The ignitability of a cold premixed combustible at the stagnation point of an isothermal hot surface is analyzed in the limit of large activation energy. Analytical solutions were obtained for the first order perturbation, resulting in explicit expressions for the heat transfer at the wall, the temperature and species profiles, and most importantly an ignition criterion which states that ignition is expected to occur when a suitably-defined Damköhler number exceeds unity. It is further demonstrated that this state corresponds to the case of zero heat transfer from the wall, which has been intuitively used in the past as the ignition criterion.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes