One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
We study a one-phase Stefan problem for a semi-in nite material with temperature-dependent thermal conductivity with a boundary condition of Robin type at the xed face x = 0. We obtain su cient conditions for data in order to have a parametric representation of the solution of similarity type for t...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2015 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/13393 |
| Online Access: | http://hdl.handle.net/11336/13393 |
| Access Level: | Open access |
| Keyword: | Stefan Problem Free Boundary Problem Phase-Change Process Nonlinear Thermal Conductivity Similarity Solution https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | We study a one-phase Stefan problem for a semi-in nite material with temperature-dependent thermal conductivity with a boundary condition of Robin type at the xed face x = 0. We obtain su cient conditions for data in order to have a parametric representation of the solution of similarity type for t ≥ t0 > 0 with t0 an arbitrary positive time. This explicit solution is obtained through the unique solution of an integral equation with the time as a parameter. |
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