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A MATHEMATICAL MODEL OF A REGENERATIVE HEAT EXCHANGER 
AS AN OBJECT CONTROLLED VIA THE OUTLET TEMPERATURE 
OF ONE OF THE HEAT CARRIERS


I.A. Gulimovskiy                                                                           brotdieb@yandex.ru 
Bauman Moscow State Technical University, Moscow, Russian Federation


Abstract 
We developed a detailed linear mathematical model of a regenerative heat exchanger as an object controlled via the outlet temperature of one of the heat carriers. We validate the heat carrier bypass position during the adjustment process. A combination of heat energy accumulators represents the heat exchanger: two heat carriers and the structural material of the heat exchanger. For each heat energy accumulator we derive differential equations and transfer functions based on the dynamic energy balance equations. We compiled a schematic diagram of the heat exchanger containing the transfer functions obtained. The heat exchanger model developed should be used for calculating the parameters of an automatic temperature control system.

Keywords: heat exchanger, controlled object, mathematical model, transfer functions, bypass 

Gulimovskiy I.A. — student, Department of Thermal Physics, Bauman Moscow State Technical University, Moscow, Russian Federation. 
Scientific advisor — A.G. Kuznetsov, Dr. Sc. (Eng.), Professor, Department of Thermal Physics, Bauman Moscow State Technical University, Moscow, Russian Federation.