OSCILLATING INSTABILITY IN A FINITE SIZE CYLINDRICAL CHANNEL
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Abstract
The problem of stability of mixing in a ternary isothermal mixture is solved for a finite-size diffusion channel using the perturbation method. We provide a comparative analysis between the positions of the oscillating stability line for a plane infinite layer and for ‘the mass permeability’ of a cylindrical channel of a finite size. Our theoretical results are in a good agreement with the experimental data obtained by the two-flasks method for the N2–0.333He+0.667Ar system.
References
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2. Grandjan E., Monkewitz P.A. Experimental investigation into localized instabilities of mixed Rayleigh–Bénard–Poiseuille convection // Journal of Fluid Mechanics, 2009, Vol. 640, P. 401-419.
3. Martin S., Kauffman P. The evolution of under-ice melt ponds or double diffusion at the freezing point // Journal of Fluid Mechanics, 1974, V. 64, Issue 03, P. 507-528.
4. Mezrhab A., Lemonnier D., Meftah S., Benbrik A. Numerical study of double-diffusion convection coupled to radiation in a square cavity filled with a participating grey gas // J. Phys. D: Appl. Phys., 2008, Vol. 41, №19.
5. Finlayson B. A. Convective instability of ferromagnetic fluids // Journal of Fluid Mechanics, 1970, V. 40, Issue 04, P. 753-767.
6. Kosov V.N., Seleznev V.D. and Zhavrin Yu.I. The diffusion instability of isothermal three-component gas mixtures // Thermophysics and Aeromehanics, 2000. Vol. 7, No. 1, P. 127-135.
7. Ruev G.A., Fedorov A.V., Fomin V.M. Development of the Rayleigh-Taylor instability due to interaction of a diffusion mixing layer of two gases with compression waves // Shock Waves, 2006, V. 16, №1, P. 65-74.
8. Turner J.S. Buoyancy effects in fluids. – Cambridge University Press, 1979. – 431 с.
9. Trengove, R. D., Harris, K. R.., Robjohns, H. L., Dunlop, Peter J. Diffusion and thermal diffusion in some dilute binary gaseous systems between 195 and 400 K: Tests of several asymmetric potentials using the infinite order sudden approximation // Physica A, 1985, V. 131, Issue 3., P. 506-51.
10. Paul R., Srivastava I.B. Mutual diffusion of the gas pairs H2 – Ne, H2 –Ar, and H2 – Xe at different temperatures// J. Chem. Phys. 1961. Vol.35. № 6. Pp. 1621- 1624.
11. Dunlop P., Bignell C.M. Diffusion and thermal diffusion in binary mixtures of hydrogen with noble gases// J. Chem. Phys., 1987, Vol. 86, P. 2922-2926.
12. Kosov V.N., Seleznev V.D., Zhavrin Yu.I. Separation effect of components under isothermal mixing of ternary gaseous systems during free convection // Journal of Tech. Phys., 1997, V. 67, №10, P.139 – 140.
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How to Cite
Poyarkov, I. (2017). OSCILLATING INSTABILITY IN A FINITE SIZE CYLINDRICAL CHANNEL. Recent Contributions to Physics (Rec.Contr.Phys.), 37(2), 7–14. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/981
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Thermal Physics and Theoretical Thermal Engineering
