Fluid flow and heat transfer plays an important role in Electron Beam Cold Hearth Re-melting (EBCHR or EB Re-melting) process. Because of the asymmetry in geometry of the processing equipment, fluid flow is asymmetrical in the mold which harms the pool sump, the solidification shell and the quality of ingot. Three-dimensional unsteady state model has been built to describe fluid flow and solidification during EBCHR of titanium slab. Mixed Lagrange and Euler (MiLE) method was applied to investigate the unsteady state solidification process. Inhomogeneous surficial power inputs were employed to adjust the fluid flow, temperature distribution and sump shape. The results showed that the surficial mean velocity of fluid descends along the mold centerline and equals to zero when the forced flow encounters the backward flow in the zone away from the inlet. Heat concentration forms in the zone of low surficial fluid velocity. High density power input in the zone near the inlet is efficient to adjust the symmetry of pool sump during EBCHR process.