Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-13T01:44:44.687Z Has data issue: false hasContentIssue false
  • English
  • Français

Direct numerical simulation of round turbulent jets in crossflow

Published online by Cambridge University Press:  15 February 2007

SUMAN MUPPIDI  and
KRISHNAN MAHESH
SUMAN MUPPIDI
Affiliation:
Aerospace Engineering and Mechanics Department, University of Minnesota, Minneapolis, MN 55455, USA
KRISHNAN MAHESH
Affiliation:
Aerospace Engineering and Mechanics Department, University of Minnesota, Minneapolis, MN 55455, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Direct numerical simulation is used to study a round turbulent jet in a laminar crossflow. The ratio of bulk jet velocity to free-stream crossflow velocity is 5.7 and the Reynolds number based on the bulk jet velocity and the jet exit diameter is 5000. The mean velocity and turbulent intensities from the simulations are compared to data from the experiments by Su & Mungal (2004) and good agreement is observed. Additional quantities, not available from experiments, are presented. Turbulent kinetic energy budgets are computed for this flow. Examination of the budgets shows that the near field is far from a state of turbulent equilibrium – especially along the jet edges. Also – in the near field – peak kinetic energy production is observed close to the leading edge, while peak dissipation is observed toward the trailing edge of the jet. The results are used to comment upon the difficulty involved in predicting this flow using RANS computations. There exist regions in this flow where the pressure transport term, neglected by some models and poorly modelled by others, is significant. And past the jet exit, the flow is not close to established canonical flows on which most models appear to be based.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 574 , 10 March 2007 , pp. 59 - 84
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Acharya, S., Tyagi, M. & Hoda, A. 2001 Flow and heat transfer predictions for film-cooling. Ann. NY Acad. Sci. 934, 110–125.CrossRefGoogle ScholarPubMed
Andreopoulos, J. & Rodi, W. 1984 Experimental investigation of jets in a crossflow. J. Fluid Mech. 138, 93–127.Google Scholar
Babu, P. & Mahesh, K. 2004 Upstream entrainment in numerical simulation of spatially evolving round jets. Phys. Fluid. 16, 3699–3705.CrossRefGoogle Scholar
Broadwell, J. E. & Breidenthal, R. E. 1984 Structure and mixing of a transverse jet in incompressible flow. J. Fluid Mech. 148, 405–412.Google Scholar
Chochua, G., Shyy, W., Thakur, S., Brankovic, A., Lienau, K., Porter, L. & Lischinsky, D. 2000 A computational and experimental investigation of turbulent jet and crossflow interaction. Numer. Heat Transfer, Part A 38, 557–572.Google Scholar
Demuren, D. K., Rodi, W. & Schonung, B. 1986 Systematic study of film cooling with a three-dimensional calculation procedure. Trans. ASME: J. Turbomach. 108, 124–130.Google Scholar
Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. & Nieuwstadt, T. M. 1994 Fully developed turbulent pipe flow: A comparison between numerical simulation and experiment. J. Fluid Mech. 268, 175–209.CrossRefGoogle Scholar
Fearn, R. L. & Weston, R. P. 1974 Vorticity associated with a jet in crossflow. AIAA J. 12, 1666–1671.Google Scholar
Fric, T. F. & Roshko, A. 1994 Vortical structure in the wake of a transverse jet. J. Fluid Mech. 279, 1–47.CrossRefGoogle Scholar
Hasselbrink, E. F & Mungal, M. G. 2001 Transverse jets and jet flames. Part 1. Scaling laws for strong transverse jets. J. Fluid Mech. 443, 1–25.CrossRefGoogle Scholar
Hoda, A. & Acharya, S. 2000 Predictions of a film coolant jet in crossflow with different turbulent models. Trans. ASME: J. Turbomach. 122, 558–569.Google Scholar
Garg, V. K. & Gaugler, R. E. 1997 Effect of coolant temperature and mass flow on film cooling of turbine blade. Intl J. Heat Mass Transfe. 2, 435–445.Google Scholar
Kamotani, Y. & Greber, I. 1972 Experiments on turbulent jet in a crossflow. AIAA J. 10, 1425–1429.Google Scholar
Karagozian, A. R. 1986 An analytical model for the vorticity associated with a transverse jet. AIAA J. 24, 429–436.Google Scholar
Keffer, J. F. & Baines, W. D. 1963 The round turbulent jet in a cross wind. J. Fluid Mech. 15, 481–496.Google Scholar
Kelso, R. M., Lim, T. T & Perry, A. E. 1996 An experimental study of round jets in cross–flow. J. Fluid Mech. 306, 111–144.Google Scholar
Kelso, R. M. & Smits, A. J. 1995 Horseshoe vortex systems resulting from the interaction between a laminar boundary layer and a transverse jet. Phys. Fluid. 7, 153–158.CrossRefGoogle Scholar
Krothapalli, A., Lourenco, L. & Buchlin, J. M. 1990 Separated flow upstream of a jet in a crossflow. AIAA J. 28, 414–420.CrossRefGoogle Scholar
Mahesh, K., Constantinescu, G. & Moin, P. 2004 A numerical method for large-eddy simulation in complex geometries. J. Comput. Phys. 197, 215–240.CrossRefGoogle Scholar
Margason, R. J. 1993 Fifty years of jet in crossflow research. In AGARD Symp. on a Jet in Cross Flow, Winchester, UK AGARD CP-534.Google Scholar
Moser, R. D., Kim, J. & Mansour, N. N. 1999 Direct numerical simulation of turbulent channel flow up to Re τ = 590. Phys. Fluid. 11, 943–946.Google Scholar
Muppidi, S. & Mahesh, K. 2005 Study of trajectories of jets in crossflow using direct numerical simulations. J. Fluid. Mech. 530, 81–100.CrossRefGoogle Scholar
Panchapakesan, N. R. & Lumley, J. L. 1993 Turbulence measurements in axisymmetric jets of air and helium. Part 1. Air jet. J. Fluid Mech. 246, 197–223.Google Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.CrossRefGoogle Scholar
Pratte, B. D. & Baines, W. D. 1967 Profiles of the round turbulent jet in a cross flow. J. Hydraul. Div., ASC. 92, 53–64.CrossRefGoogle Scholar
Rodi, W. & Mansour, N. N. 1993 Low Reynolds number k–ε modelling with the aid of direct simulation data. J. Fluid Mech. 250, 509–529.Google Scholar
Rogers, M. M. & Moser, R. D. 1994 Direct simulation of a self-similar turbulent mixing layer. Phys. Fluid. 129, 547–572.Google Scholar
Schlichting, H. T. 1968 Boundary Layer Theory. McGraw-Hill.Google Scholar
Schluter, J. U. & Schonfeld, T. 2000 LES of jets in crossflow and its application to a gas turbine burner. Flow Turbulence Combust. 65 (2), 177–203.CrossRefGoogle Scholar
Sherif, S. A. & Pletcher, R. H. 1989 Measurements of the thermal characteristics of heated turbulent jets in cross flow. Trans. ASME: J. Heat Transfe. 111, 897–903.CrossRefGoogle Scholar
Smith, S. H. & Mungal, M. G. 1998 Mixing, structure and scaling of the jet in crossflow. J. Fluid Mech. 357, 83–122.Google Scholar
Su, L. K. & Mungal, M. G. 2004 Simultaneous measurement of scalar and velocity field evolution in turbulent crossflowing jets. J. Fluid Mech. 513, 1–45.Google Scholar
Yuan, L. L. & Street, R. L. 1998 Trajectory and entrainment of a round jet in crossflow. Phys. Fluid. 10, 2323–2335.CrossRefGoogle Scholar
Yuan, L. L., Street, R. L. & Ferziger, J. H. 1999 Large-eddy simulations of a round jet in crossflow. J. Fluid Mech. 379, 71–104.Google Scholar