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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_07373937_v18_n4-5_p1007_Rovedo |
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todo:paper_07373937_v18_n4-5_p1007_Rovedo2023-10-03T15:37:53Z Drying of solids: The infinite slab condition Rovedo, C.O. Viollaz, P.E. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, C.O. Viollaz, P.E. 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. |
| format |
JOUR |
| author |
Rovedo, C.O. Viollaz, P.E. |
| author_facet |
Rovedo, C.O. Viollaz, P.E. |
| author_sort |
Rovedo, C.O. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_07373937_v18_n4-5_p1007_Rovedo |
| work_keys_str_mv |
AT rovedoco dryingofsolidstheinfiniteslabcondition AT viollazpe dryingofsolidstheinfiniteslabcondition |
| _version_ |
1807319523268755456 |