Abstract
Coherent structures and mixing in the flow field of a jet in crossflow have been studied using computational (large eddy simulation) and experimental (particle image velocimetry and laser-induced fluorescence) techniques. The mean scalar fields and turbulence statistics as determined by both are compared for circular, elliptic, and square nozzles. For the latter configurations, effects of orientation are considered. The computations reveal that the distribution of a passive scalar in a cross-sectional plane can be single- or double-peaked, depending on the nozzle shape and orientation. A proper orthogonal decomposition of the transverse velocity indicates that coherent structures may be responsible for this phenomenon. Nozzles which have a single-peaked distribution have stronger modes in transverse direction. The global mixing performance is superior for these nozzle types. This is the case for the blunt square nozzle and for the elliptic nozzle with high aspect ratio. It is further demonstrated that the flow field contains large regions in which a passive scalar is transported up the mean gradient (counter-gradient transport) which implies failure of the gradient diffusion hypothesis.
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Yuan, L., Street, R., Ferziger, J.: Large-Eddy simulation of a round jet in crossflow. J. Fluid Mech. 379, 71–104 (1999)
Gutmark, E., Grinstein, F.: Flow control with noncircular jets. Ann. Rev. Fluid Mech. 31, 239–272 (1999)
Yuan, L., Street, R.: Trajectory and entrainment of a round jet in crossflow. Phys. Fluids 10(9), 2323–2335 (1998)
Ibrahim, I., Murugappan, S., Gutmark, E.: Penetration, mixing and turbulent structures of circular and non-circular jets in cross flow, AIAA-2005-0300. In: 43th AIAA Aerospace Science Meeting Proceedings, AIAA (2005)
Pratte, B., Baines, W.: Profiles of the round turbulent jet in a cross flow. J. Hydraul. Div. ASCE 92(HY6), 53–64 (1967)
Kelso, R., Smits, A.: Horseshoe vortex systems resulting from the interaction between a laminar boundary layer and a transverse jet. Phys. Fluids 7(1), 153–158 (1995)
Fric, T., Roshko, A.: Vortical structure in the wake of a tranverse jet. J. Fluid Mech. 279, 1–47 (1994)
Joeng, J., Hussain, F.: On the identification of a vortex. J. Fluid Mech. 285, 69–94 (1995)
Smith, S., Mungal, M.: Mixing, structure and scaling of the jet in crossflow. J. Fluid Mech. 357, 83–122 (1998)
Kelso, R., Lim, T., Perry, A.: An experimental study of round jets in cross-flow. J. Fluid Mech. 306, 111–144 (1996)
Muppidi, S., Mahesh, K.: Study of trajectories of jets in crossflow using direct numerical simulations. J. Fluid Mech. 530, 81–100 (2005)
Kamotani, Y., Greber, I.: Experiments on confined jets in cross flow. Tech. Rep. CR-2392, NASA (1974)
Haven, B., Kurosaka, M.: Kidney and anti-kidney vortices in crossflow jets. J. Fluid Mech. 352, 27–64 (1997)
Liscinsky, D., True, B., Holdeman, J.: Crossflow mixing of noncircular jets. J. Propuls. Power 12(2), 225–230 (1996)
Su, L., Mungal, M.: Simultaneous measurements of scalar and velocity field evolution in turbulent crossflowing jets. J. Fluid Mech. 513, 1–45 (2004)
Smagorinsky, J.: General circulation experiments with the primitive equations. Mon. Weather Rev. 91(3), 99–152 (1963)
Bardina, J., Ferziger, J., Reynolds, W.: Improved subgrid scale models for large Eddy simulation, AIAA-80-1357. In: 13th Fluid and Plasma Dynamics Conference, AIAA (1980)
Germano, M., Piomelli, U., Moin, P., Cabot, W.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760–1765 (1991)
Fureby, C., Grinstein, F.: Large Eddy simulation of high-reynolds free and wall-bounded flows. J. Comp. Phys. 181, 68–97 (2002)
Kravchenko, A., Moin, P.: On the effect of numerical errors in large Eddy simulations of turbulent flows. J. Comp. Phys. 131, 310–322 (1997)
Ghosal, S.: An analyis of numerical errors in large-Eddy simulations of turbulence. J. Comp. Phys. 125, 187–206 (1996)
Olsson, M., Fuchs, L.: Large eddy simulation of a forced semiconfined circular impinging jet. Phys. Fluids 10(2), 476–486 (1998)
Gullbrand, J., Chow, F.: The effect of numerical errors and turbulence models in large-Eddy simulations of a channel flow, with and without explicit filtering. J. Fluid Mech. 495, 323–341 (2003)
Jiang, G.-S., Shu, C.-W.: Efficient implementation of weighted ENO schemes. J. Comp. Phys. 126, 202–228 (1996)
Salewski, M., Stankovic, D., Fuchs, L., Gutmark, E.: Coherent structures in circular and non-circular jets in crossflow, AIAA-2006-0907. In: 44th AIAA Aerospace Science Meeting Proceedings, AIAA (2006)
Fearn, R., Weston, R.: Vorticity associated with a jet in a cross flow. AIAA J. 12(10), 1666–1671 (1974)
Pope, S.: Ten questions concerning the large-eddy simulation of turbulent flows. New J. Phys. 6(35), 1–24 (2004)
Kamotani, Y., Greber, I.: Experiments on a turbulent jet in a cross flow. AIAA J. 10(11), 1425–1429 (1972)
Priére, C., Gicquel, L., Kaufmann, P., Krebs, W., Poinsot, T.: Large Eddy simulation predictions of mixing enhancement for jets in cross-flows. J. Turbulence 5(005), 1–24 (2004)
Pope, S.: Turbulent Flows. Cambridge University Press (2000)
Holmes, P., Lumley, J., Berkooz, B.: Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press (1996)
Berkooz, G., Holmes, P., Lumley, J.: The proper orthogonal decomposition in the analysis of turbulent flows. Ann. Rev. Fluid Mech. 25, 539–575 (1993)
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Salewski, M., Stankovic, D. & Fuchs, L. Mixing in Circular and Non-circular Jets in Crossflow. Flow Turbulence Combust 80, 255–283 (2008). https://doi.org/10.1007/s10494-007-9119-x
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DOI: https://doi.org/10.1007/s10494-007-9119-x