Prediction of a Three-Dimensional Circular Turbulent Jet in Crossflow

A quasi-three-di mensional integral method is used to solve the problem of the isothermal incompressible turbulent jet. The jet is submerged and is circular at its origin. The mathematical model is based on two integral momentum equations, one written for a direction parallel to the jet centerline and the other for a direction perpendicular to the centerline. For their solution, the entrainment rate into the jet is determined as the linear combination of a modified straight jet entrainment and the entrainment into a vortex pair. The family of velocity profiles required for the integration of the momentum equations is three-dimensional. The profiles are determined along the jet centerline on the basis of the distorted jet cross sections, thus being nonsimilar. The mathematical model is numerically solved, yielding the internal jet flowfield. Results are compared to experiments with different injection velocity to crossflow velocity ratios and with different injection angles. Agreement between theory and experiment is found to be satisfactory in some cases and good in others.