PHYSICAL AND MATHEMATICAL MODELING OF TEMPERATURE FIELDS BY HEAT EXCHANGE FOR THE SOLIDS OF FINITE SIZE
Journal Title: Прогресивні техніка та технології харчових виробництв ресторанного господарства і торгівлі - Year 2016, Vol 1, Issue
Abstract
The problems of energy efficiency of heat and mass transfer processes, including drying, can be solved by the analysis of experimental data and by physical and mathematical (theoretical) modeling. The last, anyway, should be compared with the experiment to refine the model and its approach (adaptation) to technical solutions. In particular, during drying of colloidal capillary-porous bodies, which include the majority of food raw materials, it is necessary to record and analyze temperature distribution, which affects both the drying process and the finished product’s quality. It is necessary to specify the conditions of the experiment and its methods so that the recorded data allow analyzing thermal properties of the dehydrated material and scientifically justify rational modes and methods of drying. In this paper the mathematical model of heat transfer in the solid of finite size is proposed in a form of non-stationary heat equation, initial conditions and basic types of boundary conditions. The exact solution for any type of boundary conditions is analyzed. Numerical example of the model realization is considered. The best conditions for the approximation of the exact solution, provided as a series, its first expansion member are obtained.
Authors and Affiliations
Микола Погожих, Лариса Пархоменко, Єгор Іштван
Keywords
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