Combustion phenomena in a sub-millimeter scale combustor were modeled and simulated. With an advent of MEMS devices, needs for power sources with energy density higher than that of conventional batteries have arisen. As an alternative, internal combustion engines drawing power from thermal energy released by combustion of fuels are being considered. However existing measurement tools on combustion processes are not adequate for applications in sub millimeter scale combustors. So data except pressure is very difficult to obtain with experiment. In the present study, the heat loss effect is modeled from transient pressure data. And the flame propagation is simulated with considering the heat loss model. The heat loss effect on available energy of the combustor is investigated from this result. Also quenching characteristics of laminar flame for Hydrogen/Air mixture are investigated. One-dimensional axis-symmetric, laminar chemically reacting flows are assumed. For fuel and oxidizer (Hydrogen/Air mixture), a detailed chemical reaction model of 16 reaction steps with 10 species and a detailed mixture transport properties are used. Numerical solutions are obtained with the PISO method, which is a non-iterative method for the solution of the time-dependent, implicitly discretised fluid flow equations by operator-splitting.