本文从结晶器壁内表面的假设出发，提出了一种新的摩擦计算模型，避免了求解温度场需测定铸件表面温度和热流的难题，同时，根据限制连续铸造速度的因素对无二次冷却情况下的小规格圆铸锭连续铸造极限速度进行了计算，计算值与实测值十分吻合。 In this paper, a new model of friction calculation is proposed based on the assumptions of the inner surface of the mold wall, which avoids the problem of determining the surface temperature and heat flow of the castings in order to solve the temperature field. In the meantime, according to the factors that limit the continuous casting speed, Case of small-scale continuous casting ingot casting speed limit was calculated, the calculated value is in good agreement with the measured value.