Turbulent Clavin

P. Clavin and F.A. Williams. Theory of premixed-flame propagation in large-scale turbulence. Journal of Fluid Mechanics, 90(pt 3) 589-604, 1979. 

G. Searby and P. Clavin. Weakly turbulent wrinkled flames in premixed gases. Combustion Science and Technology, 46 167-193, 1986. 

P. Clavin. D)mamic behaviour of premixed flame fronts in laminar and turbulent flows. Progress in Energy and Combustion Science, 11 1-59,1985. 

R. Clavin and E.D. Siggia. Turbulent premixed flames and sound generation. Combust. Sci. Technol., 78 147-155,1991. 

Clavin, P. and Williams, F.A., Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity, /. Fluid Mech., 116, 251, 1982. 

A more rigorous development of wrinkled turbulent flames led Clavin and Williams [57] to the following result where isotropic turbulence is assumed ... 

P. Clavin and F. A. Williams, Effects of Lewis Number on Propagation of Wrinkled Flames in Turbulent Flow, in Combustion in Reactive Systems, vol. 76 of Progress in Astronautics and Aeronautics, J. R. Bowen, N. Manson, A. K. Oppenheim, and R. I. Soloukhin, eds.. New York American Institute of Aeronautics and Astronautics, 1981, 403-411. 

P. Clavin, G. Joulin, "Premixed flames in large and high intensity turbulent flow", J. de Phys., Lettres, 1, January 1983. 

The first analysis of the wrinkled flame structure was carried out by Barenblatt, Zeldovich and Istratov (1962) but in the diffusive-thermal model where the gas expansion effects i) and ii) are neglected. This model was extensively used these ten last years to culminate in the derivation by G. Sivashinsky (1977) of a non linear differential equation for the flame motion describing a self turbulizing behavior of the cellular structures (Michelson 6e Sivashinsky 1977). The main interest of this model is to provide us with a simple framework for studying systematically all the d3mamical effects that can possibely be produced by the diffusion of heat and mass. The asymptotic technique applied to solve this model in the limit of large values of the Zeldovich number is presented in the paper of Jou 1 in 6e Clavin (1979)... 

There are various applications of the simplified model we have derived. For example, there have been attempts to use conditions (l)-(3) together with assumption of constant flame speed, to numerically simulate flame propagation in complicated flow configurations. Our model thus provides more accurate prescriptions of these conditions for such simulations. Another example is the possible determination (in certain circumstances) of turbulent flame speed (cf. Clavin and Williams [1]). The model is particularly well suited for studying the stability properties of flames in various configurations. Particular attention is focused here on the stability of circular flames which reveal some characteristics that do not exist in the corresponding analysis of plane flames. 

Joulin, G. and Clavin, P. 1982, "Note on premixed flames in large scales and high intensity turbulent flow," (submitted). 

P. Clavin, G. Joulin, Flamelet library for turbulent wrinkled flames. Lecture notes in engineering turbulent reactive flows, vol. 40, 1989, pp. 213-239... 

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