MATHEMATICAL INTERPRETATION OF DYNAMICS OF TEMPERATURE CHANGE DURING DRYING OF HOT MONODISPERSE LAYER OF ORGANIC RAW MATERIALS
Keywords:drying, mathematical model of heat transfer, thermal energy, monodisperse layer.
AbstractThis work is devoted to the study of the heat exchange process of drying and its mathematical interpretation, which is important both from the point of view of the theory of drying and its practical implementation. In this work, the drying process of hot candied fruit in a monodisperse layer was investigated. A technique for studying the filtration drying of a thermal agent through a hot monodisperse layer of rectangular particles was developed. The results of the dependence of the change in the temperature of the thermal agent over time and along the height of the candied fruit layer were obtained. The mechanism of heat and mass transfer in a hot monodisperse layer of rectangular particles was substantiated. It is proved that when drying in a stationary layer, there is simultaneously a dry layer of material with the temperature of a thermal agent, which accumulates thermal energy and a wet layer of material with a lower temperature value. The solution of the mathematical problem of temperature distribution along the height of a monodisperse layer is given. This allows you to: determine the temperature of thermal agent by height and time. There is an established mathematical model of the heat transfer process during drying based on the above solution. The basis of this solution: a heat source is evenly distributed in the material layer. The mathematical description of the temperature field in the layer is in dimensionless criteria and is an exponential dependence. The experimental results and calculation results are shown in the graphs. The calculation model is adequate, the error between the experimental and theoretical data does not exceed 7 %. The adequacy of the model is established for small values of dimensionless heights. Good agreement between the calculated and experimental results allows us to determine the temperature distribution along the height of the monodispersed layer, using various ratios. This is important for predicting the drying process and for calculating new energy-saving drying technologies.
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http://dx.doi.org / 10.13044/j.sdewes.d6.0249
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