A MATHEMATICAL MODEL AND SIMULATION OF THE DRYING PROCESS OF THIN LAYERS OF POTATOES IN A CONVEYOR-BELT DRYER
Abstract
This paper presents a mathematical model and numerical analysis of the convective drying process of small particles of potatoes slowly moving through the flow of a drying agent - hot moist air. The drying process was analyzed in the form of a one-dimensional thin layer. The mathematical model of the drying process is a system of two ordinary nonlinear differential equations with constant coefficients and an equation with a transcendent character. The appropriate boundary conditions of the mathematical model were given. The presented model is suitable in the automated control. The presented system of differential equations was solved numerically. The analysis presented here and the obtained results could be useful in predicting the drying kinetics of potatoes and similar natural products in a conveyor-belt dryer.
Dates
- Submission Date2013-09-20
- Revision Date2014-01-28
- Acceptance Date2014-02-24
- Online Date2014-03-08
References
- Batista, M. L., et al. Thin layer drying of chitosan considering the material shrinkage, Proceedings of the IDS 2004, 14th International Drying Symposium, Sao Paulo, Brazil, 2004, Vol. C, pp. 407-413.
- Pinto, A. A., Tobinaga, S., Diffusive model with shrinkage in the thin-layer drying of fish muscles, Drying Technology Journal, 24 (2006), 4, pp. 509-516.
- Lecomte, D., et al., Method for the design of a contact dryer-application to sludge treatment in thin film boiling, Drying Technology Journal, 22 (2004), 9, pp. 2151-2172.
- Midilli, A., et al., A new model for single-layer drying, Drying Technology Journal, 20 (2002), 7, pp. 1503-1513.
- Goncharova, S.V., et al., Mathematical modeling of cross-flow belt dryer for polimer drying, Proceedings of the IDS 1998, 11th International Drying Symposium, Porto Carras, Greece, 1998, Vol. A, pp. 407-413.
- Khankari, K.K.; Patankar, S.V., Performance analysis of a double-deck conveyor dryer - a computational approach, Drying Technology Journal, 17 (1999), 10, pp. 2055-2067.
- Dong, C., et al., Numerical modeling of contaminant transport in fractured porous media using mixed finite-element and finite volume methods, Journal of Porous Media, 14 (2011), 3, pp. 219-242.
- Souad M., et al., Mathematical modeling of a packed bed drying with humid air and superheated steam. Journal of Porous Media, 14 (2011), 2, pp. 169-177.
- Damseh, R.A., Duwairi, H.M., Thermo-phoresis Particle Deposition: Natural Convection Interaction from Vertical Permeable Surfaces Embedded in a Porous Medium, Journal of Porous Media, 12 (2009), 1, pp. 79-88.
- Milojević, D., Analiza prenosa toplote i mase prilikom konvektivnog sušenja prirodnih materijala (Analysis of heat and mass transfer of convective drying process of natural products), M.Sc. thesis, University of Belgrade, Belgrade, Serbia, 1979.
- Raković, A., Analiza kinetike sušenja prirodnih materijala (Analysis of drying kinetics of natural products), M.Sc. thesis, University of Belgrade, Belgrade, Serbia, 1987
- Stakić, B.M, Numerical study on hygroscopic capillary-porous material drying in packed bed, Thermal Science, 4 (2000), 2, pp. 89-100.
- Dedić, A., Modeliranje spregnutog procesa prenosa toplote i mase prilikom konvektivnog sušenja drveta (Modeling of the coupled process of heat and mass transfer during convective wood drying), Ph.D thesis, University of Belgrade, Belgrade, Serbia, 2001.
- Dedić, A., et al., A three dimensional model for heat and mass transfer in convective wood drying, Drying Technology Journal, 21 (2003), 1, pp. 1-15.
- Dedić, A., et al., Modelling the Process of Desorption of Water in Oak
- Pakowski Z., Mujumdar A.S., Basic Process Calculations and Simulations in Drying, in: Handbook of Industrial Drying (Ed. A. S. Mujumdar), CRC Press: New York, USA, 2007, pp. 54-179.
- Eckert, E.R.G., Drake, R.M., Analisys of Heat and Mass Transfer, Mc Graw-Hill, New York, USA, 1972.
- Luikov, A.V., Systems of Differential Equations of Heat and Mass Transfer in Capillary-Porous bodies, International Journal of Heat and Mass Transfer, 18 (1975), 1, pp. 1-14.
- Salemović, D., Matematičko modeliranje, simulacija i identifikacija procesa sušenja prirodnih proizvoda u trakastoj sušari (Mathematical modelling, simulation and identification of drying process of natural products in striped drying chamber), Ph.D. thesis, University of Belgrade, Belgrade, Serbia, 1999.
- Zlatković B. P, Rajković, M. B, Analysis of drying potato kinetics in laboratory conditions, Journal of Agricultural Sciences, 50 (2005), 2, pp. 161-171.
- Topić, M.R, Osnove projektovanja, proračuna i konstruisanja sušara (Fundaments of design, calculation and constructing of dryers), Naučna knjiga, Belgrade, Serbia, 1989.
- Jaćimović, M.B., Genić, B.S., Difuzione operacije i aparati II deo: difuzione operacije-(Diffusion operations and apparatus - II part: diffusion operations), University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia, 2010.