Applied Thermal Engineering, ( ISI ), Volume (85), No (12), Year (2015-6) , Pages (264-277)

Title : ( Three-dimensional analytical solution for transport problem during convection drying using Green's function method (GFM) )

Authors: Javad Abolfazli Esfahani , Vahid Hoseini , ebrahim barati ,

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A three-dimensional analytical solution of transport problem of convection-drying is accomplished using Green's function method (GFM). Mass conservation, momentum and energy equations must be solved to obtain convective heat and mass transfer coefficients. In most papers, these equations are solved using numerical methods alike. The mass transfer coefficients are calculated using analogy between the thermal and concentration boundary layers. The results of previous studies are used for these coefficients values. Green's function method has been used as a new simple method to solve equations of transport problem. The heat and mass transfer equations are solved using Green's function method and taking diffusion equation–-related adjoint differential operator equal to Delta function. Of course, these equations are coupled with thermal diffusivity, because this parameter is a function of temperature and is used in mass transfer equation. These two coupled equations were solved with a good approximation which is a definition of a weighted function for moisture distribution. Thus, temperature and moisture distributions within the body obtained as functions of x, y, z and an independent time variable t. After these steps it is seen that there is a good consistency between the results and the existing solutions. The prominent advantages of the proposed solution are techniques which are less time and money consuming compared to numerical and experimental methods.

Keywords

Convection drying; Heat and mass transfer; Analytical solution; Green's function method; Coupled heat and mass
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@article{paperid:1047750,
author = {Abolfazli Esfahani, Javad and Hoseini, Vahid and Barati, Ebrahim},
title = {Three-dimensional analytical solution for transport problem during convection drying using Green's function method (GFM)},
journal = {Applied Thermal Engineering},
year = {2015},
volume = {85},
number = {12},
month = {June},
issn = {1359-4311},
pages = {264--277},
numpages = {13},
keywords = {Convection drying; Heat and mass transfer; Analytical solution; Green's function method; Coupled heat and mass transfer},
}

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%0 Journal Article
%T Three-dimensional analytical solution for transport problem during convection drying using Green's function method (GFM)
%A Abolfazli Esfahani, Javad
%A Hoseini, Vahid
%A Barati, Ebrahim
%J Applied Thermal Engineering
%@ 1359-4311
%D 2015

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