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Abstract:

The diffusion equation for solids that undergo change of volume was numerically integrated, using a frame of reference fixed to the volume average velocity of the system. Numerical solutions are reported for absorption and desorption processes in swelling and shrinking systems, respectively, with slab, cylindrical or spherical geometry. Uniform initial concentration, constant surface concentration, symmetry with respect to the centre, central axis or central plane of the system and diffusion coefficient independent on diffusant concentration were assumed. Plots in terms of dimensionless concentration of diffusant versus Fourier number based on the initial half-thickness of the system are reported, covering different concentration ranges of diffusant. © 1995.

Registro:

Documento: Artículo
Título:Numerical treatment of transient diffussion in shrinking or swelling solids
Autor:Viollaz, P.E.; Rovedo, C.O.; Suarez, C.
Filiación:Departamento de Industrias, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Analysis-Mathematical; Diffusion; Shrinkage; Solids; Swelling
Año:1995
Volumen:22
Número:4
Página de inicio:527
Página de fin:538
DOI: http://dx.doi.org/10.1016/0735-1933(95)00038-Z
Título revista:International Communications in Heat and Mass Transfer
Título revista abreviado:Int. Commun. Heat Mass Transf.
ISSN:07351933
CODEN:IHMTD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07351933_v22_n4_p527_Viollaz

Referencias:

  • Crank, Park, (1968) Diffusion in Polymers, , Academic Press, London
  • Crank, (1975) The Mathematics of Diffusion, , 2nd. ed., Oxford University Press, Oxford
  • Becker, A study of diffusion in solids of arbitrary shape, with application to the drying of the wheat kernel (1959) Journal of Applied Polymer Science, 1 (2), pp. 212-226
  • Liou, Bruin, (1982) Int. J. of Heat and Mass Transfer, 25, pp. 1209-1220
  • Viollaz, Suarez, (1984) Journal of Polymer Science, Polymer Physics Ed., 22, pp. 875-879
  • Viollaz, Seminario de transferencia de calor y masa en tecnología de alimentos (1984) Cuaderno del CAMAT N° 22, p. 145. , ISSN-0326-2731
  • Suarez, Viollaz, (1991) Journal of Food Engineering, 13, pp. 103-114
  • Luikov, (1968) Analytical heat diffusion theory, , Academic Press, New York
  • Landau, (1950) Quat. Appl. Math., 8, pp. 81-94
  • Viollaz, (1985) Journal of Polymer Science: Polymer Physics Edition, 23, pp. 143-147
  • Du Fort, Frankel, Stability Conditions in the Numerical Treatment of Parabolic Differential Equations (1953) Mathematical Tables and Other Aids to Computation, 7, p. 135
  • Lees, A linear three-level difference scheme for quasilinear parabolic equations (1966) Mathematics of Computation, 20, pp. 516-522

Citas:

---------- APA ----------
Viollaz, P.E., Rovedo, C.O. & Suarez, C. (1995) . Numerical treatment of transient diffussion in shrinking or swelling solids. International Communications in Heat and Mass Transfer, 22(4), 527-538.
http://dx.doi.org/10.1016/0735-1933(95)00038-Z
---------- CHICAGO ----------
Viollaz, P.E., Rovedo, C.O., Suarez, C. "Numerical treatment of transient diffussion in shrinking or swelling solids" . International Communications in Heat and Mass Transfer 22, no. 4 (1995) : 527-538.
http://dx.doi.org/10.1016/0735-1933(95)00038-Z
---------- MLA ----------
Viollaz, P.E., Rovedo, C.O., Suarez, C. "Numerical treatment of transient diffussion in shrinking or swelling solids" . International Communications in Heat and Mass Transfer, vol. 22, no. 4, 1995, pp. 527-538.
http://dx.doi.org/10.1016/0735-1933(95)00038-Z
---------- VANCOUVER ----------
Viollaz, P.E., Rovedo, C.O., Suarez, C. Numerical treatment of transient diffussion in shrinking or swelling solids. Int. Commun. Heat Mass Transf. 1995;22(4):527-538.
http://dx.doi.org/10.1016/0735-1933(95)00038-Z