Calculate liquid volumes in tanks with dished heads

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Calculate liquid volumes in tanks with dished heads

Crookston, Daniel R. / Crookston, Reid B.

Tanks with dished heads are widely used in the chemical industry. Sometimes liquid volume calibrations exist, but often the liquid volume must be calculated. Traditional methods often lack precision. The authors present exact equations for the calculation of the total volume of the heads and exact equations for liquid volumes for any liquid depth for any vertical or horizontal tank with dished heads, that are tanks that can be described by two radii of curvature (torispherical heads). Such tank types include ASME flanged &dished heads (F&D), standard F&D heads, shallow F&D heads, 2:1 elliptical heads and spherical heads, horizontal tanks with true elliptical heads of any aspect ratio. The developed Excel spreadsheets derived from the equations produce a lookup table of liquid volumes for a range of liquid depths. Each spreadsheet has a calculator function. The user enters only the tank geometry parameters and the liquid depth, and the spreadsheet shows the liquid volume. Two different spreadsheets are presented, one for vertical tanks and one for horizontal tanks.