The unstrained one-dimensional diffusion flame has often served as an idealized construct for theoretical modelling. The idealized burner in these studies is supplied with one reactant from the bottom through a "semi-permeable plate" (impermeable in the downward direction). The other reactant diffuses from the top of the chamber to the flame, against the upward flow of products. The supply of both reactants is assumed to be uniform over the burner cross section such that the velocity, which is upwards everywhere, and all other physical quantities depend only on the (vertical) coordinate normal to the planar flame. Since the uniform supply of the reactant diffusing against the bulk flow is a major experimental problem, laboratory investigations of non-premixed flames have until now been limited to burners with non-uniform conditions over the flame surface.
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