A two-dimensional elliptic computational fluid dynamics model of micro-combustors is solved to study the effects of wall\nthermal conductivity on homogeneous combustion characteristics of premixed methane-air mixtures. Numerical simulations\nwere carried out using detailed chemical reaction schemes, detailed species transport, and heat transfer mechanisms in the solid\nwall. We have found that the wall thermal conductivity is very important as they determine the upstream heat transfer, which is\nnecessary for flame ignition, and the material's integrity by controlling the existence of hot spots. Large transverse and axial\ngradients are observed even at these small scales under certain conditions. Regarding material lifetimes, higher wall thermal\nconductivities reduce the wall temperature gradients and hotspots and should be preferred.
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