Single jet mixing at arbitrary angle in turbulent tube flow

An asymptotic procedure is presented to evaluate the tracer trajectory in a two-stream turbulent pipe mixing unit with an oblique branch. The proposed mixing jet trajectory estimate near the injection point is compared with t he existing experimental data and used to calculate the critical mixing con figurations. In addition, it is shown that the well-known tracer jet profil e can be recovered for the case of a normally issued tracer turbulent.