Determination of effective diffusivity and convective mass transfer coefficient for cylindrical solids via analytical solution and inverse method: Application to the drying of rough rice

Silva, Wilton Pereira da; Precker, Jürgen W.; Silva, Cleide M. D. P. S. e

doi:10.1016/j.jfoodeng.2009.12.029

Cited by 91 publications

(69 citation statements)

References 23 publications

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“…A few studies, describing the sample dimensional correction, can be found in literature. Some data can be found in the papers [17][18][19][20]. Silva [21] presented, a way of solving the diffusion equation for the case of spherical samples.…”

Section: Theoretical Developmentmentioning

confidence: 99%

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Vasić¹,

Grbavčić²,

Radojević³

2012

Clay Minerals in Nature - Their Characterization, Modification and Application

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Section: Theoretical Developmentmentioning

confidence: 99%

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Vasić¹,

Grbavčić²,

Radojević³

2012

Clay Minerals in Nature - Their Characterization, Modification and Application

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“…In general, the appropriate boundary condition is of the third kind [6,7,9], but the first kind one is also found in several research works [1,[3][4][5][6]8], especially if some pretreatment is used before the drying process. For some products, like rice, drying does not substantially reduce the volume of the product and the shrinkage can be discarded [10,11]. However, in products such as banana [12] and grape [6,8], the shrinkage is so significant that its effect should not be discarded.…”

Section: Introductionmentioning

confidence: 99%

Diffusion models for the description of seedless grape drying using analytical and numerical solutions

Silva¹,

Silva²,

Precker³

et al. 2012

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This article compares diffusion models used to describe seedless grape drying at low temperature. The models were analyzed, assuming the following characteristics of the drying process: boundary conditions of the first and the third kind; constant and variable volume, V; constant and variable effective mass diffusivity, D; constant convective mass transfer coefficient, h. Solutions of the diffusion equation (analytical and numerical) were used to determine D and h for experimental data of seedless grape drying. Comparison of simulations of drying kineticsindicates that the best model should consider: 1) shrinkage; 2) convective boundary condition; 3) variable effective mass diffusivity. For the analyzed experimental dataset, the best function to represent the effective mass diffusivity is a hyperbolic cosine. In this case, the statistical indicators of the simulation can be considered excellent (the determination coefficient is R 2 = 0.9999 and the chi-square is χ 2 = 3.241 × 10 -4).

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“…To determine D and h by optimization, using an experimental dataset, the objective function to be minimized is given by (SILVA et al, 2010): …”

Section: Model 1: Finite Cylinder With Convective Boundary Conditionmentioning

confidence: 99%

Comparison of diffusion models for description of osmotic dehydration of radish slices dipped in brine

Silva

Gomes

2015

Eng. Agríc.

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This paper aims at describing the osmotic dehydration of radish cut into cylindrical pieces, using one-and two-dimensional analytical solutions of diffusion equation with boundary conditions of the first and third kind. These solutions were coupled with an optimizer to determine the process parameters, using experimental data. Three models were proposed to describe the osmotic dehydration of radish slices in brine at low temperature. The two-dimensional model with boundary condition of the third kind well described the kinetics of mass transfers, and it enabled prediction of moisture and solid distributions at any given time.KEYWORDS: inverse method; analytical models; cylindrical geometry COMPARAÇÃO DE MODELOS DE DIFUSÃO NA DESCRIÇÃO DA DESIDRATAÇÃOOSMÓTICA DE FATIAS DE RABANETE EM SALMOURA RESUMO: Este artigo descreve a desidratação osmótica de rabanete cortado em pedaços cilíndricos, usando soluções analíticas uni e bidimensionais da equação de difusão com condições de contorno do primeiro e terceiro tipos. Para determinar os parâmetros de processo, tais soluções foram acopladas a um otimizador que usa dados experimentais e o método inverso. Três modelos foram analisados na descrição de um experimento de desidratação osmótica de fatias de rabanete mergulhadas em salmoura, em baixa temperatura. Um modelo bidimensional com condição de contorno do terceiro tipo descreveu bem os processos de migração de massa e possibilitou prever as distribuições de umidade e de sólidos em um instante qualquer. PALAVRAS-CHAVE:Método inverso, modelos analíticos, geometria cilíndrica.

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Determination of effective diffusivity and convective mass transfer coefficient for cylindrical solids via analytical solution and inverse method: Application to the drying of rough rice

Cited by 91 publications

References 23 publications

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Diffusion models for the description of seedless grape drying using analytical and numerical solutions

Comparison of diffusion models for description of osmotic dehydration of radish slices dipped in brine

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