Stability of Stationary Plane-Parallel Flow of Binary Fluid with the Soret Effect in Vertical Layer with Differentially Heated Boundaries

• Published in: Microgravity science and technology Vol. 31; no. 5; pp. 709 - 714
• Main Authors: Lyubimova, T. P., Lobov, N. I.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-10-2019; Springer Nature B.V
• Subjects: Aerospace Technology and Astronautics; Binary fluids; Binary mixtures; Boundaries; Classical and Continuum Physics; Dependence; Engineering; Flow stability; Instability; Original Article; Parallel flow; Prandtl number; Separation; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Stability; Thirty Years of Microgravity Research - A Topical Collection Dedicated to J. C. Legros; Stationary plane-parallel flow; Soret effect; Binary fluid; Vertical layer; Stability
• ISSN: 0938-0108; 1875-0494
• DOI: 10.1007/s12217-019-09749-z

Stability of stationary plane-parallel flow of binary mixture with the Soret effect in vertical layer with differentially heated boundaries is studied. Main attention is paid to the thermal wave instability mode. The dependence of the threshold value of Prandtl number
Pr
∗
, at which the growing thermal wave appear, on the separation ratio
ε
is obtained. Complex scenario of stability change with respect to thermal waves is discovered for the case of positive Soret effect: it is shown that for
ε
< 0.2 the growing thermal waves are possible only at
Pr
>
Pr
∗
, with the increase in separation ratio, additional range of growing thermal waves appears near
Pr
= 0, for
ε
> 0.2634 the thermal wave instability exists at
0
≤
Pr
≤
Pr
1
∗
and at
Pr
>
Pr
2
∗
. For
ε
> 0.278 the thermal wave instability is possible at any values of Prandtl number.