(41) Bulk Cylindrical Tank

[Dieter]

(10-08-2018 09:13 PM)SlideRule Wrote:  An excerpt from Citrus Processing, Quality Control and Technology, TANK MEASUREMENT by Dan Kimball with a complete & thorough description for the attendant HP 41 calculator program: enjoy!

Thank you. But I wonder why you posted this in the General Software Library instead of the dedicated HP41 Software Section. ?!

Having read the PDF now, may I ask two questions?

The author distinguishes two cases if the liquid level is within the slanted bottom part of the tank: the measured level h may be less or greater than half of the height h₀ of the slanted part. So there are two formular 25-5 and 25-7. But as far as I can see they are equivalent since arcsin(x) = –arcsin(–x). At least if the arcsin function returns the principal value within ±pi/2, as usual. I just did a (metric) HP67 version of the program and it only requires one formula.

The author also says that the radius R of the dome top has to be determined graphically or by measurement. Please correct me if I'm wrong, but I'd say that R can be easily calculated from the height of the dome top (v₀ in the PDF) and the tank radius r. What do you think?

Dieter