An exact solution to a Stefan problem with variable thermal conductivity and a Robin boundary condition
In this article it is proved the existence of similarity solutions for a one-phase Stefan problem with temperature-dependent thermal conductivity and a Robin condition at the fixed face. The temperature distribution is obtained through a generalized modified error function which is defined as the so...
Guardado en:
| Autores principales: | , , |
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| Formato: | Articulo article acceptedVersion |
| Lenguaje: | Inglés |
| Publicado: |
Elsevier
2018
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| Materias: | |
| Acceso en línea: | http://rdi.uncoma.edu.ar/handle/uncomaid/17283 |
| Aporte de: |
| Sumario: | In this article it is proved the existence of similarity solutions for a one-phase Stefan problem with temperature-dependent thermal conductivity and a Robin condition at the fixed face. The temperature distribution is obtained through a generalized modified error function which is defined as the solution to a nonlinear ordinary differential problem of second order. It is proved that the latter has a unique nonnegative bounded analytic solution when the parameter on which it depends assumes
small positive values. Moreover, it is shown that the generalized modified error function is concave and increasing, and explicit approximations are proposed for it. Relation between the Stefan problem considered in this article with those with either constant thermal conductivity or a temperature boundary condition is also
analysed. |
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