Abstract:
An exact solution for diffusion from a shrinking slab of finite thickness, assuming a constant mutual diffusion coefficient, has been obtained. This has been accomplished by first casting the appropriate differential equation into the form of an equation describing diffusion in a semi-infinite slab with a fixed domain of integration but with a quadratic concentration dependence of the diffusivity and then making use of Fujita's analytical solution for that equation. The present results are of potential interest in the fields of drying, dyeing, ion exchange and solid-liquid extraction. © 1994.
Registro:
Documento: |
Artículo
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Título: | An exact solution of the diffusion equation with shrinking |
Autor: | Viollaz, P.E.; Suarez, C. |
Filiación: | Departamento de Industrias, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires Argentina
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Palabras clave: | Casting; Density (specific gravity); Differential equations; Drying; Dyeing; Extraction; Integration; Ion exchange; Molecular weight; Constant mutual diffusion coefficient; Diffusant; Diffusivity; Fujita method; Shrinking slab; Solid liquid extraction; Diffusion |
Año: | 1994
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Volumen: | 55
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Número: | 3
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Página de inicio: | 135
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Página de fin: | 138
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DOI: |
http://dx.doi.org/10.1016/0923-0467(93)02836-L |
Título revista: | The Chemical Engineering Journal and The Biochemical Engineering Journal
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Título revista abreviado: | Chem. Eng. J. Biochem. Eng. J.
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ISSN: | 09230467
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CODEN: | CMEJA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09230467_v55_n3_p135_Viollaz |
Referencias:
- Crank, Park, An evaluation of the diffusion coefficient for chloroform in polystyrene from simple absorption experiments (1948) Transactions of the Faraday Society, 45, p. 240
- Park, (1950) Trans. Faraday Soc., 46, p. 684
- Prager, (1951) J. Chem. Phys., 19, p. 537
- Prager, Long, (1951) J. Am. Chem. Soc., 73, p. 4072
- Crank, Henry, (1949) Trans. Faraday Soc., 45, p. 1119
- Fujita, The Exact Pattern of a Concentration-Dependent Diffusion in a Semi-infinite Medium, Part I (1952) Textile Research Journal, 22, p. 757
- Crank, (1956) Mathematics of Diffusion, p. 224. , Clarendon, Oxford
- Viollaz, Suarez, (1985) AIChE J., 31, p. 1566
- Fujita, The Exact Pattern of a Concentration-Dependent Diffusion in a Semi-infinite Medium, Part II (1952) Textile Research Journal, 22, p. 823
Citas:
---------- APA ----------
Viollaz, P.E. & Suarez, C.
(1994)
. An exact solution of the diffusion equation with shrinking. The Chemical Engineering Journal and The Biochemical Engineering Journal, 55(3), 135-138.
http://dx.doi.org/10.1016/0923-0467(93)02836-L---------- CHICAGO ----------
Viollaz, P.E., Suarez, C.
"An exact solution of the diffusion equation with shrinking"
. The Chemical Engineering Journal and The Biochemical Engineering Journal 55, no. 3
(1994) : 135-138.
http://dx.doi.org/10.1016/0923-0467(93)02836-L---------- MLA ----------
Viollaz, P.E., Suarez, C.
"An exact solution of the diffusion equation with shrinking"
. The Chemical Engineering Journal and The Biochemical Engineering Journal, vol. 55, no. 3, 1994, pp. 135-138.
http://dx.doi.org/10.1016/0923-0467(93)02836-L---------- VANCOUVER ----------
Viollaz, P.E., Suarez, C. An exact solution of the diffusion equation with shrinking. Chem. Eng. J. Biochem. Eng. J. 1994;55(3):135-138.
http://dx.doi.org/10.1016/0923-0467(93)02836-L