Similarity solutions for thawing processes with a heat flux condition at the fixed boundary
Similarity solutions for a mathematical model for thawing in a saturated semi-infinite porous medium is considered when change of phase induces a density jump and a heat flux condition of the type -q0t-(1/2) is imposed on the fixed face x = 0. Different cases depending on physical parameters are ana...
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00256455_v36_n3_p251_Lombardi http://hdl.handle.net/20.500.12110/paper_00256455_v36_n3_p251_Lombardi |
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paper:paper_00256455_v36_n3_p251_Lombardi2023-06-08T14:53:25Z Similarity solutions for thawing processes with a heat flux condition at the fixed boundary Lombardi, Ariel L. Density jump Free boundary problems Freezing Phase change process Similarity solution Solidification Stefan problem Thawing processes Boundary value problems Density (specific gravity) Freezing Heat flux Mathematical models Porous materials Solidification Thermal coefficient Thawing Similarity solutions for a mathematical model for thawing in a saturated semi-infinite porous medium is considered when change of phase induces a density jump and a heat flux condition of the type -q0t-(1/2) is imposed on the fixed face x = 0. Different cases depending on physical parameters are analysed and the explicit solution is obtained if and only if an inequality for the thermal coefficient q0 is verified. An improvement for the existence of a similarity solution for the same free boundary problem with a constant temperature on the fixed face x = 0 is also obtained. Fil:Lombardi, A.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00256455_v36_n3_p251_Lombardi http://hdl.handle.net/20.500.12110/paper_00256455_v36_n3_p251_Lombardi |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Density jump Free boundary problems Freezing Phase change process Similarity solution Solidification Stefan problem Thawing processes Boundary value problems Density (specific gravity) Freezing Heat flux Mathematical models Porous materials Solidification Thermal coefficient Thawing |
spellingShingle |
Density jump Free boundary problems Freezing Phase change process Similarity solution Solidification Stefan problem Thawing processes Boundary value problems Density (specific gravity) Freezing Heat flux Mathematical models Porous materials Solidification Thermal coefficient Thawing Lombardi, Ariel L. Similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
topic_facet |
Density jump Free boundary problems Freezing Phase change process Similarity solution Solidification Stefan problem Thawing processes Boundary value problems Density (specific gravity) Freezing Heat flux Mathematical models Porous materials Solidification Thermal coefficient Thawing |
description |
Similarity solutions for a mathematical model for thawing in a saturated semi-infinite porous medium is considered when change of phase induces a density jump and a heat flux condition of the type -q0t-(1/2) is imposed on the fixed face x = 0. Different cases depending on physical parameters are analysed and the explicit solution is obtained if and only if an inequality for the thermal coefficient q0 is verified. An improvement for the existence of a similarity solution for the same free boundary problem with a constant temperature on the fixed face x = 0 is also obtained. |
author |
Lombardi, Ariel L. |
author_facet |
Lombardi, Ariel L. |
author_sort |
Lombardi, Ariel L. |
title |
Similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
title_short |
Similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
title_full |
Similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
title_fullStr |
Similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
title_full_unstemmed |
Similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
title_sort |
similarity solutions for thawing processes with a heat flux condition at the fixed boundary |
publishDate |
2001 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00256455_v36_n3_p251_Lombardi http://hdl.handle.net/20.500.12110/paper_00256455_v36_n3_p251_Lombardi |
work_keys_str_mv |
AT lombardiariell similaritysolutionsforthawingprocesseswithaheatfluxconditionatthefixedboundary |
_version_ |
1768544120726355968 |