Aplicação do método da integral dupla em um problema de solidificação em geometria esférica
Nenhuma Miniatura disponível
Data
2021-11-04
Autores
Canzian, Estefânia Pintor
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal do Espírito Santo
Resumo
The solution of heat transfer problems involving solidification is important in several applications in engineering, such as: growth of pure crystals, purification of several materials, more efficient thermal storage systems, development of improved methods for the solidification of metals and alloys in casting processes, among other applications. In this context, this study aims to apply the double integral method to obtain approximate solutions of spherical solidification problems and to obtain a refinement of the simple integral method solution available in the literature. Thus, both methods were applied to the differential equation that models the solidification phenomenon in spherical geometry using a linear quadratic temperature profile. Initially, the results obtained by the methods with the linear profile were compared with the solution proposed in the literature, and, in all cases analyzed, the double integral method obtained superiority over the simple integral method for the calculating of the solidification time. When comparing the results obtained from the integral methods with numerical data available in the literature, the double integral method with quadratic profile provided superior results compared to the simple integral method with the quadratic profile available in the literature. Furthermore, the double integral method using the quadratic profile presented better performance for the calculation of the solidification time in all analyzed cases, when evaluated with the experimental data present in the literature. Showing that this method is able to provide a better approach to the solution of the physical problem under study.
Descrição
Palavras-chave
Métodos integrais , transferência de calor , solução aproximada