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Abstract:

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.

Registro:

Documento: Artículo
Título:Similarity solutions for thawing processes with a heat flux condition at the fixed boundary
Autor:Lombardi, A.L.; Tarzia, D.A.
Filiación:Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Matemática, 1428 Buenos Aires, Argentina
Universidad Austral, Paraguay, CONICET, F.C.E., Departamento de Matemática, 1950, S2000FZF, Rosario, Argentina
Palabras clave: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
Año:2001
Volumen:36
Número:3
Página de inicio:251
Página de fin:264
DOI: http://dx.doi.org/10.1023/A:1013963424649
Título revista:Meccanica
Título revista abreviado:Meccanica
ISSN:00256455
CODEN:MECCB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00256455_v36_n3_p251_Lombardi

Referencias:

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  • Alexiades, V., Solomon, A.D., (1993) Mathematical Modeling of Melting and Freezing Processes, , Hemisphere Publ. Corp., Washington
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  • Tarzia, D.A., An inequality for the coefficient σ of the free boundary s(t) = 2σ√t of the Neumann solution for the two-phase Stefan problem (1981) Quart. Appl. Math., 39, pp. 491-497
  • Tarzia, D.A., Soluciones exactas del problema de Stefan unidimensional (1984) Cuadern. Inst. Mat. Beppo Levi, 12, pp. 5-37
  • Tarzia, D.A., A bibliography on moving-free boundary problems for the heat-diffusion equation: The Stefan problem and related problems (2000) MAT - Serie A, (2). , www.austral.edu.ar/MAT-SerieA/2(2000), Rosario (with 5869 titles on the subject)

Citas:

---------- APA ----------
Lombardi, A.L. & Tarzia, D.A. (2001) . Similarity solutions for thawing processes with a heat flux condition at the fixed boundary. Meccanica, 36(3), 251-264.
http://dx.doi.org/10.1023/A:1013963424649
---------- CHICAGO ----------
Lombardi, A.L., Tarzia, D.A. "Similarity solutions for thawing processes with a heat flux condition at the fixed boundary" . Meccanica 36, no. 3 (2001) : 251-264.
http://dx.doi.org/10.1023/A:1013963424649
---------- MLA ----------
Lombardi, A.L., Tarzia, D.A. "Similarity solutions for thawing processes with a heat flux condition at the fixed boundary" . Meccanica, vol. 36, no. 3, 2001, pp. 251-264.
http://dx.doi.org/10.1023/A:1013963424649
---------- VANCOUVER ----------
Lombardi, A.L., Tarzia, D.A. Similarity solutions for thawing processes with a heat flux condition at the fixed boundary. Meccanica. 2001;36(3):251-264.
http://dx.doi.org/10.1023/A:1013963424649