1999
DOI: 10.1016/s0017-9310(99)00002-2
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Numerical investigation of solidification processes of cylindrical ingots in a metal mould at variable technological circumstances

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Cited by 10 publications
(4 citation statements)
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“…For instance in [4], the problem of describing the thermomechanical behavior of polymer materials in conditions of relaxation conversions is considered in detail. It should be noted that modeling the constitutive relations for describing the crystallization process with the relaxation conversions has wide practical application: in mechanical engineering industry [5], aircraft industry [6], metallurgy [7,8], microstructure [9] of materials and etc. It is possible to conclude that to obtain and to verify the constitutive relations for the crystallization process with a relaxation conversion are the basis of the solution of the problem of this type and a very laborconsuming process.…”
Section: Introductionmentioning
confidence: 99%
“…For instance in [4], the problem of describing the thermomechanical behavior of polymer materials in conditions of relaxation conversions is considered in detail. It should be noted that modeling the constitutive relations for describing the crystallization process with the relaxation conversions has wide practical application: in mechanical engineering industry [5], aircraft industry [6], metallurgy [7,8], microstructure [9] of materials and etc. It is possible to conclude that to obtain and to verify the constitutive relations for the crystallization process with a relaxation conversion are the basis of the solution of the problem of this type and a very laborconsuming process.…”
Section: Introductionmentioning
confidence: 99%
“…Bilir and Ilkenstudy [9] used the enthalpy method with a control volume approach to analyze the inward solidification of a liquid encapsulated in a cylindrical container in presence of melt superheat. Most of the works reported in the literature are based on theoretical approaches [10][11] and only few of them integrate numerical simulations and experimental data [12].…”
Section: Introductionmentioning
confidence: 99%
“…No lingotamento contínuo horizontal de geometrias cilíndricas, além da necessidade do controle do processo de solidificação para a formação de uma casca no molde suficientemente espessa para suportar as tensões de extração do lingote [Brimacombe et al, 1984a] No que se refere aos estudos em geometrias não planas, objetivo desse trabalho, o sistema de coordenadas cilíndricas é empregado em estudos numéricos da simulação da solidificação de lingotes cilíndricos ou em esferas [Riley et al, 1974;Chernogorova, 1999;Zal'tsman, 1996;Majchrzak, 2000;Bilir, 2005]. A Figura 1.4 apresenta um esquema dos tipos de superfície de troca térmica que podem ser encontrados na solidificação radial em sistemas cilíndricos, onde uma superfície côncava gera um tubo solidificado de dentro para fora e uma superfície convexa forma um cilindro maciço, solidificado de fora para dentro.…”
Section: Considerações Iniciaisunclassified
“…Os métodos numéricos atualmente mais utilizados e amplamente estudados são os métodos de diferenças finitas (MDF) [Chernogorova, 1999; e os métodos dos elementos finitos (MEF) [Reddy, 1993;Sha, 2011] para o desenvolvimento de modelos relacionados aos fenômenos de transferência de calor na solidificação. No entanto, o equacionamento do MEF é bem mais complexo que o MDF, sendo este último mais simples e direto [Spim, 2001].…”
Section: Considerações Iniciaisunclassified