Abstract
The turbulent flow in spatially—developing round jets at low Reynolds numbers is simulated numerically in the first fifteen diameters. The simulations were started with the inviscid solution and small axisymmetric disturbances were introduced at the entrance section to accelerate the breakdown of the Kelvin-Helmholtz vortices. The development of the flow produced a rich variety of structures. The azimuthal instability of the vortex rings leads to tube-like structures which collapse into counter—rotating streamwise vortices that interact with the vortex pairing process. A passive scalar distribution also highlights the ring-braid region and reveals the severe straining of the braids near the jet axis and the formation of mushroom-like structures as a result of the counter—rotating nature of the streamwise vortices. A comparison with flow visualization experiments shows that the number of braid—like vortex structures is in agreement with the experiment.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beale, J.T., Kato, T. and Majda, A. (1984), “Remarks on the breakdown of smooth solutions for the 3-d Euler equations”, Comm. Math. Phys. 94, 61.
Boris, J.P. (1990), “Comments on subgrid turbulence models and large eddy simulations”, in Whither Turbulence? or Turbulence at the Crossroads (J.L. Lumley ed.), Lecture Notes in Physics vol. 357, Springer V., 344.
Call, C.J. (1992), “Particle Dispersion in Turbulent Shear Flows”, PhD Dissertation, UC Davis.
Dahm, W.J.A., Frieler, C.E. and Tryggvason, G. (1992), “Vortex structure and dynamics in the near field of a coaxial jet”, J. Fluid Mech. 241, 371.
Deardorff, J.W. (1970), “A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers.”, J. Fluid Mech. 41, 453–480.
Gutmark, E., Parr, T.P., Hanson-Parr, D.M. and Schadow, K.C. (1990), “Coherent and random structure in reacting jets”, Experim. in Fluids 10, 147.
Liepmann, D. (1991), “Streamwise vorticity and entrainment in the near field of a round jet”, Phys. Fluids A 3, 1179.
Liepmann, D. and Gharib, M. (1992), “The role of streamwise vorticity in the near-field entrainment of round jets”, J. Fluid Mech. 245, 643.
Lilly, D.K. (1967), “The representation of small scale turbulence in numerical experiments”, in Proc. IBM Scientific Computing Symposium on Environmental Sciences, IBM, White Plains, NY.
Martin, J.E. and Meiburg, E. (1991), “Numerical investigation of three-dimensionally evolving jets subject to axisymmetric and azimuthal perturbations”, J. Fluid Mech. 230, 271.
Mason, P.J. and Callen, N.S. (1986), “On the magnitude of the subgrid-scale eddy coefficients in large eddy simulation of turbulent channel flow”, J. Fluid Mech. 162, 439–462.
Melander, M.V., Hussain, F. andBasu, A. (1991), “Breakdown of a circular jet into turbulence”, Proc. 8th Symp. Turbulent Shear Flows, Munich, Germany, 15-5-1.
Mungal, M.G., Lozano, A. and Van Cruyningen, I. (1992), “Large-scale dynamics in high Reynolds number jets and jet flames”, Experim. in Fluids 12, 141.
Piomelli, U., Moin, P. and Ferziger, J.H. (1988) “Model consistency in the large eddy simulation of turbulent channel flow”, Phys. Fluids 31, 1884–1891.
Rai, M.M. and Moin, P. (1991), “Direct simulations of turbulent flow using finite-difference schemes”, J. Comput. Physics 96, 15.
Reynolds, W.C. (1990), “The potential and limitations of direct and large eddy simulations”, in Whither Turbulence? or Turbulence at the Crossroads (J.L. Lumley ed.), Lecture Notes in Physics vol. 357, Springer V., 210.
Smagorinski, J. (1963), “General circulation experiments with the primitive equations. I. The basic experiment.” Monthly Weather Review 91, 99–164.
Widnall, S.E. and Sullivan, J.P. (1973), “On the stability of vortex rings”, Proc. R. Soc. London A, 332, 335.
Yoda, M., Hesselink, L. and Mungal, M.G. (1991), “The temporal evolution of large-scale structures in the turbulent jet”, Proc. 8th Symp. Turbulent Shear Flows, Munich, Germany, 6–1–1.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, J.H., Lienau, J.J., Kollmann, W. (1995). Numerical Simulation of Low Re-Number Turbulence in Round Jets. In: Durst, F., Kasagi, N., Launder, B.E., Schmidt, F.W., Suzuki, K., Whitelaw, J.H. (eds) Turbulent Shear Flows 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78823-9_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-78823-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78825-3
Online ISBN: 978-3-642-78823-9
eBook Packages: Springer Book Archive