Study of Diffusion Instability in Some Ternary Gas Mixtures at Various Temperatures

Vladimir Kossov, Dyussembek Kulzhanov, Igor Poyarkov, Olga Fedorenko

Atyrau Institute of Oil and Gas, Atyrau, Kazakhstan.
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty, Kazakhstan.
National Research University Moscow Energy Institute, Moscow, Russia.

DOI: 10.4236/mme.2013.32012                

Abstract

Within the linear theory of stability, the process of isothermal mixing of three-component gas mixtures in a channel of final dimensions in the absence of mass-transfer through its walls is considered. The comparison of experimental data with the results of theoretical calculations for the mixtures He+Ar-N₂ and H₂+N₂-CH₄ is shown, that a stable diffusion process as the temperature increased will remain the same and be described by the ordinary diffusion laws, but unstable one lost its intensity and tend to the stable diffusion.

Keywords

Diffusion; Convection; Diffusion Instability; Linear Theory of Stability; Rayleigh Numbers

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	L. Miller and E. A. Mason, “Oscillating Instabilities in Multicomponent Diffusion,” Physics of Fluids, Vol. 9, No. 4, 1966, pp. 711-721. doi:10.1063/1.1761737
[2]	Yu. I. Zhavrin and V. N. Kosov, “Effect of Temperature on Diffusional Instability,” Journal of Engineering Physics, Vol. 55, No. 1, 1988, pp. 774-778. doi:10.1007/BF00878123
[3]	Yu. I. Zhavrin, A. Z. Aitkozhaev, V. N. Kosov and S. A. Krasikov, “Effect of Viscosity on Stability of Diffusion Mass Transfer in Isothermal Three-Species Gas Systems,” Technical Physics Letters, Vol. 21, No. 3, 1995, pp. 206-207.
[4]	Yu. I. Zhavrin, N. D. Kosov, S. M. Belov and S. B. Tarasov, “Effect of Pressure on the Diffusion Stability in Some Three-Component Gas Mixtures,” Zhurnal Tekhnicheskoi Fiziziki, Vol. 54, No. 5, 1984, pp. 943-947.
[5]	Yu. I. Zhavrin, V. N. Kosov, D. U. Kul’zhanov, I. V. Poyarkov and N. B. Ankusheva, “Effect of Cell Rotation Speed on Mutual Diffusion in a Three-Component Gas Mixture,” Technical Physics Letters, Vol. 29, No. 2, 2003, pp. 108-110. doi:10.1134/1.1558740
[6]	V. N. Kossov, N. B. Ankusheva and V. D. Seleznev, “Effect of Diffusion Channel Inclination on Stability of Mechanical Equilibrium in Isothermal Binary Gas Mixtures,” Journal of Applied Mechanics and Technical Physics, Vol. 51, No. 1, 2010, pp. 62-64. doi:10.1007/s10808-010-0009-y
[7]	J. O. Hirschfelder, Ch. F. Curtiss and R. Bird, “Molecular Theory of Gases and Liquids,” John Willey & Sons, Inc., New York, 1954.
[8]	D. D. Joseph, “Stability of Fluid Motions,” Springer, Berlin, 1976.
[9]	L. Kh. Ingel, “Convective Instability Mechanism for a Binary Mixture at a Vertical Surface,” Technical Physics, Vol. 54, No. 2, 2009, pp. 204-209. doi:10.1134/S1063784209020078
[10]	S. Chen, J. Tolke and M. Krafczyk, “Numerical Investigation of Double-Diffusive (Natural) Convection in Vertical Annuluses with Opposing Temperature and Concentration Gradients,” International Journal of Heat and Fluids Flows, Vol. 31, No. 2, 2010, pp. 217-226. doi:10.1016/j.ijheatfluidflow.2009.12.013
[11]	G. Z. Gershuni and E. M. Zhukhovitskii, “Convective Stability of Incompressible Fluids,” Keter, Jerusalem, 1976.
[12]	V. N. Kosov, V. D. Seleznev and Yu. I. Zhavrin, “The Diffusion Instability of Isothermal Three-Component Gas Mixtures,” Thermophysics and Aeromechanics, Vol. 7, No. 1, 2000, pp. 127-135.