Scientific journal

62 2023

Journal of Food and Nutrition Research
Summary No. 4 / 2023

Bardavelidze, A. – Bardavelidze, Kh. – Sesikashvili, O.
Mathematical model of the static mode of tunnel dehydrator for fruits as a controlled object
Journal of Food and Nutrition Research, 62, 2023, No. 4, s. 305-313

Otari Sesikashvili, Department of Mechanical Engineering, Faculty of Engineering – Technical, Akaki Tsereteli State University, 59 Tamar Mepe Str., 4600 Kutaisi, Georgia. E-mail:

Original article
Received 10 March 2023; 1st revised 8 July 2023; accepted 4 August 2023; published online 12 September 2023

Summary: In the study, based on the analysis of technological process of drying apricots in a tunnel-type dehydrator, the main mode parameters, control variables of the object and disturbing factors were determined. With the heat-mass exchange equations and control charts of the dried product, with established distribution of the temperature and moisture content of the drying agent, taking into account certain assumptions and initial conditions, a system of ordinary differential equations with distributed parameters for convective drying of fruits in a tunnel-type dehydrator was established. In the system of process heat-mass exchange equations, the drying coefficient in the first and second periods and heat exchange coefficient were determined as a result of identification. The solution of the problem of determining these parameters was reduced to the solution of the minimization problem of the criterion for evaluating the quality of the mean square deviation between the solutions of experimental and heat-mass exchange equations results of the apricot drying process. The dependence curves between the equilibrium moisture content of apricots and relative moisture content of the working agent as well as the temperature obtained as in experimental and theoretical studies of the drying process allowed us to judge the adequacy of the developed mathematical model at 95–98 %.

Keywords: tunnel dehydrator; mathematical model; drying rate; drying agent; moisture content

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