Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-18T13:36:40.620Z Has data issue: false hasContentIssue false
  • English
  • Français

Turbulent shear flow mixing and rapid chemical reactions: an analogy

Published online by Cambridge University Press:  29 March 2006

Chung-Hua Lin  and
Edward E. O'Brien
Chung-Hua Lin
Affiliation:
Department of Mechanics, State University of New York at Stony Brook, New York 11790
Edward E. O'Brien
Affiliation:
Department of Mechanics, State University of New York at Stony Brook, New York 11790
Get access Rights & Permissions [Opens in a new window]

Abstract

Two-species, irreversible, very rapid reactions, with mild heat release, in a turbulent shear flow are shown to be analogous to the transport of two non-reacting species by the same shear field. Expressions for the probability density functions of the reacting species, the product species and the reaction-generated thermal field are obtained in terms of the joint probability density functions of the two nonreacting species. As an example we have constructed, from recent measurements of temperature statistics at a cross-section in a heated jet, the meanand fluctuating concentration fields of the reacting species and the mean concentration of the product.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 1 , 3 June 1974 , pp. 195 - 206
Copyright
© 1974 Cambridge University Press

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

Batchelor G. K.1959 J. Fluid Mech. 5, 113.
Brodkey, R. S. 1973 In Fluid Mechanics of iMixing. (ed. E. A. Uram & V. W. Gold- Schmidt), pp. 1–13. New York: A.S.M.E.
Danckwerts P. V.1950 Trans. Faraday Soc. 46, 300, 701.
Dopazo, C. & O'Brien E. E.1973 Phys. Fluids, 16, 2095.
Friedman A.1963 Generalized Functions wnd Portia1 Differential Equations, chap. 7.
Gibson, C. H. & Libby P. A.1972 Comb. Sci. & Tech. 6, 24.
La Rue, J. & Libby, P. A. 1974 Phys. Fluids (to appear).
O'Brien E. E.1971 Phys. Fluids, 14, 1326.
O'Brien E. E.1973 Proc. 2nd IUTAM-IUGG Symp. on Turbulent Diffusion, Charlottes ville, Virginia (to appear).
Pearson J. R. A.1963 Appl. Sci. Res. A 11, 321.
Toor H. L.1962 A.I.Ch.E. J. 8, 70.
Tutu, N. K. & Chevray R.1973 Bull. Am. Phys. Soc. 11 18, 11.