Abstract
Relations for the diffusion fluxes of vibrationally highly excited diatomic molecules are found by means of the Chapman-Enskog method. On the basis of these relations a quantitative estimate of the changes in the diffusion coefficients under vibrational excitation and the corresponding changes in the macroscopic dissociation rate is obtained under conditions of disequilibrium of the upper vibrational levels of the dissociating molecules caused by the diffusion processes. The diffusion relations obtained are used in deriving the boundary conditions for the equations of level vibrational kinetics. A simplified version of this derivation is presented for noncatalytic and catalytic surfaces.
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References
B. F. Gordiets, A. I. Osipov, and L. A. Shelepin,Kinetic Processes in Gases and Molecular Lasers [in Russian], Nauka, Moscow (1980).
N. K. Makashev and V. P. Provotorov, “Nonequilibrium dissociation of diatomic molecules in a boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 161 (1985).
N. K. Makashev, “Nonequilibrium dissociation of diatomic molecules in flows with convective and diffusional particle transport,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 147 (1985).
N. K. Makashev and L. B. Strakhov, “Thermal dissociation of anharmonic oscillators in a boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 130 (1987).
V. I. Nosik, “Nonequilibrium thermal dissociation of diatomic molecules with VV, VT, and VT' exchanges,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 1, 171 (1994).
V. Adamovich, S. Macheret, and J. W. Rich, “Spatial nonhomogeneity effects in the vibrational kinetics of diatomic molecules,”AIAA Paper, No. 94–2401.
V. M. Doroshenko, N. N. Kudryavtsev, S. S. Novikov, and V. V. Smetanin, “The effect of formation of vibrationally excited nitrogen molecules on heat transfer in the process of atomic recombination in a boundary layer,”Teplofiz. Vysok. Temp.,28, 82 (1990).
V. I. Nosik, “The effect of nonequilibrium dissociation on boundary layer flow,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 168 (1995).
N. K. Makashev and L. B. Strakhov, “Calculation of the nonequilibrium distribution functions and the dissociation rate of diatomic molecules in a boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 165 (1989).
J. H. Ferziger and H. G. Kaper,Mathematical Theory of Transport Processes in Gases, North-Holland, Amsterdam (1972).
L. D. Landau and E. M. Lifshitz,Theoretical Physics, Vol. 3, Quantum Mechanics [in Russian], Nauka, Moscow (1989).
M. N. Kogan, V. S. Galkin, and N. K. Makashev, “Generalized Chapman-Enskog method: derivation of the nonequilibrium gasdynamic equations,” in: R. Campargue (Ed.),Rarefied Gas Dynamics. Pap. 11th Int. Symp. Cannes, 1978, Vol. 2, CEA, Paris (1979), p. 693.
V. S. Galkin, and N. K. Makashev, “Modification of the first approximation of the Chapman-Enskog method for a gas mixture,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 178 (1992).
I. V. Volkov and V. S. Galkin, “Analysis of the slip coefficients and temperature jump in a binary gas mixture,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 152 (1990).
N. K. Makashev, “Knudsen layer on a catalytic surface,”Uch. Zap. TsAGI,5, No. 1, 27 (1974).
N. K. Makashev, “Evaporation, condensation and heterogeneous chemical reactions for small values of the Knudsen number,”Uch. Zap. TsAGI,5, No. 3, 49 (1974).
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Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 169–182, January–February, 1996.
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Galkin, V.S., Makashev, N.K. & Rastigeev, E.A. Estimation of the effect of vibrational excitation of diatomic molecules on their diffusional transport and dissociation in a boundary layer. Fluid Dyn 31, 144–155 (1996). https://doi.org/10.1007/BF02230759
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DOI: https://doi.org/10.1007/BF02230759