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A Vortex Model for Wall Flame Height

A two-dimensional vortex model is developed to describe flames on burning walls. The flame is considered a region of intense vorticity generation and is modeled by an equivalent vortex filament. Flame height is predicted by match ing the induced airflow to stoichiometric requirements based on wall mass loss rate or energy release rate. The vortex model predicts the same two-thirds power law relationship that has been determined from other approaches. The quantitative predicted height is within the published limits of experimental certainty.