Volume of Liquid in Horizontal Tank as Function of Liquid Height A cylindrical sealed tank is mounted horizontally. The tank is partially with a liquid to a height h. A sight glass is located on the tank so one of liquid in the tank. The tank is L=10 meters long and its diameter may either 1, 2, 3 or 4 meters. Develop a spreadsheet model that will indicate how the volume (V Cubic Meters) of liquid in the tank will vary Tabulate Tank Volume vs h/D (0<=h/D<=1.0) Also plot Tank Volume What is System Sight Glass h L What is Concept? Use solid geometry concepts to find volume of liquid Can look up models in literature or Internet or develop from app What is Mathematical Model If height of liquid = h Area=Cross Sectional Area (viewed from tank end) of tank filled R=Tank Radius; Liquid Volume = L*Area D=2*R=Inside Diameter of Tank Total Volume Inside Tank= What is Computational Analysis Method? Develop & use the spreadsheet below & apply it to f R(Meters) L(Meters) 0.5 10 Total Inside Tank Volume 7.854E+00 h/D Area Volume 0 1.571 0.000 0.000 0.1 0.927 0.041 0.409 0.2 0.644 0.112 1.118 0.3 0.412 0.198 1.982 0.4 0.201 0.293 2.934 0.5 0.000 0.393 3.927 0.6 -0.201 0.492 4.920 M 3 M 2 M 3 Area= ( R 2 [ π 2 −( 1− h R ) √ 1−( 1− h R ) 2 − sin −1 ( 1− h R ) ] ) sin −1 ( 1−h / R ) R πR 2 L 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 Volume Liquid d Volume Cubic Meters
Volume Liquid Horizontal Cylindrical Tank Spreadsheet
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Sheet1Volume of Liquid in Horizontal Tank as Function of Liquid
HeightA cylindrical sealed tank is mounted horizontally. The tank
is partially filledwith a liquid to a height h. A sight glass is
located on the tank so one can observe the heightof liquid in the
tank. The tank is L=10 meters long and its diameter may beeither 1,
2, 3 or 4 meters. Develop a spreadsheet model that willindicate how
the volume (V Cubic Meters) of liquid in the tank will vary with
the height (h) of liquid in the sight glass.Tabulate Tank Volume vs
h/D (0
