Convective flow generated by lateral heating on a vertically stable solute gradient

2021 ◽  
Vol 6 (5) ◽  
Author(s):  
Yu-Hsiang Huang ◽  
Falin Chen ◽  
Chih-Ang Chung
Keyword(s):  
Convective Flow ◽  
Lateral Heating ◽  
Solute Gradient

Be´nard-Marangoni Instability in an Open Vertical Cylinder With Lateral Heating

2005 ◽  
Author(s):  
B. Xu ◽  
X. Ai ◽  
B. Q. Li
Keyword(s):  
Convective Flow ◽  
Marangoni Number ◽  
Vertical Cylinder ◽  
Base Flow ◽  
Matrix Structure ◽  
Governing Equations ◽  
Thermocapillary Effect ◽  
Lateral Heating ◽  
Banded Matrix ◽  
Critical Marangoni Number

A linear stability analysis of Rayleigh-Be´nard-Marangoni flow of low Prandtl number fluid contained in an open vertical cylinder is presented. The cylinder is heated laterally and is cooled at top surface by radiation. Governing equations of the flow are solved for axisymmetric base flow using higher order finite difference scheme. Small perturbation was applied to the obtained base flow to determine the critical Marangoni number and Grashof number at which the axisymmetry is broken. The eigenvalue matrix equation is solved using linear fractional transformation with banded matrix structure taken into account. It is found that the thermocapillary effect stabilizes the convective flow driven by buoyancy.

scholarly journals Salt-finger convection generated by lateral heating of a solute gradient

1997 ◽  
Vol 352 ◽  
pp. 161-176 ◽  
Author(s):  
C. F. CHEN ◽  
FALIN CHEN
Keyword(s):  
Surface Tension ◽  
Salt Water ◽  
Water Solution ◽  
Solute Concentration ◽  
Surface Tension Gradient ◽  
Lateral Heating ◽  
Horizontal Convection ◽  
Salt Fingers ◽  
Visualization Techniques ◽  
Solute Gradient

When a tank of fluid with a solute gradient is subjected to lateral heating, a series of horizontal convection cells is generated when the critical condition is exceeded. This phenomenon has been observed experimentally and simulated by two-dimensional numerical schemes by a number of previous investigators. In each of the convection cells, relatively warm and solute-rich fluid flows from the hot to the cold wall along the top of the cell while the return of the relatively cool and solute-poor fluid is along the bottom of the cell. This situation is conducive to the onset of salt fingers. We recently performed a series of such experiments with salt-water and ethanol–water solutions. By using flow visualization techniques, salt fingers in longitudinal rolls typical of those occurring in shear flows were observed. Salt fingers were observed as soon as convection was initiated, and they advanced with the convection front. Experiments with an ethanol–water solution showed that salt fingers can be generated by flows driven by a surface tension gradient and that the effect of solute concentration on surface tension plays an important role in the process.

FRACTALIZATION OF CONVECTIVE FLOW UPON VERTICAL GROOVED DISC/AIR INTERFACE

2020 ◽  
Vol 27 (3) ◽  
pp. 267-288
Author(s):  
Tahar Boussoukaia ◽  
Belkacem Draoui ◽  
M. Hamouda
Keyword(s):  
Convective Flow ◽  
Air Interface
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