Abstract
The aim of this work is to propose a mathematical formula describing the temperature distribution in the inking unit of the offset printing machine caused by the phenomenon of friction between the cylinders that remain in contact, namely between pairs of inking rollers. Those rollers are made of different materials, one is made of steel and the other is covered with rubber. Moreover, beside the circular motion, the steel roller moves in a reciprocating way along the cylinder pivot. This paper describes a model of cooling of a thermostatted roller in the offset printing machine. The described analytical solution of thermal conduction for a two-layer cylinder has been achieved with the Laplace transform. Additionally, the paper contains an analysis of heat partition coefficient for the cylindrical layers.
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