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Del prisma al cilindro: estudio del caso límite del vaciado de depósitos mediante ecuaciones diferenciales.

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Title: Del prisma al cilindro: estudio del caso límite del vaciado de depósitos mediante ecuaciones diferenciales.
Alternate Title: From the prism to the cylinder: A study of the limiting case of tank drainage using differential equations.
Authors: Cortés López, Juan-Carlos1 jccortes@mat.upv.es, Kopylov, Nikita1 nikop1@upv.es, Llamazares López, Marcos1 marllalo@upvnet.upv.es, Pérez, Cristina-Luisovna1 cperdiu@upv.edu.es
Source: Modelling in Science Education & Learning. Jul2025, Vol. 18, p63-77. 15p.
Subject Terms: *Computer simulation, Differential equations, Solid modeling (Engineering), Fluid dynamics, Polygons, Steel tanks
Abstract (English): This work aims to complement the article "Engaged in the revolution of solid modeling for tank drainage", which studied the problem of draining tanks generated by the revolution of a curve, in two ways. First, by analyzing a family of prismatic tanks whose base is a regular polygon -a case that cannot be addressed using the techniques applied in the previous contribution-. Second, by demonstrating the consistency of the solution obtained in this article with the one found in the previous work for the case of a cylindrical tank, considered as the limiting case of a tank with a base in form of a regular polygon of 'infinitely many sides.' We also provide open-source code for simulating the draining process in tanks with different regular prismatic shapes, allowing for a highly visual illustration of the theoretical results obtained. [ABSTRACT FROM AUTHOR]
Abstract (Spanish): Este trabajo pretende complementar, en dos sentidos, el artículo "A vueltas con la mode-lización del vaciado de depósitos", donde se estudió el problema del vaciado de depósitos que se generan por la revolución de una curva. Primero, estudiando el caso de una familia de depósitos en forma de prisma cuya base es un polígono regular -el cual no puede tratarse con las técnicas aplicadas en la contribución previa-. En segundo lugar, mostrando la consistencia de la solución obtenida en el presente artículo con la hallada en el trabajo anterior para un depósito cilindrico como caso límite de un depósito de base un polígono regular de "infinitos lados". También proporcionamos código abierto para realizar simulaciones para depósitos en forma de distintos prismas regulares, lo que permite ilustrar de forma muy visual los resultados teóricos obtenidos. [ABSTRACT FROM AUTHOR]
Copyright of Modelling in Science Education & Learning is the property of Universidad Politecnica de Valencia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
FullText Text:
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Header DbId: ehh
DbLabel: Education Research Complete
An: 188620239
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
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  Data: Del prisma al cilindro: estudio del caso límite del vaciado de depósitos mediante ecuaciones diferenciales.
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  Label: Alternate Title
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  Data: From the prism to the cylinder: A study of the limiting case of tank drainage using differential equations.
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  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Cortés+López%2C+Juan-Carlos%22">Cortés López, Juan-Carlos</searchLink><relatesTo>1</relatesTo><i> jccortes@mat.upv.es</i><br /><searchLink fieldCode="AR" term="%22Kopylov%2C+Nikita%22">Kopylov, Nikita</searchLink><relatesTo>1</relatesTo><i> nikop1@upv.es</i><br /><searchLink fieldCode="AR" term="%22Llamazares+López%2C+Marcos%22">Llamazares López, Marcos</searchLink><relatesTo>1</relatesTo><i> marllalo@upvnet.upv.es</i><br /><searchLink fieldCode="AR" term="%22Pérez%2C+Cristina-Luisovna%22">Pérez, Cristina-Luisovna</searchLink><relatesTo>1</relatesTo><i> cperdiu@upv.edu.es</i>
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  Data: <searchLink fieldCode="JN" term="%22Modelling+in+Science+Education+%26+Learning%22">Modelling in Science Education & Learning</searchLink>. Jul2025, Vol. 18, p63-77. 15p.
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  Data: *<searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Solid+modeling+%28Engineering%29%22">Solid modeling (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Polygons%22">Polygons</searchLink><br /><searchLink fieldCode="DE" term="%22Steel+tanks%22">Steel tanks</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: This work aims to complement the article "Engaged in the revolution of solid modeling for tank drainage", which studied the problem of draining tanks generated by the revolution of a curve, in two ways. First, by analyzing a family of prismatic tanks whose base is a regular polygon -a case that cannot be addressed using the techniques applied in the previous contribution-. Second, by demonstrating the consistency of the solution obtained in this article with the one found in the previous work for the case of a cylindrical tank, considered as the limiting case of a tank with a base in form of a regular polygon of 'infinitely many sides.' We also provide open-source code for simulating the draining process in tanks with different regular prismatic shapes, allowing for a highly visual illustration of the theoretical results obtained. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (Spanish)
  Group: Ab
  Data: Este trabajo pretende complementar, en dos sentidos, el artículo "A vueltas con la mode-lización del vaciado de depósitos", donde se estudió el problema del vaciado de depósitos que se generan por la revolución de una curva. Primero, estudiando el caso de una familia de depósitos en forma de prisma cuya base es un polígono regular -el cual no puede tratarse con las técnicas aplicadas en la contribución previa-. En segundo lugar, mostrando la consistencia de la solución obtenida en el presente artículo con la hallada en el trabajo anterior para un depósito cilindrico como caso límite de un depósito de base un polígono regular de "infinitos lados". También proporcionamos código abierto para realizar simulaciones para depósitos en forma de distintos prismas regulares, lo que permite ilustrar de forma muy visual los resultados teóricos obtenidos. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Modelling in Science Education & Learning is the property of Universidad Politecnica de Valencia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=188620239
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.4995/msel.2025.23547
    Languages:
      – Code: spa
        Text: Spanish
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 63
    Subjects:
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Differential equations
        Type: general
      – SubjectFull: Solid modeling (Engineering)
        Type: general
      – SubjectFull: Fluid dynamics
        Type: general
      – SubjectFull: Polygons
        Type: general
      – SubjectFull: Steel tanks
        Type: general
    Titles:
      – TitleFull: Del prisma al cilindro: estudio del caso límite del vaciado de depósitos mediante ecuaciones diferenciales.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Cortés López, Juan-Carlos
      – PersonEntity:
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            NameFull: Kopylov, Nikita
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            NameFull: Llamazares López, Marcos
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            NameFull: Pérez, Cristina-Luisovna
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          Dates:
            – D: 01
              M: 07
              Text: Jul2025
              Type: published
              Y: 2025
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            – Type: issn-print
              Value: 19883145
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              Value: 18
          Titles:
            – TitleFull: Modelling in Science Education & Learning
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