Abstract
In recent years, a lot of experimental and computational work was done to study the effect of compressibility on turbulent free flows. In particular, the supersonic mixing layer was extensively studied (see (Lele, 1994) for a review). Despite all these efforts it seems that, at this time, nobody knows yet what is the real mechanism which creates the compressiblity effects observed on supersonic free flows like mixing layers or jets. It has been observed by many experimentalists that the turbulent intensity is decreased while increasing compressibility. Different authors tried to explain this fact in order to be able to take in account these effects in modelling such flows. For example Zeman (1990) and Sarkar et al. (1989) both proposed a model based on an extra dissipation due to dilatation to explain the observed decrease of turbulent activity in high speed flows. Applications of such models to mixing layer computations described qualitatively the flow but the results are not accurate enough to make these models available for practical applications (Sarkar & Balakrishnan, 1990). Trying to understand what the real differences are between compressible and incompressible turbulence seems to be an interesting first step to increase our knowledge. So, we decided to measure with 2D Laser Doppler Velocimetry, a preliminary turbulent kinetic energy budget in a highly compressible mixing layer (convective Mach number close to 1) with assumptions derived from the work of different authors ((Panchapakesan & Lumley, 1993), (Wygnanski & Fiedler, 1970) and (Gruber et al., 1993)). Then we compare it to the balance obtained in subsonic jets or mixing layers with and without density gradients.
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
Bonnet J.P., Chambres O., Lammari M., Barre S. & Brand P. (1994), Couches de mélange turbulentes supersoniques, Rapport final, contrat DGA/DRET N ° 91/172, Août 1994.
Djeridane T. (1994), Contribution à l’étude expérimentale de jets turbulents axisymétriques à densité variable, Thèse de Doctorat de l’Université de Marseille, juillet 1994.
Gruber M. R., Messersmith N. L. & Dutton J. C. (1993), Three-Dimensional Velocity Field in a Compressible Mixing Layer, AIAA Journal Vol. 31, N ° 11, pp. 2061-2067.
Lele S. K (1994), Compressibility Effects on Turbulence, Annual Review of Fluid Me-chanics, Vol. 26.
Panchapakesan N.R. & Lumley J.L. (1993), Turbulence measurements in axisymmetric jets of air and helium-Part 1 and 2, J. Fluid Mech., Vol. 246, pp. 457–473
Sarkar S. & Balakrishnan L. (1990), Application of a Reynolds Stress Turbulence Model to the Compressible Shear Layer, ICASE Report, N° 90–18.
Sarkar S., Erlebacher G., Hussani M.Y. & Kreiss H.O. (1989), The Analysis and Modeling of Dilatational Terms in Compressible Turbulence, ICASE Report, N ° 89–79.
Wygnanski I. & Fiedler H. E. (1970), The two-dimensional mixing layer, J. Fluid. Mech., Vol. 41, part 2 pp. 327–361.
Zeman O. (1990), Dilatation Dissipation: The Concept and Application Compressible Mixing Layers, Phys. Fluids A, Vol. 2, N° 2, pp. 178–188.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Chambres, O., Barre, S., Bonnet, J.P. (1997). Balance of Kinetic Energy in a Supersonic Mixing Layer Compared to Subsonic Mixing Layer and Subsonic Jets with Variable Density. In: Fulachier, L., Lumley, J.L., Anselmet, F. (eds) IUTAM Symposium on Variable Density Low-Speed Turbulent Flows. Fluid Mechanics and Its Applications, vol 41. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5474-1_37
Download citation
DOI: https://doi.org/10.1007/978-94-011-5474-1_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6302-9
Online ISBN: 978-94-011-5474-1
eBook Packages: Springer Book Archive