Transporte de Materia con Reducción de Volumen en el Interior de Sólidos Paralelepípedos

Nascimento, J.J. Silva; Mederos, Bárbara Janet Teruel; Belo, Francisco Antônio; Lima, Antônio Gilson Barbosa de

doi:10.4067/s0718-07642005000100006

Cited by 4 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The values obtained for the mass diffusivity, although strongly dependent on the geometry and composition of the product as well as the manufacturing process and drying temperature, are compatible with values available in the literature for the mass diffusivity of ceramic materials [14].…”

Section: Variable Diffusivitysupporting

confidence: 68%

“…To this end, it was considered that the shrinkage occurs in three directions [14], so that it was necessary to determine an expression for each dimension: thickness (E), width (L) and length (C). Thus, from experimental measured values for the dimensions of the tiles over time, expressions were determined by curve fitting.…”

Section: Variable Volumementioning

confidence: 99%

“…Several studies have been reported in literature using a diffusion model to describe the physical process, and consider the geometric shape of the bodies as cylinder, sphere, or infinite slab [7][8][9][10][11]. Analytical and numerical solutions to predict heat and mass diffusion in porous bodies are also reported for prolate and oblate spheroids [12,13], as well as parallelepipeds [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Assessment of diffusion models to describe drying of roof tiles using generalized coordinates

Farias

Silva

et al. 2015

Heat Mass Transfer

View full text Add to dashboard Cite

This article aims to study the mass transient diffusion in solids with an arbitrary shape, highlighting boundary condition of the third kind. To this end, the numerical formalism to discretize the transient 3D diffusion equation written in generalized coordinates is presented. For the discretization, it was used the finite volume method with a fully implicit formulation. An application to drying of roof tiles has been done. Three models were used to describe the drying process: (1) the volume V and the effective mass diffusivity D are considered constant for the boundary condition of the first kind; (2) V and D are considered constant for the boundary condition of the third kind and (3) V and D are considered variable for the boundary condition of the third kind. For all models, the convective mass transfer coefficient h was considered constant. The analyses of the results obtained make it possible to affirm that the model 3 describes the drying process better than the other models. List of symbols Latin symbols A, BCoefficients of algebraic equation of the discretized equation A 1 , B 1 , C 1 , Constants obtained by non-linear regression for dimensions of the tiles a, bFitting parameters obtained by optimization D efEffective water diffusivity (m 2 s -1 ) E, L, C Dimensions of the roof tiles (m) hConvective mass transfer coefficient (m s -1 ) J Jacobian of the transformation (m -3 )

show abstract

Section: Variable Diffusivitysupporting

confidence: 68%

Section: Variable Volumementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Assessment of diffusion models to describe drying of roof tiles using generalized coordinates

Farias

Silva

et al. 2015

Heat Mass Transfer

View full text Add to dashboard Cite

show abstract

“…Many papers provide analytical and/or numerical solutions of the diffusion equation applied to various geometries, boundary conditions and constant or variable diffusion coefficients [14,15]. However, there are few scientific results that study transient problems with three-dimensional geometries [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer during Drying of Clay Ceramic Materials: A Three-Dimensional Analytical Study

Brito

Almeida

Lima

et al. 2017

View full text Add to dashboard Cite

This work aims to study heat and mass transfer in solids with parallelepiped shape with particular reference to drying process. A transient three-dimensional mathematical model based on the Fick ́s and Fourier ́s Laws was developed to predict heat and mass transport in solids considering constant physical properties and convective boundary conditions at the surface of the solid. The analytical solution of the governing equations was obtained using the method of separation of variables. The study was applied in the drying of common ceramic bricks. Predicted results of the heating and drying kinetics and the moisture and temperature distributions inside the material during the process, are compared with experimental data and good agreement was obtained. It has been found that the vertices of the solid dry and heat first. This provokes thermal and hydric stresses inside the material, which may compromise the quality of the product after drying.

show abstract

Clay Products Convective Drying: Foundations, Modeling and Applications

Lima

Silva

Almeida

et al. 2015

Advanced Structured Materials

View full text Add to dashboard Cite

Transporte de Materia con Reducción de Volumen en el Interior de Sólidos Paralelepípedos

Cited by 4 publications

References 0 publications

Assessment of diffusion models to describe drying of roof tiles using generalized coordinates

Assessment of diffusion models to describe drying of roof tiles using generalized coordinates

Heat and Mass Transfer during Drying of Clay Ceramic Materials: A Three-Dimensional Analytical Study

Clay Products Convective Drying: Foundations, Modeling and Applications

Contact Info

Product

Resources

About