THERMAL SCIENCE

International Scientific Journal

Duško R Salemović

,

Aleksandar Đ DedićORCID

,

Nenad Lj Ćuprić

TWO-DIMENSIONAL MATHEMATICAL MODEL FOR SIMULATION OF THE DRYING PROCESS OF THICK LAYERS OF NATURAL MATERIALS IN A CONVEYOR-BELT DRYER

ABSTRACT
This paper presents the mathematical model and numerical analysis of the convective drying process of thick slices of colloidal capillary-porous materials slowly moving through conveyor-belt dryer. A flow of hot moist air was used as drying agent. The drying process has been analyzed in the form of a 2-D mathematical model, in two directions: along the conveyor and perpendicular on it. The mathematical model consists of two non-linear differential equations and one equation with a transcendent character and it is based on the mathematical model developed for drying process in a form of a 1-D thin layer. The appropriate boundary conditions were introduced. The presented model is suitable for the automated control of conveyor-belt dryers. The obtained results with analysis could be useful in predicting the drying kinetics of potato slices and similar natural products.
KEYWORDS
drying, thick layer, conveyor-belt dryer, modeling, automatic control, simulation
PAPER SUBMITTED: 2016-03-08
PAPER REVISED: 2016-07-29
PAPER ACCEPTED: 2016-10-03
PUBLISHED ONLINE: 2016-11-06
DOI REFERENCE: https://doi.org/10.2298/TSCI160308259S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE No. 3, PAGES [1369 - 1378]
REFERENCES
[1] Salemović, D. R., et al., A Mathematical Model and Simulation of the Drying Process of Thin Layers of Potatoes in a Conveyor-Belt Dryer, Thermal Science, 19 (2015), 3, pp. 1107-1118, 10.2298/tsci130920020s
[2] Xanthopoulos, G, et al., Applicability of a Single-Layer Drying Model to Predict the Drying Rate of Whole Figs, Journal of Food Engineering, 81 (2007), 3, pp. 553-559, 10.1016/j.jfoodeng.2006.11.033
[3] Aghbashlo, M., et al., Energy and Exergy Analyses of Thin-Layer Drying of Potato Slices in a Semi-Industrial Continuous Band Dryer, Drying Technology, 26 (2008), 12, 4, pp. 1501-1508, 10.1080/07373930802412231
[4] Srikiatden, J., Roberts, J. S., Predicting Moisture Profiles in Potato and Carrot During Convective Hot Air Drying Using Isothermally Measured Effective Diffusivity, Journal of Food Engineering, 84 (2008), 4, pp. 516-525, 10.1016/j.jfoodeng.2007.06.009
[5] Batista, M. L., et al., Thin Layer Drying of Chitosan Considering the Material Shrinkage, Proceedings, 14th International Drying Symposium, Sao Paulo, Brazil, 2004, Vol. C, pp. 407-413
[6] Pinto, A. A., Tobinaga, S., Diffusive Model with Shrinkage in the Thin-Layer Drying of Fish Muscles, Drying Technology, 24 (2006), 4, pp. 509-516, 10.1080/07373930600612040
[7] Lecomte, D., et al., Method for the Design of a Contact Dryer-Application to Sludge Treatment in Thin Film Boiling, Drying Technology, 22 (2004), 9, pp. 2151-2172, 10.1081/drt-200034229
[8] Midilli, A., et al., A New Model for Single-Layer Drying, Drying Technology, 20 (2002), 7, pp. 1503-1513, 10.1081/drt-120005864
[9] Khankari, K. K., Patankar, S. V., Performance Analysis of a Double-Deck Conveyor Dryer – a Computational Approach, Drying Technology, 17 (1999), 10, pp. 2055-2067, 10.1080/07373939908917672
[10] 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, 10.1615/jpormedia.v14.i3.30
[11] 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, 10.1615/jpormedia.v14.i2.50
[12] 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, 10.1615/jpormedia.v12.i1.60
[13] Kiranoudis, C. T., et al., Dynamic Simulation and Control of Conveyor-Belt Dryers, Drying Technology, 12 (1994), 7, p. 1575-1603, 10.1080/07373939408962188
[14] Koop, L., et al., A Dynamic Two-Dimensional Model for Deep-Bed Drying of Mate Leaves (Ilex paraguariensis) in a Single-Pass/Single-Zone Conveyor-Belt Dryer, Drying Technology, 33 (2015), 2, pp. 185-193, 10.1080/07373937.2014.943236
[15] Pereira de Farias, R., et al., Drying of Grains in Conveyor Dryer and Cross Flow: A Numerical Solution Using Finite-Volume Method, Revista Brasileira de ProdutosAgroindustriais, Campina Grande, 6 (2004), 1, pp.1-16, 10.15871/1517-8595/rbpa.v6n1p1-16
[16] Milojević, D., Analysis of Heat and Mass Transfer of Convective Drying Process of Natural Products (in Serbian), M. Sc. thesis, University of Belgrade, Belgrade, Serbia, 1979
[17] Raković, A., Analysis of Drying Kinetics of Natural Products (in Serbian), M. Sc. thesis, University of Belgrade, Belgrade, Serbia, 1987
[18] Stakić, B. M, Numerical Study on Hygroscopic Capillary-Porous Material Drying in Packed Bed, Thermal Science, 4 (2000), 2, pp. 89-100
[19] Salemović, D., Mathematical Modeling, Simulation and Identification of Drying Process of Natural Products in Striped Drying Chamber (in Serbian), Ph. D. thesis, University of Belgrade, Belgrade, Serbia, 1999
[20] Dedić, A., Simplifying Convective Heat and Mass Transfer in Moisture Desorption of Oak Wood by Introducing Characteristic Transfer Coefficients, HolzalsRoh und Werkstoff, 58 (2000), 1-2, pp. 96-101
[21] 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, 10.1081/drt-120017280
[22] Dedić, A., et al., Modelling the Process of Desorption of Water in Oak [QuercusRobur] Wood, Holzforschung, 58 (2004), 3, pp. 268-273
[23] Dedić, A., Determination of Coefficients in the Analytical Solution of Coupled Differential Equations of Heat and Mass Transfer During Convective Drying of Heat-treated Wood, Journal of Porous Media, 15 (2012), 1, pp. 75-82, 10.1615/jpormedia.v15.i1.60
[24] Dedić, A., Genić, S., Modelling of the Coupled Process of Heat and Mass Transfer During Convective Drying of Capillary-Porous Anisotropic Materials (in Serbian), Monograph, University of Belgrade, Belgrade, Serbia, 2015
[25] Filonenko, K. А., et al, Sushka Pishchevikov Rustitel’nykh Materialov (Drying Plants for Vegetables – in Russian), Pishchevaya promyshlenost, Moscow, 1971
[26] 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, 10.1201/9781420017618.ch3
[27] Eckert, E. R. G., Drake, R. M., Analisys of Heat and Mass Transfer, McGraw-Hill, New York, USA, 1972
PDF VERSION [DOWNLOAD]
Two-dimensional mathematical model for simulation of the drying process of thick layers of natural materials in a conveyor-belt dryer

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence