Exact volume calculation inside tilted cylindrical container as a function of the fill level

Exact volume calculation inside tilted cylindrical container as a function of the fill level

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...

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Autores principales: Salas-Flores, Michelle Guadalupe, Gasca-Figueroa, David, García-Rodríguez, Francisco Javier, Ramos-Beltrán, José Alfredo, Macias-Aboytes, Jorge, Tula-Maldonado, Jafet Gassen
Formato: Online
Lenguaje:spa
Publicado: Universidad Autónoma de Baja California 2024
Acceso en línea:https://recit.uabc.mx/index.php/revista/article/view/349
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id recit-article-349
record_format ojs
institution RECIT
collection OJS
language spa
format Online
author Salas-Flores, Michelle Guadalupe
Gasca-Figueroa, David
García-Rodríguez, Francisco Javier
Ramos-Beltrán, José Alfredo
Macias-Aboytes, Jorge
Tula-Maldonado, Jafet Gassen
spellingShingle Salas-Flores, Michelle Guadalupe
Gasca-Figueroa, David
García-Rodríguez, Francisco Javier
Ramos-Beltrán, José Alfredo
Macias-Aboytes, Jorge
Tula-Maldonado, Jafet Gassen
Exact volume calculation inside tilted cylindrical container as a function of the fill level
author_facet Salas-Flores, Michelle Guadalupe
Gasca-Figueroa, David
García-Rodríguez, Francisco Javier
Ramos-Beltrán, José Alfredo
Macias-Aboytes, Jorge
Tula-Maldonado, Jafet Gassen
author_sort Salas-Flores, Michelle Guadalupe
title Exact volume calculation inside tilted cylindrical container as a function of the fill level
title_short Exact volume calculation inside tilted cylindrical container as a function of the fill level
title_full Exact volume calculation inside tilted cylindrical container as a function of the fill level
title_fullStr Exact volume calculation inside tilted cylindrical container as a function of the fill level
title_full_unstemmed Exact volume calculation inside tilted cylindrical container as a function of the fill level
title_sort exact volume calculation inside tilted cylindrical container as a function of the fill level
description 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.
publisher Universidad Autónoma de Baja California
publishDate 2024
url https://recit.uabc.mx/index.php/revista/article/view/349
_version_ 1808123087087992832
spelling recit-article-3492024-06-05T17:08:02Z Exact volume calculation inside tilted cylindrical container as a function of the fill level Cálculo exacto del volumen dentro de recipientes cilíndricos inclinados en función del nivel de llenado Salas-Flores, Michelle Guadalupe Gasca-Figueroa, David García-Rodríguez, Francisco Javier Ramos-Beltrán, José Alfredo Macias-Aboytes, Jorge Tula-Maldonado, Jafet Gassen Cylindrical recipe Fill level Exact Volume Tilt container First wet height Second wet height Recipiente cilíndrico Nivel de llenado Volumen exacto Recipiente inclinado Primera altura mojada Segunda altura mojada 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. En el presente trabajo se obtienen expresiones matemáticas para determinar el volumen contenido dentro de un recipiente (contenedor) cilíndrico inclinado en función del nivel de llenado. La inclinación del recipiente está dada por el ángulo entre la horizontal y el eje de simetría del cilindro. Las formulaciones se obtienen para los tres casos posibles: i) el nivel de llenado está comprendido entre el punto más bajo del contenedor y el plano horizontal existente en la primera altura mojada, ii) el nivel de llenado comprendido entre los planos horizontales situados a la primera y segunda altura mojadas y iii) iniciando en el plano horizontal situado en la segunda altura mojada y terminando con el llenado completo del contenedor. Las expresiones obtenidas proporcionan el cálculo del volumen exacto en función de los parámetros conocidos radio, altura e inclinación del recipiente y del parámetro variable dado por la altura de llenado del recipiente. Finalmente, estas expresiones son aplicadas usando dimensiones regulares y críticas del recipiente en el transporte de sustancias, se observa un comportamiento similar al de una función sinusoidal en la gráfica de volumen vs altura de llenado. Los resultados obtenidos conducen a mejores prácticas en el diseño de contenedores cilíndricos para el transporte de sustancias y la implementación de protocolos de seguridad. Universidad Autónoma de Baja California 2024-05-25 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html application/zip https://recit.uabc.mx/index.php/revista/article/view/349 10.37636/recit.v7n2e349 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 7 No. 2 (2024): April-June; e349 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 7 Núm. 2 (2024): Abril-Junio; e349 2594-1925 spa https://recit.uabc.mx/index.php/revista/article/view/349/561 https://recit.uabc.mx/index.php/revista/article/view/349/562 https://recit.uabc.mx/index.php/revista/article/view/349/563 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 https://creativecommons.org/licenses/by/4.0

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