Abstract:
Stability of a plane-parallel flow of a nonuniformly heated binary mixture filling a vertical layer located in a field of gravity and in a high-frequency vibrational field is studied. The axis of vibrations is directed along the layer. The case of rigid and isothermal boundaries of the layer impermeable for the mixture is considered. The influence of thermal diffusion on the evolution of the admixture and the thresholds of flow stability is taken into account. The study is performed on the basis of equations for averaged fields. An asymptotic method with the use of the perturbation wavenumber as a small parameter is applied in the long-wave limit. For arbitrary values of the wavenumber, the limit of stability was determined by numerical integration. Charts of stability of gaseous and liquid binary mixtures are plotted.
Citation:
N. V. Gnevanov, B. L. Smorodin, “Convective instability of the flow of a binary mixture under conditions of vibration and thermal diffusion”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 77–84; J. Appl. Mech. Tech. Phys., 47:2 (2006), 214–220
\Bibitem{GneSmo06}
\by N.~V.~Gnevanov, B.~L.~Smorodin
\paper Convective instability of the flow of a binary mixture under conditions of vibration and thermal diffusion
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 77--84
\mathnet{http://mi.mathnet.ru/pmtf2131}
\elib{https://elibrary.ru/item.asp?id=16515864}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 214--220
\crossref{https://doi.org/10.1007/s10808-006-0045-9}
Linking options:
https://www.mathnet.ru/eng/pmtf2131
https://www.mathnet.ru/eng/pmtf/v47/i2/p77
This publication is cited in the following 1 articles:
I. I. Ryzhkov, I. V. Stepanova, “Group properties and exact solutions of equations for vibrational convection of a binary mixture”, J. Appl. Mech. Tech. Phys., 52:4 (2011), 560–570
Citation in format AMSBIB
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