Radial jet mixing of pure air into a fuel-rich, reacting cross ow con ned to a cylindrical geometry is addressed with a focus on establishing an optimal number of jet ori ces. Note that the optimum would not be expected to be universal. That is, the optimum mixer that one would identify will depend on both the momentum-ux ratio and an axial distance appropriate to the application.The number of round holes that most ef ciently mixes the jets with the mainstream ow, and thereby minimizes the residence time of near-stoichiometric and unreacted packets, was determined. Such a condition might reduce pollutant formation in axially staged, gas turbine combustor systems. Five different con gurations consisting of 8, 10, 12, 14, and 18 round holes are reported. An optimum number of jet ori ces is found for a jet to mainstream momentum-ux ratio J of 57 and a mass-ow ratio (MR) of 2.5. For this condition, the 14-ori ce case produces the lowest spatial unmixedness and the most uniformly distributed species concentration and temperature pro les at a plane located an axial distance equal to one duct diameter from the jet ori ce inlet. Note that this is the same con guration that would be identi ed from non-reacting experiments.
Nomenclature d= ori ce axial length, or round hole diameter J = jet to mainstream momentum-ux ratio, (qV 2 ) jets / (qV 2 ) main MR = jet to mainstream mass-ow ratio, (qVA) jets / (qVA) main n = number of round holes in quick-mix module R = radius of the quick-mix module r = radial distance from the module center T = ow eld temperature T jet = average temperature of the jets T main = average mainstream temperature at a plane one duct radius upstream of the jets U s = spatial unmixedness V = velocity V ref = reference velocity de ned at nonreacting inlet conditions x = axial distance from the leading edge of the ori ces q = density u = equivalence ratio, (fuel/air) local /(fuel/air) stoichiometric
Introduction
VARIOUS systems, such as fuel injection and exhaust temperature control processes, rely on a rapid and thorough jet mixing with a cross ow of gas to mix streams of uid. Jet mixing in a cross ow, in fact, may play a fundamentalrole in the next generation of low-pollutant-emittingengines such as the rich-burn/quick-mix/ lean-burn (RQL) combustion concept. The success of this combustor over conventional gas turbine combustors in lowering pollutant production depends on the mixing section between the fuel-rich (u > 1) and fuel-lean (u < 1) stages of combustion. In this combustor design, the jets of air introduced through the quick-mixing section mix with the rich reacting cross ow as quickly as possible to bring the reaction to an overall lean equivalenceratio. The formation of various pollutants is driven by high temperaturesattained in near- stoichiometric reactions. Therefore, the strategy in this combustor design lies in minimizing the lifetime of, as well as preventing the formation of, near-stoichiometric uid packets. As passing through stoichiometric regions is inevitable, rapid mixing reduces ...