Similarity solutions for thawing processes with a heat flux condition at the fixed boundary

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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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Detalles Bibliográficos
Autor principal: Lombardi, A.L
Otros Autores: Tarzia, D.A
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2001
Acceso en línea:Registro en Scopus
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Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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030 |a MECCB 
100 1 |a Lombardi, A.L. 
245 1 0 |a Similarity solutions for thawing processes with a heat flux condition at the fixed boundary 
260 |c 2001 
270 1 0 |m Lombardi, A.L.; Universidad de Buenos Aires, Facultad de Cie. Exactas y Naturales, Departamento de Matemática, 1428 Buenos Aires, Argentina; email: aldoc7@dm.uba.ar 
506 |2 openaire  |e Política editorial 
504 |a Abramowitz, M., Stegun, I., (1972) Handbook of Mathematical Functions, , Dover, New York 
504 |a Alexiades, V., Solomon, A.D., (1993) Mathematical Modeling of Melting and Freezing Processes, , Hemisphere Publ. Corp., Washington 
504 |a Charach, Ch., Rubinstein, I., Pressure-temperature effects in planar Stefan problems with density change (1992) J. Appl. Phys., 71, pp. 1128-1137 
504 |a Crank, J., (1984) Free and Moving Boundary Problems, , Clarendon Press, Oxford 
504 |a Ding, Z., Talamucci, F., Primary frost heave: A quasi steady approach (1996) Can. Appl. Math. Quart., 4, pp. 31-63 
504 |a Fasano, A., Guan, Z., Primicerio, M., Rubinstein, I., Thawing in saturated porous media (1993) Meccanica, 28, pp. 103-109 
504 |a Fasano, A., Primicerio, M., Tarzia, D.A., Similarity solutions in a class of thawing processes (1999) Math. Models Meth. Appl. Sci., 9, pp. 1-10 
504 |a Hardy, G.H., Littlewood, J.E., Polya, G., (1934) Inequalities, , Cambridge University Press, London 
504 |a Lunardini, V.J., (1991) Heat Transfer with Freezing and Thawing, , Elsevier, Amsterdam 
504 |a Nakano, Y., Quasi-steady problems in freezing soils. I. Analysis on the steady growth of an ice layer (1990) Cold. Reg. Sci. Tech., 17, pp. 207-226 
504 |a O'Neill, K., Miller, R.D., Exploration of a rigid ice model of frost heave (1985) Water Resour. Res., 21, pp. 281-296 
504 |a Talamucci, F., Analysis of the coupled heat-mass transport in freezing porous media (1997) Survey Math. Indust., 7, pp. 93-139 
504 |a Talamucci, F., Freezing processes in saturated soils (1998) Math. Models Meth. Appl. Sci., 8, pp. 107-138 
504 |a 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 
504 |a Tarzia, D.A., Soluciones exactas del problema de Stefan unidimensional (1984) Cuadern. Inst. Mat. Beppo Levi, 12, pp. 5-37 
504 |a 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) 
520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: Universidad de Buenos Aires, TX048 
536 |a Detalles de la financiación: Agencia Nacional de Promoción Científica y Tecnológica, PIP # 4798/96 Free, PICT 03-00000-00137 
536 |a Detalles de la financiación: The first author has been supported by Universidad de Buenos Aires under grant TX048 and by ANPCyT under grant PICT 03-00000-00137 (Argentina). The second author has been supported by PIP # 4798/96 Free Boundary Problems for the unidimensional Heat–Diffusion Equation from CONICET-UA, Rosario (Argentina). 
593 |a Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Matemática, 1428 Buenos Aires, Argentina 
593 |a Universidad Austral, Paraguay, CONICET, F.C.E., Departamento de Matemática, 1950, S2000FZF, Rosario, Argentina 
690 1 0 |a DENSITY JUMP 
690 1 0 |a FREE BOUNDARY PROBLEMS 
690 1 0 |a FREEZING 
690 1 0 |a PHASE CHANGE PROCESS 
690 1 0 |a SIMILARITY SOLUTION 
690 1 0 |a SOLIDIFICATION 
690 1 0 |a STEFAN PROBLEM 
690 1 0 |a THAWING PROCESSES 
690 1 0 |a BOUNDARY VALUE PROBLEMS 
690 1 0 |a DENSITY (SPECIFIC GRAVITY) 
690 1 0 |a FREEZING 
690 1 0 |a HEAT FLUX 
690 1 0 |a MATHEMATICAL MODELS 
690 1 0 |a POROUS MATERIALS 
690 1 0 |a SOLIDIFICATION 
690 1 0 |a THERMAL COEFFICIENT 
690 1 0 |a THAWING 
700 1 |a Tarzia, D.A. 
773 0 |d 2001  |g v. 36  |h pp. 251-264  |k n. 3  |p Meccanica  |x 00256455  |t Meccanica 
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856 4 0 |u https://doi.org/10.1023/A:1013963424649  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_00256455_v36_n3_p251_Lombardi  |y Handle 
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