Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-19T00:56:13.536Z Has data issue: false hasContentIssue false
  • English
  • Français

On incompressible, turbulent, heated round jets in a co-flowing stream

Published online by Cambridge University Press:  04 July 2016

R. M. C. So  and
B. C. Hwang
R. M. C. So
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona, USA
B. C. Hwang
Affiliation:
David W. Taylor Naval Ship Research and Development Center, Annapolis, Maryland, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Turbulent incompressible heated round jets in a co-flowing stream are analysed theoretically. The normalised mean excess velocity and temperature profiles, as determined by experiments, can be shown to be well represented by appropriately defined Gaussian error-functions. The resulting solutions of the equations of motion and energy give rise to turbulent diffusivities for momentum and heat that are both functions of the stream and radial coordinates and depend parametrically on the co-flowing stream to jet velocity ratio, λ. When λ approaches zero, the eddy diffusivities become independent of the stream coordinate and a constant turbulent Prandtl number is recovered, just as previous studies have predicted. Analytical expressions are obtained for the jet growth and the centreline decay of velocity and temperature. These growth and decay laws are nonlinear functions of the stream coordinate, and show significant deviation from linearity as λ increases. Finally, it is shown that the analytical results are in fair agreement with measurements of round jets in a co-flowing stream, and correctly predict the parametric dependence of jet growth and centreline decay of velocity and temperature on λ.

Type
Research Article
Information
The Aeronautical Journal , Volume 93 , Issue 923 , March 1989 , pp. 100 - 110
Copyright
Copyright © Royal Aeronautical Society 1989 

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

1. Antonia, R. A., and Bilger, R. W. The prediction of the axisymmetric turbulent jet issuing into a co-flowing stream. Aeronaut Q, 1974, 25, 69–80.Google Scholar
2. Patel, R. P. Turbulent jets and wall jets in uniform streaming flow. Aeronaut Q. 1971, 22, 311–326.Google Scholar
3. Squire, H. B. and Trouncer, J. Round Jets in a General Stream. ARC Tech. Report, R&M No. 1974, 1944.Google Scholar
4. Forstall, W. and Shapiro, A. H. Momentum and mass transfer in coaxial gas jets. J Appl Mech, 1950, 17, 399–408.Google Scholar
5. Libby, P. A. Theoretical analysis of turbulent mixing of reactive gases with application to supersonic combustion of hydrogen. Am Rocket Soc J, 1962, 32, 388–396.Google Scholar
6. Zakkay, V., Krause, E. and Woo, S. D. L. Turbulent transport properties for axisymmetric heterogeneous mixing. AIAA J, 1964, 2, 1939-1947.Google Scholar
7. Alpinieri, L. J. Turbulent mixing of coaxial jets. AIAA J, 1964, 2, 1560–1567.Google Scholar
8. Launder, B. E., Morse, A., Rodi, W., and Spalding, D. B. Prediction of Free Shear Flows - a Comparison of the Performance of Six Turbulence Models. NASA SP-321, 1972, 361–426.Google Scholar
9. Antonia, R. A. and Bilger, R. W. An experimental investigation of an axisymmetric jet in a co-flowing air stream. J Fluid Mech, 1973, 61, 805–822.Google Scholar
10. Antonia, R. A., Prabhu, A. and Stephenson, S. E. Conditionally sampled measurements in a heated turbulent jet. J Fluid Mech, 1975, 72, 455–480.Google Scholar
11. Antonia, R. A. and Bilger, R. W. The heated round jet in a co-flowing stream. AIAA J, 1976, 14, 1541–1547.Google Scholar
12. Abramovich, G. N., Yakovlevsky, O. V., Smirnova, I. P., Secundov, A. N. and Krasheninnikov, S. YU. An investigation of the turbulent jets of different gases in a general stream. Astronaut Acta, 1969, 14, 229–240.Google Scholar
13. Biringen, S. An Experimental Investigation of a Turbulent Round Jet in a Coflowing Airstream. ASME Paper No. 86-WA/ FE-13, 1986.Google Scholar
14. So, R. M. C and Hwang, B. C. On similarity solutions for turbulent and heated round jets. Z angew Math Phys, 1986, 37, 624–631.Google Scholar
15. So, R. M. C and Liu, T. M. On self-preserving, variabledensity, turbulent free jets. Z angew Math Phys, 1986, 37, 538–558.Google Scholar
16. So, R. M. C and Hwang, B. C. Local equilibrium assumption for round jet calculations. AIAA J 1986, 24, 1388–1390.Google Scholar
17. Chevray, R. and Tutu, N. K. Intermittency and preferential transport of heat in a round jet. J Fluid Mech, 1978, 88, 133–160.Google Scholar