Modeling of Heat Transfer in Controlled Processes for Cylindrical Bodies

Reliable modeling is needed when different control strategies are applied to distributed parameter systems, see Butkovsky (1969); Chernousko et al. (1996). Problems of heat transfer control for different simple bodies like cylinders, rods, and bars were recently considered in a large number of papers, e.g., in Kersten et al. (2014); Rauh et al. (2015a,b). In Kostin et al. (2017), an optimal control of the heating of a metal bar was presented. The current paper considers modeling the active heating of a cylindrical body. The cylinder may be aligned either vertically or horizontally. Two Peltier elements provide heat fluxes on both ends of this body. A corresponding experimental setup is available at the Chair of Mechatronics, University of Rostock, Germany. Experimental results obtained from this test rig are used for the identification of the system parameters. Simulations with the identified parameters match the measurements with high accuracy.