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Vertical Vessel Volume Calculation


Vertical vessel volume calculations are based on calculations for areas of segments of circles, for the cylinderical section, and the volume of spherical segments for the heads. Partially filled torospherical heads are assumed to have the same fractional fill volume to total volume ratio as has an equivalent elliptical head at the same relative liquid height.


Liquid levels are relative to the bottom tangent line. Negative levels indicate that the cylinderical portion of the vessel contains no liquid. The liquid is in the bottom of the head. The program will calculate volume of a partially filled head. Likewise, liquid levels greater than the tangent to tangent length indicate that liquid is into the top head.


Liquid levels below the bottom center of the bottom head will be calculated as 0% liquid volume. Liquid levels above the top center of the top head will be calculated as 100% liquid volume (vessel is hydraulic). The limits are as follows:

  • 2:1 elliptical heads : 25% of vessel diameter
  • torospherical heads : 15.45% of vessel diameter
  • hemispherical heads : 50% of vessel diameter
  • flat heads : 0% of vessel diameter
  • cone : - cone length (negative because cone is only for bottom of vessel)


    References:

  • William Beyer, CRC Mathematical Tables 26th Ed. (Boca Raton, Florida: CRC Press, 1981), p. 123 and 128.
  • Bruce Curran, Perry's Chemical Engineer's Handbook 6th Ed. (New York, New York: McGraw-Hill Book Co., 1984), p. 6-108.
  • Arthur Hoerl, et. al., Perry's Chemical Engineer's Handbook 6th Ed. (New York, New York: McGraw-Hill Book Co., 1984), p. 2-11 - 2-12.



    Vertical Vessel Volume Calculation
    Copyrighted 2001, 2003
    Last updated 04May03