Drying of solids: The infinite slab condition

Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 10...

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Autor principal:	Rovedo, Clara Ofelia
Publicado:	2000
Materias:	Drying Infinite slab Unsteady heat conduction Boundary conditions Errors Heat conduction Heat transfer Mass transfer Reaction kinetics Shrinkage Solids Temperature Biot numbers Fourier numbers Fourier second law Infinite slab condition liquid-solid separation
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07373937_v18_n4-5_p1007_Rovedo http://hdl.handle.net/20.500.12110/paper_07373937_v18_n4-5_p1007_Rovedo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_07373937_v18_n4-5_p1007_Rovedo
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spelling	paper:paper_07373937_v18_n4-5_p1007_Rovedo2023-06-08T15:44:14Z Drying of solids: The infinite slab condition Rovedo, Clara Ofelia Drying Infinite slab Unsteady heat conduction Boundary conditions Errors Heat conduction Heat transfer Mass transfer Reaction kinetics Shrinkage Solids Temperature Biot numbers Fourier numbers Fourier second law Infinite slab condition Unsteady heat conduction Drying Drying liquid-solid separation Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 100 correspond to heat and mass transfer-controlled processes, respectively, during drying. The results show that the finite slab cannot be considered as infinite, even for R2/R1 > 20. The relative error obtained when the finite slab was assumed to be infinite was not significant for small Fourier numbers, but it increased as the Fourier number increased; errors were also higher for higher Biot numbers. When the numerical solution of a drying model was obtained for finite and infinite slabs, significant differences in drying kinetics and temperature evolution were observed. Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 100 correspond to heat and mass transfer-controlled processes, respectively, during drying. The results show that the finite slab cannot be considered as infinite, even for R2/R1 > 20. The relative error obtained when the finite slab was assumed to be infinite was not significant for small Fourier numbers, but it increased as the Fourier number increased; errors were also higher for higher Biot numbers. When the numerical solution of a drying model was obtained for finite and infinite slabs, significant differences in drying kinetics and temperature evolution were observed. Fil:Rovedo, C.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07373937_v18_n4-5_p1007_Rovedo http://hdl.handle.net/20.500.12110/paper_07373937_v18_n4-5_p1007_Rovedo
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Drying Infinite slab Unsteady heat conduction Boundary conditions Errors Heat conduction Heat transfer Mass transfer Reaction kinetics Shrinkage Solids Temperature Biot numbers Fourier numbers Fourier second law Infinite slab condition Unsteady heat conduction Drying Drying liquid-solid separation
spellingShingle	Drying Infinite slab Unsteady heat conduction Boundary conditions Errors Heat conduction Heat transfer Mass transfer Reaction kinetics Shrinkage Solids Temperature Biot numbers Fourier numbers Fourier second law Infinite slab condition Unsteady heat conduction Drying Drying liquid-solid separation Rovedo, Clara Ofelia Drying of solids: The infinite slab condition
topic_facet	Drying Infinite slab Unsteady heat conduction Boundary conditions Errors Heat conduction Heat transfer Mass transfer Reaction kinetics Shrinkage Solids Temperature Biot numbers Fourier numbers Fourier second law Infinite slab condition Unsteady heat conduction Drying Drying liquid-solid separation
description	Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 100 correspond to heat and mass transfer-controlled processes, respectively, during drying. The results show that the finite slab cannot be considered as infinite, even for R2/R1 > 20. The relative error obtained when the finite slab was assumed to be infinite was not significant for small Fourier numbers, but it increased as the Fourier number increased; errors were also higher for higher Biot numbers. When the numerical solution of a drying model was obtained for finite and infinite slabs, significant differences in drying kinetics and temperature evolution were observed. Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 100 correspond to heat and mass transfer-controlled processes, respectively, during drying. The results show that the finite slab cannot be considered as infinite, even for R2/R1 > 20. The relative error obtained when the finite slab was assumed to be infinite was not significant for small Fourier numbers, but it increased as the Fourier number increased; errors were also higher for higher Biot numbers. When the numerical solution of a drying model was obtained for finite and infinite slabs, significant differences in drying kinetics and temperature evolution were observed.
author	Rovedo, Clara Ofelia
author_facet	Rovedo, Clara Ofelia
author_sort	Rovedo, Clara Ofelia
title	Drying of solids: The infinite slab condition
title_short	Drying of solids: The infinite slab condition
title_full	Drying of solids: The infinite slab condition
title_fullStr	Drying of solids: The infinite slab condition
title_full_unstemmed	Drying of solids: The infinite slab condition
title_sort	drying of solids: the infinite slab condition
publishDate	2000
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07373937_v18_n4-5_p1007_Rovedo http://hdl.handle.net/20.500.12110/paper_07373937_v18_n4-5_p1007_Rovedo
work_keys_str_mv	AT rovedoclaraofelia dryingofsolidstheinfiniteslabcondition
_version_	1768546680308760576

Drying of solids: The infinite slab condition

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