A Reynolds-Averaged Navier-Stokes (RANS) correction is described to account for a key effect of acoustic interaction near the end of the potential core for axisymmetric jets. Specifically, the Variable-Diffusion (Var-D) correction is formulated to mimic the effect of increased shear layer instability/motion near the end of the potential core by adjusting the local diffusion of k and . The proposed Var-D correction is initially evaluated for an unheated axisymmetric jet with a perfectly expanded jet Mach number of 0.5. Results for centerline velocity distribution and turbulent kinetic energy contours using commonly employed turbulence models (i.e. SST and k-) and k-with the Var-D correction are compared. Substantial improvement for prediction of potential core length, centerline velocity decay, and k field is demonstrated with the Var-D correction. The sensitivity of the proposed model to the closure coefficients associated with the correction is also examined using this cold subsonic jet case. Similar turbulence model performance comparisons are made for three other jets to evaluate the sensitivity of the correction to increased jet exhaust compressibility and heated jet flow conditions. The effect of the improved mean and turbulence field predictions obtained using the Var-D correction on farfield noise prediction is also evaluated using the JeNo acoustic analogy code, and shown to be negligible. Although the approach holds promise, the applicability of the Var-D correction is currently limited to round jets.
I. Nomenclature= decay rate exponent = diffusion factor limit = dissipation of turbulent kinetic energy k = turbulent kinetic energy
II. IntroductionDespite the routine use Reynolds-averaged Navier-Stokes (RANS) techniques for analysis of aerospace systems, the accurate prediction of nozzle and jet flows remains an area of needed improvement. Turbulence modeling remains the pacing item limiting the accuracy of jet flow predictions. Further, for aeroacoustics analysis, both the mean flow and turbulence state are important for assessment of noise emitted by jets under consideration. While Large-Eddy Simulation (LES) offers promise for the future by resolving the large-scale unsteady turbulent motion, this technique is currently prohibitively expensive computationally for realistic, high Reynolds number flows. Hence, RANS approaches will be required for the foreseeable future. As a result, there is still a need for work in the area of RANS turbulence modeling for jets, including turbulence model development to more accurately calculate developing jet flow features, as well as for comprehensive assessment of modeling advances to determine capabilities and limitations.Effective use of RANS computational fluid dynamics (CFD) in nozzle aeroacoustics investigations requires accurate simulation of both the mean flow and turbulent kinetic energy fields. Capturing the initial jet growth region remains a difficulty. There are many examples of subsonic jet potential core length underprediction in the literature. For ...