Stability of Relaxation Waves in a Non-Equilibrium Gas |
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Authors: | A I Osipov E A Savchenkova A V Uvarov |
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Institution: | (1) Uppsala University, SE-751 21 Uppsala, Sweden |
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Abstract: | A correct formulation of the problem of the structure and stability of relaxation waves is given for arbitrary Lewis (Le) and Prandtl (Pr) numbers. The high activation-energy approximation in which the reaction to heating zone length ratio is assumed to be small is analyzed in detail.It is shown that the case Le = 1 is a singular point and that only at that point is the calculation method used in the paper of O. Yu. Travnikov et al. (Phys. Fluids, 1997, 9, 3935–3937) applicable. For Le 1 and small wavelengths, the Landau-Darrieus mechanism gives way to another mechanism of perturbation amplification in which the amplification factor strongly depends not only on the degree of non-equilibrium but also on the Lewis and Prandtl numbers. It is shown that with decrease in the thermal expansion coefficient of the medium the results go over into the well-known results obtained for diffusion-thermal instability. |
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Keywords: | non-equilibrium gas relaxation waves stability Lewis and Prandtl numbers |
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