Numerical solution of coupled mass and energy balances during osmotic microwave dehydration

The mass and energy transfer during osmotic microwave drying (OD-MWD) process was studied theoretically by modeling and numerical simulation. With the aim to describe the transport phenomena that occurs during the combined dehydration process, the mass and energy microscopic balances were solved. An osmotic-diffusional model was used for osmotic dehydration (OD). On the other hand, the microwave drying (MWD) was modeled solving the mass and heat balances, using properties as function of temperature, moisture and soluble solids content. The obtained balances form highly coupled non-linear differential equations that were solved applying numerical methods. For osmotic dehydration, the mass balances formed coupled ordinary differential equations that were solved using the Fourth-order Runge Kutta method. In the case of microwave drying, the balances constituted partial differential equations, which were solved through Crank-Nicolson implicit finite differences method. The numerical methods were coded in Matlab 7.2 (Mathworks, Natick, MA). The developed mathematical model allows predict the temperature and moisture evolution through the combined dehydration process. Mathematical subject classification: Primary: 06B10; Secondary: 06D05.

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Main Authors: Arballo,Javier R, Campañone,Laura A, Mascheroni,Rodolfo H
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2012
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300006
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spelling oai:scielo:S1807-030220120003000062012-11-28Numerical solution of coupled mass and energy balances during osmotic microwave dehydrationArballo,Javier RCampañone,Laura AMascheroni,Rodolfo H mathematical modeling osmotic-microwave combined dehydration The mass and energy transfer during osmotic microwave drying (OD-MWD) process was studied theoretically by modeling and numerical simulation. With the aim to describe the transport phenomena that occurs during the combined dehydration process, the mass and energy microscopic balances were solved. An osmotic-diffusional model was used for osmotic dehydration (OD). On the other hand, the microwave drying (MWD) was modeled solving the mass and heat balances, using properties as function of temperature, moisture and soluble solids content. The obtained balances form highly coupled non-linear differential equations that were solved applying numerical methods. For osmotic dehydration, the mass balances formed coupled ordinary differential equations that were solved using the Fourth-order Runge Kutta method. In the case of microwave drying, the balances constituted partial differential equations, which were solved through Crank-Nicolson implicit finite differences method. The numerical methods were coded in Matlab 7.2 (Mathworks, Natick, MA). The developed mathematical model allows predict the temperature and moisture evolution through the combined dehydration process. Mathematical subject classification: Primary: 06B10; Secondary: 06D05.info:eu-repo/semantics/openAccessSociedade Brasileira de Matemática Aplicada e ComputacionalComputational & Applied Mathematics v.31 n.3 20122012-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300006en10.1590/S1807-03022012000300006
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Arballo,Javier R
Campañone,Laura A
Mascheroni,Rodolfo H
spellingShingle Arballo,Javier R
Campañone,Laura A
Mascheroni,Rodolfo H
Numerical solution of coupled mass and energy balances during osmotic microwave dehydration
author_facet Arballo,Javier R
Campañone,Laura A
Mascheroni,Rodolfo H
author_sort Arballo,Javier R
title Numerical solution of coupled mass and energy balances during osmotic microwave dehydration
title_short Numerical solution of coupled mass and energy balances during osmotic microwave dehydration
title_full Numerical solution of coupled mass and energy balances during osmotic microwave dehydration
title_fullStr Numerical solution of coupled mass and energy balances during osmotic microwave dehydration
title_full_unstemmed Numerical solution of coupled mass and energy balances during osmotic microwave dehydration
title_sort numerical solution of coupled mass and energy balances during osmotic microwave dehydration
description The mass and energy transfer during osmotic microwave drying (OD-MWD) process was studied theoretically by modeling and numerical simulation. With the aim to describe the transport phenomena that occurs during the combined dehydration process, the mass and energy microscopic balances were solved. An osmotic-diffusional model was used for osmotic dehydration (OD). On the other hand, the microwave drying (MWD) was modeled solving the mass and heat balances, using properties as function of temperature, moisture and soluble solids content. The obtained balances form highly coupled non-linear differential equations that were solved applying numerical methods. For osmotic dehydration, the mass balances formed coupled ordinary differential equations that were solved using the Fourth-order Runge Kutta method. In the case of microwave drying, the balances constituted partial differential equations, which were solved through Crank-Nicolson implicit finite differences method. The numerical methods were coded in Matlab 7.2 (Mathworks, Natick, MA). The developed mathematical model allows predict the temperature and moisture evolution through the combined dehydration process. Mathematical subject classification: Primary: 06B10; Secondary: 06D05.
publisher Sociedade Brasileira de Matemática Aplicada e Computacional
publishDate 2012
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300006
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