| Revista: | Computational & applied mathematics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000272544 |
| ISSN: | 1807-0302 |
| Autores: | Goyeau, B1 Bousquet-Melou, P Gobin, D Quintard, M2 Fichot, F3 |
| Instituciones: | 1Universite de Paris VI (Pierre et Marie Curie), Laboratoire FAST, París. Francia 2Institut de Mecanique des Fluides, Toulouse, Haute-Garonne. Francia 3Institut de Radioprotection et de Surete Nucleaire, Saint-Paul-les-Durance, Aix-en-Provence. Francia |
| Año: | 2004 |
| Volumen: | 23 |
| Número: | 2-3 |
| Paginación: | 381-400 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Aplicado, descriptivo |
| Resumen en inglés | This paper deals with the derivation of a macroscopic model for columnar dendritic solidification of binary mixtures using the volume averaging method with closure. The main originalities of the model are first related to the explicit description of evolving heterogeneities of the dendritic structures and their consequences on the derivation of averaged conservation equations, where additional terms involving porosity gradients are present, and on the determination of effective transport properties. These average properties are defined by the associated closure problems taking into account the geometry of the dendrites and the local intensity of the flow. The macroscopic solute transport is obtained by considering macroscale non-equilibrium giving rise to macroscopic dispersion and interfacial exchange phenomena. Mass exchange coefficients are accurately explicited as a function of the local geometry |
| Disciplinas: | Ingeniería, Matemáticas |
| Palabras clave: | Ingeniería de materiales, Matemáticas aplicadas, Solidificación columnar, Modelos macroscópicos, Promedio volumétrico, Problemas de cerradura |
| Keyword: | Engineering, Mathematics, Materials engineering, Applied mathematics, Columnar solidification, Macroscopic models, Volume averaging, Closure problems |
| Texto completo: | Texto completo (Ver HTML) |
