length of major axis, same units as R

B = Length of minor axis, same units as R

D = Length from tangent to end of the head, same units as R

EXAMPLE: Cylindrical Horizontal Tank with Hemi-Ellipsoidal Ends

The cylinder tank with hemi-ellipsoidal ends has the dimensions of 7ft in diameter and a tangent-to-tangent length of 20ft, with major and minor axis lengths of 7ft and 7ft respectively and a depth of 3ft. What is the total observed liquid volume for a gauge of 4ft 3in?

Ve = 50.665 ft3

V1 = 489.37 ft3

V\= 489.37 + 2 x 50.665 = 590.70 ft3 = 105.15

See Configuring - Cylindrical Horizontal Tank with Hemi-Ellipsoidal Ends for details on how to configure this tank type.