Reacting and non-reacting, three-dimensional shear layers with spanwise stretching

A three-dimensional, steady, laminar shear-layer flow spatially developing under a boundary-layer approximation with mixing, chemical reaction, and imposed normal strain is analyzed. The creates counterflow that stretches the vorticity in spanwise direction. equations are reduced to two-dimensional form for three velocity components. non-reactive reactive cases of governing solved numerically, consideration several parameter inputs such as Damk\"ohler number, Prandtl composition, free-stream ratios. analysis case focuses on mixing between hotter gaseous oxygen cooler propane. rate \kappa predicted by ordinary differential based upon pressure variation. One-step kinetics used describe diffusion flames multi-flame structures. has significant effect width downstream layers well burning rate. Asymptotically direction, constant shear layer obtained if constant. similar solution growing square root distance found when decreases reciprocal distance.