An exact solution of the diffusion equation with shrinking

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...

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Detalles Bibliográficos
Autores principales: Viollaz, P.E., Suarez, C.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09230467_v55_n3_p135_Viollaz
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09230467_v55_n3_p135_Viollaz
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spelling todo:paper_09230467_v55_n3_p135_Viollaz2023-10-03T15:45:50Z An exact solution of the diffusion equation with shrinking Viollaz, P.E. Suarez, C. 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 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09230467_v55_n3_p135_Viollaz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Viollaz, P.E.
Suarez, C.
An exact solution of the diffusion equation with shrinking
topic_facet 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
description 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.
format JOUR
author Viollaz, P.E.
Suarez, C.
author_facet Viollaz, P.E.
Suarez, C.
author_sort Viollaz, P.E.
title An exact solution of the diffusion equation with shrinking
title_short An exact solution of the diffusion equation with shrinking
title_full An exact solution of the diffusion equation with shrinking
title_fullStr An exact solution of the diffusion equation with shrinking
title_full_unstemmed An exact solution of the diffusion equation with shrinking
title_sort exact solution of the diffusion equation with shrinking
url http://hdl.handle.net/20.500.12110/paper_09230467_v55_n3_p135_Viollaz
work_keys_str_mv AT viollazpe anexactsolutionofthediffusionequationwithshrinking
AT suarezc anexactsolutionofthediffusionequationwithshrinking
AT viollazpe exactsolutionofthediffusionequationwithshrinking
AT suarezc exactsolutionofthediffusionequationwithshrinking
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