Abstract:
The numerical solution of a two-dimensional moving boundary problem in which the solid changes its volumen in two directions is presented. A coordinate transformation that reduces the process to a one-dimensional variation is proposed. Numerical results by two different methods are obtained. The numerical results are compared satisfactorilly with available experimental data. © 1988.
Registro:
Documento: |
Artículo
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Título: | Solution of moving boundary problems by coordinate transformations |
Autor: | Agaras, H.; Aguerre, R.J.; Gabitto, J.F. |
Filiación: | PINMATE (CONICET-UBA) Dpto. Industrias, Facultad Cs. Exactas Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Palabras clave: | DRYING - Analysis; FOOD PRODUCTS - Dehydration; HEAT FLOW; MOISTURE CONTENT; WATER MIGRATION; HEAT TRANSFER |
Año: | 1988
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Volumen: | 15
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Número: | 1
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Página de inicio: | 41
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Página de fin: | 50
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DOI: |
http://dx.doi.org/10.1016/0735-1933(88)90005-X |
Título revista: | International Communications in Heat and Mass Transfer
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Título revista abreviado: | Int. Commun. Heat Mass Transf.
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ISSN: | 07351933
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CODEN: | IHMTD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07351933_v15_n1_p41_Agaras |
Referencias:
- Carslaw, Yaeger, (1959) Conduction of heat in solids, , Oxford University Press, London
- Leaf, Amich, Minskoff, A study of the use of collocation with B-spline for heat conduction in a plane slab with change of phase (1978) Argonne National Laboratory, Paper ANL-8145
- Hsu, Sparrow, Patankar, Numerical solution of moving boundary problems by boundary inmovilization and a control volume based finite difference scheme (1981) Int. J. Heat Mass Transfer, 24, pp. 1335-1343
- Ichikawa, Kikuchi, A one phase multidimensional Stephan problem by the method of variational inequalities (1978) Ind. J. num. Math. Engng., 14, pp. 1191-1195
- Rolph, Bathe, An efficient algorithm for analysis of non-linear heat transfer with phase changes (1982) Int. J. num. Math. Engng., 18, pp. 119-134
- Murray, Landis, Numerical and machine solutions of transient heat conduction problems involving melting or freezing (1959) J. Heat Transfer, 106
- Eyres, Hartree, Inghem, Jackson, Sargent, Wastaff, The calculation of variable heat flow in solids (1947) Phil. Trans. Royal Soc., p. 240. , Ser. A1
- Yuen, Kleinman, Application of a variable time step finite difference method for the one-dimensional melting problem including the effect of subcooling (1980) AIChE. J., 26 (5), pp. 828-832
- Gupta, Kumar, Variable time step methods for one-dimensional Stephan problems with mixed boundary conditions (1981) Int. J. Heat Mass Transfer, 24, pp. 251-259
- Gabitto, Aguerre, Numerical solution of the drying process with volume change (1985) Lat. am. j. heat mass transf., 9, pp. 231-240
- Siegel, Sosoka, Cauchy integral method for two-dimensional solidification interface shapes (1982) Int. J. Heat Mass Transfer, 25, pp. 975-984
- Gabitto, Aguerre, Heat and mass transfer processes in bodies of non-conventional shapes (1987) Int. Com. Heat Mass Transfer, , In press
- Salas, Labuza, Numerical solution of simultaneous diffusion and shrinkage during soybean drying (1968) Food Technol., 22
- Vaccarezza, Cinetica y mecanismo de transporte de agua durante la desidratacion de la remolacha azucarera (1975) Ph.D. Thesis. Universidad de Buenos Aires
Citas:
---------- APA ----------
Agaras, H., Aguerre, R.J. & Gabitto, J.F.
(1988)
. Solution of moving boundary problems by coordinate transformations. International Communications in Heat and Mass Transfer, 15(1), 41-50.
http://dx.doi.org/10.1016/0735-1933(88)90005-X---------- CHICAGO ----------
Agaras, H., Aguerre, R.J., Gabitto, J.F.
"Solution of moving boundary problems by coordinate transformations"
. International Communications in Heat and Mass Transfer 15, no. 1
(1988) : 41-50.
http://dx.doi.org/10.1016/0735-1933(88)90005-X---------- MLA ----------
Agaras, H., Aguerre, R.J., Gabitto, J.F.
"Solution of moving boundary problems by coordinate transformations"
. International Communications in Heat and Mass Transfer, vol. 15, no. 1, 1988, pp. 41-50.
http://dx.doi.org/10.1016/0735-1933(88)90005-X---------- VANCOUVER ----------
Agaras, H., Aguerre, R.J., Gabitto, J.F. Solution of moving boundary problems by coordinate transformations. Int. Commun. Heat Mass Transf. 1988;15(1):41-50.
http://dx.doi.org/10.1016/0735-1933(88)90005-X