Temperature in a Rotating Ring Subject to Frictional Heating from Two Stationary Pins

ABSTRACT

The purpose of this article is to establish a partitioning heat ratio between two stationary cylindrical pins and a rotating ring. The mixed quasi-stationary heat conduction problem for the ring is solved. The fast-moving heating on the external surface of the ring due to two rotating locally distributed heat flows is considered. The heat conduction from the sliding contact zones in the axial direction of the ring, as well as the heat convection from the sides, external, and internal surfaces of the ring are taken into account. The solution of this problem is obtained by using a finite Fourier transformation. The solution of the steady heat conduction problem for the semi-infinite pins which are heated up at end faces taking account of cooling from lateral sides is known. By matching the average temperatures of the ring and the pins in the contact regions, the coefficients of the heat distribution between them is found. The influence of the circumferential distance between the pins and the ratio of the intensities of the frictional heat flows on the surface temperature is studied.