An equation is derived for the limit burning velocity for divergent, spherical propagation from an ignition kernel. These formulations are equivalent to the fluid dynamic concepts of Damkohler, Karlovitz, and Markstein. Existing data for blowoff limits give excellent agreement with those concepts provided that proper account is taken of the two dilution effects: composition dilution caused by entrainment and velocity gradient dilution caused by flow expansion. Approximate flow-field solutions are also derived for the unburned gas motion above an upward propagating, spherical flame kernel in buoyancy-induced flows.