This paper deals with the application of inverse concepts to the drying of bodies that undergo changes in their dimensions. Simultaneous estimation is performed of moisture diffusivity, together with the thermal conductivity, heat capacity, density, and phase conversion factor of a drying body, as well as the heat and mass transfer coefficients and the relative humidity of drying air. This was accomplished by using only temperature measurements. A mathematical model of the drying process of shrinking bodies has been developed where the moisture content and temperature fields in the drying body are expressed by a system of two coupled partial differential equations. The shrinkage effect was incorporated through the experimentally obtained changes of the specific volume of the drying body in an experimental convective dryer. The proposed method was applied to the process of drying potatoes. For the estimation of the unknown parameters, the transient readings of a single temperature sensor located in the midplane of the potato slice, exposed to convective drying, have been used. The Levenberg–Marquardt method and a hybrid optimization method of minimization of the least-squares norm are used to solve the present parameter estimation problem. Analyses of the sensitivity coefficients and of the determinant of the information matrix are presented as well.
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Inverse Approaches to Drying of Thin Bodies With Significant Shrinkage Effects
Gligor H. Kanevce,
Gligor H. Kanevce
Senior Professor and Academician
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Ljubica P. Kanevce,
Ljubica P. Kanevce
Senior Professor
Faculty of Technical Sciences,
e-mail: kanevce@osi.net.mk
St. Kliment Ohridski University
, Bitola, Macedonia
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Vangelce B. Mitrevski,
Vangelce B. Mitrevski
Assistant Professor
Faculty of Technical Sciences,
e-mail: elbo@mt.net.mk
St. Kliment Ohridski University
, Bitola, Macedonia
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George S. Dulikravich,
George S. Dulikravich
Professor, Chairperson
Fellow ASME
Department of Mechanical and Materials Engineering,
e-mail: dulikrav@fiu.edu
Florida International University
, 10555 West Flagler St., EC 3474, Miami, FL 33174
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Helcio R. B. Orlande
Helcio R. B. Orlande
Senior Professor, Chairperson
Mem. ASME
Department of Mechanical Engineering,
e-mail: horlande@aol.com
Federal University of Rio de Janeiro
, COPPE/UFRJ, Brazil
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Gligor H. Kanevce
Senior Professor and Academician
Ljubica P. Kanevce
Senior Professor
Faculty of Technical Sciences,
St. Kliment Ohridski University
, Bitola, Macedoniae-mail: kanevce@osi.net.mk
Vangelce B. Mitrevski
Assistant Professor
Faculty of Technical Sciences,
St. Kliment Ohridski University
, Bitola, Macedoniae-mail: elbo@mt.net.mk
George S. Dulikravich
Professor, Chairperson
Fellow ASME
Department of Mechanical and Materials Engineering,
Florida International University
, 10555 West Flagler St., EC 3474, Miami, FL 33174e-mail: dulikrav@fiu.edu
Helcio R. B. Orlande
Senior Professor, Chairperson
Mem. ASME
Department of Mechanical Engineering,
Federal University of Rio de Janeiro
, COPPE/UFRJ, Brazile-mail: horlande@aol.com
J. Heat Transfer. Mar 2007, 129(3): 379-386 (8 pages)
Published Online: May 11, 2006
Article history
Received:
October 15, 2005
Revised:
May 11, 2006
Citation
Kanevce, G. H., Kanevce, L. P., Mitrevski, V. B., Dulikravich, G. S., and Orlande, H. R. B. (May 11, 2006). "Inverse Approaches to Drying of Thin Bodies With Significant Shrinkage Effects." ASME. J. Heat Transfer. March 2007; 129(3): 379–386. https://doi.org/10.1115/1.2427072
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