The analysis of the heat distribution between a stationary pin and rotating ring was considered. To solution of the governing quasi-stationary heat conductivity equation the finite Fourier transform was used. The convective cooling from outer and internal surface of the ring as the boundary conditions were considered. The ring surface temperature, the average temperature on the ring surface and the heat distribution coefficient for the studied system were determined. The numerical results for the temperatures and heat distribution coefficient which demonstrated the effects of the Biot number and internal radius of the ring on them, were presented. List of symbols Ring AArea of the heating zone (m 2 ) Bi = h R/K Dimensionless Biot number associated with the external surface of the ring Bi 0 = h 0 R/K Dimensionless Biot number associated with the internal surface of the ring Bi = h R/K Dimensionless Biot number associated with the sides of the ring h Heat transfer coefficient on external surface of the ring (Wm −2 K −1 ) h 0 Heat transfer coefficient on the internal surface of the ring, (Wm −2 K −1 ) hHeat transfer coefficient on the sides of the ring (Wm −2 K −1 ) k Thermal diffusivity (m 2 s −1 ) K Thermal conductivity (Wm −1 K −1 )Intensity of the heat flow into the ring (Wm −2 ) Q = q A Total rate of friction heat directed into the ring supply from area A (W) rRadial coordinate (m) R External radius (m) R 0Internal radius (m) T Temperature rise ( • C) T

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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.

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