Theory of flame-front stability

Author:

Eckhaus Wiktor

Abstract

A study of the stability of a plane laminar flame front is made. The effects of disturbances on the flame structure are investigated by a small perturbations technique, taking into account the mechanism of diffusion, heat conduction and unsteady combustion. By use of a simplified model of the flame structure, and the assumption that the flame thickness is small compared with the wavelength of disturbances, a formula for the perturbation of the flame propagation velocity is derived. The flame velocity is shown to depend on the curvature of the flame, and on the rates of change of fluid velocities at the flame boundary. From stability analysis it then follows that properties of the mixture, as expressed in terms of the coefficient of heat conductivity and various coefficients of diffusion, play an important role in determining the stability picture. For some estimated values of these parameters the theoretical results are shown to agree with the general trend of the experimentally observed behaviour.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference7 articles.

1. Emmons, H. W. (Editor)1958 Fundamentals of Gas Dynamics .Princeton University Press.

2. Eckhaus, W. 1959 On the stability of laminar flame-fronts.M.I.T. Fluid Dynamics Research Group Report no. 59-9.

3. Markstein, G. H. 1951 Experimental and theoretical studies of flame-stability.J. Aero. Sci. 18.

4. Erdelyi, A. 1953 (Director, Bateman Project). Higher Transcendental Functions .New York:McGraw-Hill.

5. Landau, L. D. & Lifschitz, E. M. 1953 Mechanics of Continuous Media .Moscow.

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