A powerful approach is developed to predict and optimize flow pattern
and to improve heat and mass transfer in vortex burners. New analytica
l solutions of the Navier-Stokes, heat, and diffusion equations are ob
tained, and the technique of matching asymptotic expansions is develop
ed. This allows us to describe complex swirling flows with recirculati
on zones and three-dimensional fields of temperature and concentration
. This approach helps In deducing the appropriate flow pattern, shape
and position of a flame front, heat transfer, and geometry of the vort
ex burner. Optimal parameters are found for flame stabilization and fl
ame-surface expansion, prolonging the residence time of the reactants
favorable for complete combustion. This approach greatly facilitates f
inding the optimum because it is much less laborious than computationa
l fluid dynamics methods and allows a wider parametric search.