Fixed-bed drying simulation of agricultural products using a new backward finite difference scheme. (English) Zbl 1139.92025
Summary: This work is concerned with the numerical simulation of fixed-bed corn drying using the MSU (Michigan State University) drying model. The classical numerical procedure for the MSU model relies on an explicit method of finite differences which requires certain stability conditions between the step sizes of the time and space variables. The objective of the present paper is to establish a stable implicit method based on backward finite differences, in both time and space variables, which takes into account some specific empirical aspects of the problem. Computational results illustrate the efficiency and the flexibility of method.
MSC:
| 92D40 | Ecology |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65C20 | Probabilistic models, generic numerical methods in probability and statistics |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
References:
| [1] | ASBAE Standards, St. Joseph, MI, USA, 2005, p. 615.; ASBAE Standards, St. Joseph, MI, USA, 2005, p. 615. |
| [2] | Brooker, D. B.; Bakker-Arkema, F. W.; Hall, C. W., Drying and Storage of Grains and Oilseeds (1992), AVI Publishing Co.: AVI Publishing Co. NY, p. 238 |
| [3] | Martins, J. H., Simulação de secagem de milho em camadas fixas. Simulação de secagem de milho em camadas fixas, Dissertation (Master Degree) (1982), Federal University of Viçosa: Federal University of Viçosa Viçosa, MG, Brazil, p. 65 |
| [4] | Misra, M. K.; Brooker, D. B., Thin layer drying and rewetting equations for shelled yellow corn, Transactions of the ASAE, 23, 1254 (1980) |
| [5] | Page, G. E., Factors influencing the maximum rate of drying shelled corn in layers. Factors influencing the maximum rate of drying shelled corn in layers, Dissertation (Master of Science) (1949), Purdue University: Purdue University West Lafayette, IN, USA |
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