A Simple Method of Estimating the Vortex Intensity

Abstract

a catalytic [CKA(O) = 0] or noncatalytic [(daA/dY)(0) = 0] wall. While the values of CKA(0) and (daA/dY)(0) are determined by the degree of catalytic activity on the wall surface and the integrated effect of the gaseous-reaction rates across the entire boundary layer, the value of (daA/dY)(0) is directly influenced by the gaseous-reaction rates in the vicinity of the wall. Furthermore, since WA/P ^ £e ( 77300 ) w _ 2 for dissociation-recombination in air 2 the tendency of (daA/dY) to increase with Y for recombination-dominated reactions will be greater as the local pressure increases (being a maximum at the stagnation point), and will be most prominant at a given pressure for a recombination-rate temperature-dependence law that assumes o> > 2 for Tw > 300°K. The effect of the reaction-rate term on the temperature profile near the wall (Eq. 3) is opposite to the effect on OLA{ an inflection point in T( Y) will appear in the presence of dissociationdominated chemical nonequilibrium in the gas adjacent to the wall. This qualitative analogy with a pressure-gradient effect proves useful in the interpretation of the effects of dissociationrecombination reactions on the thermodynamic-state profile behavior in the boundary layer.