A quick method for thermal diffusivity estimation: Application to several foods

Betta, Giampaolo; Rinaldi, Massimiliano; Barbanti, Davide; Massini, Roberto

doi:10.1016/j.jfoodeng.2008.08.003

Cited by 37 publications

(31 citation statements)

References 33 publications

(30 reference statements)

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“…A discrete form can be found by using FDM. Betta G., et al [4], Amendola and Queiroz [3], Tabrizi and Hamdullahpur [12], Ahmet Kaya et. al.…”

Section: Mathematical Simulation Modelingmentioning

confidence: 99%

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

Islam¹,

Alias²

2010

IJCEE

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Abstract-Advances in herbs based products preservation and technologies are very significant in order to reduce post-harvest losses. The dynamic mathematical model of concurrent heat and moisture transfer are being established for the simulation of temperature and moisture distributions inside the herbs material during dehydration potential of herbs in a slab-shaped solid. Mathematical modeling presents the exchange of heat and mass transfer between material and drying air. Finite-difference method (FDM) based on Crank-Nicolson was used to discretise a parabolic type partial differential equations (PDE). The key purpose of this study is to illustrate the simulation of tropical herbs' dehydration through some numerical methods such as Jacobi, Gauss-Seidel and Red-Black Gauss-Seidel. This study focuses on the implementation of sequential algorithms on the simulation. 3D geometric visualization by COMSOL Multiphysics and graphical numerical results of FDM approximation in mass and heat transfer demonstrate the results of this study. The contribution of this study is a flourishing and modified mathematical simulation in representing the concrete process of dehydration in herbs product based industry. Most thermal and moisture models are empirical rather than theoretical. Therefore, the novelty of this paper is the best sources of thermal and moisture data for the commercial tropical herbs dehydration derived from the mathematical model in order to avoid high prototype costs and to improve inaccurate conditions and process parameters with the advancement of dryer technologies. The computational platform is based on Intel®Core™2Quad processors with MATLAB software. The performance analyses of Numerical methods are presented in terms of execution time, computational complexity, number of iterations, errors, accuracy, and convergence rate.

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“…A discrete form can be found by using FDM. Betta G., et al [4], Amendola and Queiroz [3], Tabrizi and Hamdullahpur [12], Ahmet Kaya et. al.…”

Section: Mathematical Simulation Modelingmentioning

confidence: 99%

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

Islam¹,

Alias²

2010

IJCEE

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“…In the context of diffusion, the calculation of the potential profiles requires the transport coefficients which are available in the engineering literature or determined by comparison with experimental data of a particular process of heat and mass transfer [2][3][4][5][6]. With the knowledge of this information it is possible to determine thermo-hydricalmechanical stresses and to predict different problems such as crack, fissures, and deformations within the solid during the diffusion process.…”

Section: Introductionmentioning

confidence: 99%

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

Farias

Silva

et al. 2015

Heat Mass Transfer

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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 )

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“…Among various unsteady-state methods presented so far, a transient hot-wire method (3) becomes one of the commonly used techniques for the measurement of thermal diffusivity of liquids (4) . Over the past several decades, numerous methods have been proposed on the measurement of the thermal diffusivity of liquids under different ranges of temperature and pressure (5)(6)(7)(8)(9)(10)(11) . All of these methods were batch measurement by sampling some liquids from the process to measure, there is no one has measured in real time, so if the liquids were flowing in pipes(in processing time), we could not measure their real thermal diffusivity at that time.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Method for Determination of Thermal Diffusivity of Liquid Flowing in a Pipe

Saengswarng

Khunthong

2013

JTST

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The paper deals with determination of thermal diffusivity of liquid flowing in a pipe based on inverse problem. The hybrid method was developed to improve the inverse solution. The proposed method is a combination of the artificial neural network and inverse solution algorithm. The artificial neural network is adopted for making a good initial-guessed value for the inverse solution. Numerical examples are included to demonstrate the performance of the proposed method. In comparison with the simple inverse solution, the proposed hybrid method is efficiently converged to yield good estimates.

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A quick method for thermal diffusivity estimation: Application to several foods

Cited by 37 publications

References 33 publications

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

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

Hybrid Method for Determination of Thermal Diffusivity of Liquid Flowing in a Pipe

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