Abdulla A. Azamov     (Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan, Uzbekistan)
Mansur A. Bekimov     (Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan, Uzbekistan)


A simplified mathematical model of a rotary regenerative air pre–heater (RRAP) is suggested and studied based on the averaged dynamics of the heat exchange process between nozzles and a heat carrier (i.e. air or gas–smoke mixture). Averaging in both spatial coordinates and time gives a linear discrete system that allows deriving explicit formulas for determining the characteristics of the air heater and establishing some properties such as periodicity, stability, ergodicity and others.


Heat exchange, Cyclic process, Averaging, Linear discrete system, Stability, Ergodicity, Inverse problem

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