Abstract: Mutual coupling calculating method of average temperature and friction factor of end face for contact mechanical seal was studied. Simplifying the mechanical seal ring as equal cross-section equivalent cylinder, average temperature calculation equation of end face for contact mechanical seal was derived, and the method of simplifying the mechanical seal ring as equal cross-section equivalent cylinder was given. Friction factor calculation model of end face for mechanical seal was established based on fractal theory. Taking into account the mutual coupling relationship between average temperature and friction factor of end face, the calculation method of average temperature was proposed. Influence factors of average temperature for B104a-70 mechanical seal were analyzed by simulation. Average temperature of end face increased linearly with increasing spring pressure and sealant pressure, and increased approximately linearly with increasing rotating speed, and the smoother the end face, the better the linear relationship and the greater the increase. Average temperature of end face increased nonlinearly with increasing fractal dimension or decreasing characteristic length scale. The change of average temperature was small when end face was coarse. It increased rapidly with increasing fractal dimension or decreasing characteristic length scale when end face was smooth.

Key words: mechanical seal, surface, average temperature, friction factor, coupling calculation, fractals, simulation

摘要： 研究接触式机械密封端面平均温度与端面摩擦因数相耦合的计算方法问题。将机械密封环简化为等截面当量筒体，推导出了接触式机械密封端面平均温度的计算式，给出了密封环简化为当量筒体的具体方法；基于分形理论，建立了接触式机械密封端面摩擦因数计算模型。考虑端面平均温度与端面摩擦因数的相互耦合关系，提出了端面平均温度的具体计算方法。通过模拟计算，对B104a-70型机械密封端面平均温度的影响因素进行了分析。结果表明，端面平均温度随着弹簧比压或密封流体压力的增大，线性地增大；随着转速的增大，近似线性地增大，且端面越光滑，线性越好，增大的幅度也越大；随着端面分形维数的增大或特征尺度系数的减小，非线性地增大，当端面较粗糙时，端面平均温度的变化较小；当端面较光滑时，随着端面分形维数的增大或特征尺度系数的减小，端面平均温度迅速增大。

关键词: 机械密封, 表面, 平均温度, 摩擦因数, 耦合计算, 分形, 模拟