The purpose of the thesis is to numerically evaluate the effect varying the solid fuel thermal conductivity has on the flame spread rate in an opposed flow microgravity environment. The computational fluid dynamics model written in Fortran language was developed by Dr. Bhattacharjee. The work encompasses understanding the effect of varying the solid fuel conductivity in all three regimes, i.e. radiative, thermal and kinetic regime. Specific opposed flow velocity was chosen for the three regimes. Additionally, domain and grid studies were executed to adequately capture the flame structure as well as the heat fluxes into the solid fuel prior to investigating the effect of the solid fuel conductivity. Polymethyl Methacrylate hereby denoted PMMA, was the fuel source evaluated. Parameters such as the flame spread rate, vapor temperature, flame temperature, solid fuel temperature and contribution of the forward solid conduction were used to evaluate the effect of varying the solid fuel conductivity. Results collected were compared back to the baseline case established by using the solid phase thermal properties of PMMA for all three regimes. The solid fuel conductivity was incrementally increased by a factor of five, till 15x the baseline conductivity case. Outcome from the studied, highlighted both the thermal and radiative regime didn’t exhibit an influence when varying the solid fuel conductivity. However, at a very low near flame extinction opposed flow velocity in the radiative regime, a noticeable response was observed for varying the solid fuel conductivity. In the kinetic regime varying the solid fuel conductivity resulted in the flame spread rate increase. A length scaling was introduced to formulate non-dimensional representation explaining the result collected. It should be noted, in the kinetic regime at very high opposed flow velocity the data collected near flame extinction deviated from the trend observed at lower kinetic regime opposed flow velocity. This anomaly was repeated for other fuel thicknesses to eliminate potential computational errors.