On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat
Explicit solutions of similarity-type are obtained for a model conduction heat transfer with phase change into a semi-infinite slab, where the thermal conductivities and specific heats of both phases are a linear function of the temperature. The lower and upper bounds for the solutions of this model...
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| Format: | Article |
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Elsevier
2020-12-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379720320751 |
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doaj-e0f21bc03bd2491dac40f33fdae9d8982020-12-25T05:09:10ZengElsevierResults in Physics2211-37972020-12-0119103646On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heatLazhar Bougoffa0Ammar Khanfer1Imam Mohammad Ibn Saud Islamic University, Faculty of Science, Department of Mathematics, P.O. Box 90950, Riyadh 11623, Saudi Arabia; Corresponding author.Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi ArabiaExplicit solutions of similarity-type are obtained for a model conduction heat transfer with phase change into a semi-infinite slab, where the thermal conductivities and specific heats of both phases are a linear function of the temperature. The lower and upper bounds for the solutions of this model are also obtained.http://www.sciencedirect.com/science/article/pii/S2211379720320751Boundary value problemPhase change problemExplicit solutionLower and upper boundsExistence and uniqueness of the solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lazhar Bougoffa Ammar Khanfer |
| spellingShingle |
Lazhar Bougoffa Ammar Khanfer On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat Results in Physics Boundary value problem Phase change problem Explicit solution Lower and upper bounds Existence and uniqueness of the solution |
| author_facet |
Lazhar Bougoffa Ammar Khanfer |
| author_sort |
Lazhar Bougoffa |
| title |
On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat |
| title_short |
On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat |
| title_full |
On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat |
| title_fullStr |
On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat |
| title_full_unstemmed |
On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat |
| title_sort |
on the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat |
| publisher |
Elsevier |
| series |
Results in Physics |
| issn |
2211-3797 |
| publishDate |
2020-12-01 |
| description |
Explicit solutions of similarity-type are obtained for a model conduction heat transfer with phase change into a semi-infinite slab, where the thermal conductivities and specific heats of both phases are a linear function of the temperature. The lower and upper bounds for the solutions of this model are also obtained. |
| topic |
Boundary value problem Phase change problem Explicit solution Lower and upper bounds Existence and uniqueness of the solution |
| url |
http://www.sciencedirect.com/science/article/pii/S2211379720320751 |
| work_keys_str_mv |
AT lazharbougoffa onthesolutionsofaphasechangeproblemwithtemperaturedependentthermalconductivityandspecificheat AT ammarkhanfer onthesolutionsofaphasechangeproblemwithtemperaturedependentthermalconductivityandspecificheat |
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