Linear-Stability Analysis of Thermocapillary-Buoyancy Convection in an Annular Two-Layer System with Upper Rigid Wall Subjected to a Radial Temperature Gradient

2019 ◽  
Vol 31 (3) ◽  
pp. 293-304 ◽  
Author(s):  
Dong-Ming Mo ◽  
Deng-Fang Ruan
Keyword(s):  
Stability Analysis ◽  
Temperature Gradient ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Rigid Wall ◽  
Radial Temperature Gradient ◽  
Layer System ◽  
Radial Temperature ◽  
Buoyancy Convection

Instability of thermocapillary–buoyancy convection in shallow layers. Part 1. Characterization of steady and oscillatory instabilities

1998 ◽  
Vol 359 ◽  
pp. 143-164 ◽  
Author(s):  
R. J. RILEY ◽  
G. P. NEITZEL
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Thin Layers ◽  
Hydrothermal Wave ◽  
Oscillatory State ◽  
Buoyancy Convection ◽  
Wave Instabilities ◽  
Oscillatory Instabilities

Combined thermocapillary–buoyancy convection in a thin rectangular geometry is investigated experimentally, with an emphasis on the generation of hydrothermal-wave instabilities. For sufficiently thin layers, pure hydrothermal waves are observed, and are found to be oblique as predicted by a previous linear-stability analysis (Smith & Davis 1983). For thicker layers, both a steady multicell state and an oscillatory state are found to exist, but the latter is not in the form of a pure hydrothermal wave.

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