Freezing time of an infinite cylinder and sphere using the method of lines

An energy balance model has been developed to simulate freezing processes for infinite cylinders and spheres. The mathematical model (1) was numerically solved using the method of lines. In this method, spatial derivatives are discretized by the finite difference method and the resulting system of...

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Principais autores:	Souza, Domingos Fabiano de Santana, Ferreira, Sebastião Ribeiro, Rojas, Leopoldo Oswaldo Alcázar, Oliveira, Jackson Araújo de
Formato:	article
Idioma:	English
Publicado em:	Elsevier
Assuntos:	Freezing model Freezing time Method of lines Numerical method
Endereço do item:	https://repositorio.ufrn.br/handle/123456789/45195
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spelling	ri-123456789-451952023-02-08T19:33:49Z Freezing time of an infinite cylinder and sphere using the method of lines Souza, Domingos Fabiano de Santana Ferreira, Sebastião Ribeiro Rojas, Leopoldo Oswaldo Alcázar Oliveira, Jackson Araújo de Freezing model Freezing time Method of lines Numerical method An energy balance model has been developed to simulate freezing processes for infinite cylinders and spheres. The mathematical model (1) was numerically solved using the method of lines. In this method, spatial derivatives are discretized by the finite difference method and the resulting system of ordinary differential equations in time is integrated using an appropriate solver. Freezing times obtained with the proposed model were compared to experimental data and results calculated by different published methods. The freezing times predicted by the proposed model agreed well with the published experimental results and predictions by other published methods. Model (1) gives a percentage error in the range −4.61 ≤ E (%) ≤ 6.81, which includes the experimental data for the 123 spheres analyzed and 30 infinite cylinders, within range −2.96 ≤ E (%) ≤ 3.34 2021-12-06T18:31:02Z 2021-12-06T18:31:02Z 2016-08 article FERREIRA, Sebastião Ribeiro; ROJAS, Leopoldo Oswaldo Alcázar; SOUZA, Domingos Fabiano de Santana; OLIVEIRA, Jackson Araújo de. Freezing time of an infinite cylinder and sphere using the method of lines. International Journal Of Refrigeration, [S.L.], v. 68, p. 37-49, ago. 2016. Elsevier BV. http://dx.doi.org/10.1016/j.ijrefrig.2016.01.021. Disponível em: https://www.sciencedirect.com/science/article/pii/S014070071600027X?via%3Dihub. Aceso em: 05 nov. 2021. 0140-7007 https://repositorio.ufrn.br/handle/123456789/45195 10.1016/j.ijrefrig.2016.01.021. en Elsevier
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Freezing model Freezing time Method of lines Numerical method
spellingShingle	Freezing model Freezing time Method of lines Numerical method Souza, Domingos Fabiano de Santana Ferreira, Sebastião Ribeiro Rojas, Leopoldo Oswaldo Alcázar Oliveira, Jackson Araújo de Freezing time of an infinite cylinder and sphere using the method of lines
description	An energy balance model has been developed to simulate freezing processes for infinite cylinders and spheres. The mathematical model (1) was numerically solved using the method of lines. In this method, spatial derivatives are discretized by the finite difference method and the resulting system of ordinary differential equations in time is integrated using an appropriate solver. Freezing times obtained with the proposed model were compared to experimental data and results calculated by different published methods. The freezing times predicted by the proposed model agreed well with the published experimental results and predictions by other published methods. Model (1) gives a percentage error in the range −4.61 ≤ E (%) ≤ 6.81, which includes the experimental data for the 123 spheres analyzed and 30 infinite cylinders, within range −2.96 ≤ E (%) ≤ 3.34
format	article
author	Souza, Domingos Fabiano de Santana Ferreira, Sebastião Ribeiro Rojas, Leopoldo Oswaldo Alcázar Oliveira, Jackson Araújo de
author_facet	Souza, Domingos Fabiano de Santana Ferreira, Sebastião Ribeiro Rojas, Leopoldo Oswaldo Alcázar Oliveira, Jackson Araújo de
author_sort	Souza, Domingos Fabiano de Santana
title	Freezing time of an infinite cylinder and sphere using the method of lines
title_short	Freezing time of an infinite cylinder and sphere using the method of lines
title_full	Freezing time of an infinite cylinder and sphere using the method of lines
title_fullStr	Freezing time of an infinite cylinder and sphere using the method of lines
title_full_unstemmed	Freezing time of an infinite cylinder and sphere using the method of lines
title_sort	freezing time of an infinite cylinder and sphere using the method of lines
publisher	Elsevier
publishDate	2021
url	https://repositorio.ufrn.br/handle/123456789/45195
work_keys_str_mv	AT souzadomingosfabianodesantana freezingtimeofaninfinitecylinderandsphereusingthemethodoflines AT ferreirasebastiaoribeiro freezingtimeofaninfinitecylinderandsphereusingthemethodoflines AT rojasleopoldooswaldoalcazar freezingtimeofaninfinitecylinderandsphereusingthemethodoflines AT oliveirajacksonaraujode freezingtimeofaninfinitecylinderandsphereusingthemethodoflines
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Freezing time of an infinite cylinder and sphere using the method of lines

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