An approximate one-dimensional analytic model is presented for the propagation of a laminar pre-mixed flame, and the diffusive burning of a condensed phase. Zero-order Arrhenius kinetics is used to describe the burning rate. Extinction of the pre-mixed and the diffusion flame systems is graphically illustrated to show the critical condition in terms of heat loss and the net generation of energy. The analysis is meant to be tutorial, and to serve as an indication of the similarity of extinction in the two systems. An example, using n-heptane as the fuel is given.

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