Numerical results for non-isothermal flow injection under microgravity condition are reported in this paper. The numerical method, which combines the finite element method with a predictor/corrector scheme, is used to determine the transient flow field. The effects of surface tension are also considered in this study. The numerical simulations have covered a wide range of the governing parameters (i.e., 1 ≤ Pe ≤ 50, 0 ≤ St ≤ 10, and Ca = 1 and ∞). From the results obtained, it shows that gravitation has an important effect on the development of the flow front and required injection pressure. Although the surface tension effects may be insignificant for isothermal flow injection at Ca > 10, the effects become more important for non-isothermal flow injection at a higher Peclet number.