In order to reveal the temperature distribution of the frictional interface mechanical seals

the end face morphology of mechanical seals was characterized by fractal parameters. According to re-established contact deformation model of the micro-convex body

the fractal model of the maximum temperature and the temperature distribution of mechanical seals were established by heat exchange and probability theory. With numerical methods its maximum temperature

temperature distribution and influence factors were analyzed. The highest temperature of frictional interfaces increased linearly with increasing rotating speed when fractal dimension was constant. But the highest temperature of frictional interfaces decreased nonlinearly with increasing fractal dimension when rotating speed was constant. Dimensionless maximum contact temperature also increased as dimensionless characteristic scale was larger. When lubricant film vaporization temperature was known

the real contact area of the non-normal lubrication part could be calculated by using the temperature distribution density function

providing foundation for further research on wear and heat damage and had great significance both in operating and design of contacting mechanical seals.