Abstract
To study the change of Reynolds number, contact angle and Capillary number in mold-filling process, we simulating a Horizontal flow field and the temperature field. In this study, the least squares method is used to find the circle closest to the free surface, and the reciprocal of the radius of the circle is taken as the curvature of the free surface and divided by the capillary number as the pressure of the free surface to calculate the flow field. Using the energy equation to calculate the temperature field, and then solve the heat transfer distribution on the plate. The influence of temperature field and heat transfer has the greatest effect on Reynolds number, and the contact angle and capillary number have little effect on them. The heat transfer near the free surface will be slightly increased.