Dilution of flames with hot combustion products can be used to reduce harmful emissions. However, diluted flames can combust as auto-ignitive, premixed or non-premixed flames, and are therefore challenging to model. The interaction of diluted flames with walls can impact exhaust emissions, and these effects are not well explored in the literature. Direct Numerical Simulation (DNS) can provide more insights into this phenomenon and aid the development of more accurate models. However to achieve this, inlet boundary conditions must ensure that imposed temperature and velocity profiles take into account the presence of walls. This paper will present a methodology to establish the inflow boundary conditions for a flame in a duct which are representative of coupled velocity and thermal boundary layers. The performance of this methodology will be assessed in a DNS of a diluted flame.