Exact volume calculation inside tilted cylindrical container as a function of the fill level
DOI:
https://doi.org/10.37636/recit.v7n2e349Keywords:
Cylindrical recipe, Fill level, Exact Volume, Tilt container, First wet height, Second wet heightAbstract
In the present work math expressions to determine the exact volume inside a tilted cylindrical recipe (container) as a function of the fill level were obtained. The tilt container is given by the angle between the horizontal and the axis symmetry of the cylinder. Formulations are developed for three cases: i) the limits of the filled level are between the lowest point in the container and the corresponding level where a horizontal plane reaches the first wet height, ii) the filled level is given by the liquid height limited by the horizontal planes corresponding to the first and second wet heights, respectively; iii) the filled level starts at the horizontal plane corresponding to the second wet height and ending with the fill full of the container. The math expressions give the exact volume inside the container as a function of the known parameters of radius, length, and tilt of the cylinder, and the variable parameter represented by the filled level. Finally, these expressions are applied using critical and regular dimensions of the recipe in the substance’s transportation, the graph volume vs filled level shows a behavior like a sinusoidal function. The results obtained lead to best practices in the design of cylindrical containers for the transport of substances and the implementation of security protocols.
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Copyright (c) 2024 Michelle Guadalupe Salas-Flores, David Gasca-Figueroa, Francisco Javier García-Rodríguez, José Alfredo Ramos-Beltrán, Jorge Macias-Aboytes, Jafet Gassen Tula-Maldonado
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