Modeling of heat transfer in rotating hollow cylinders using thermal resistance

Thermal resistance circuits are widely used to model heat transfer in a stationary solid under steady state conditions in one or two dimensional systems. For a moving solid, the convection mode of heat transfer with the Eulerian/Lagrangian point of view can be considered to model the heat transfer. In this research, heat transfer through a rotating circular cylinder is investigated and modeled using the thermal resistance circuit. Heat enters the cylinder from a constant high temperature boundary at the outer or inner surfaces of the cylinder, respectively. The width of this boundary corresponds to angles 15, 30, 45, 60, 75, or 90 degrees. Heat is exited from the other side of the cylinder on its outer surface at the same angular width as the high temperature boundary. The effect of different parameters such as rotation speed, cylinder thickness and angular width of constant temperature boundaries is investigated. Different models of heat transfer as circumferential conduction, radial conduction, moving fin and semi-infinite are proposed to estimate the rate of heat transfer through the cylinder and a correlation has been proposed for each of them.