Electrohydrodynamic instability in a thin fluid layer between parallel plates with electrical conductivity and thermal gradients
Date Issued
2008
Date
2008
Author(s)
Chang, Sen-Tsun
Abstract
The onset of electro-hydrodynamic instability within two parallel plates with electrical conductivity and thermal gradients has been concerned in this study by using numerical method. Electrical conductivity depends on local ion concentration and temperature; density depends on local temperature only since the solution is diluted. The temperature profile is governed by temperature difference between two plates and internal heating. Concentration distribution has been quiescent assumed. Applying perturbation method and linear stability analysis, the stability equations can be found. The neutral stability curves are calculated by shooting method with rigid-rigid boundary conditions.he numerical results show that: without internal heating, the flow field becomes more stable when upper plate has been heated. Conversely, the hotter lower plate destabilizes the field and can be reduced to “Rayleigh-Benard convection” problem accurately.hile internal heating has been concerned, the temperature profile separates the system into two parts. The upper region is mainly governed by thermal unstable mechanism. The lower region becomes unstable while electro-hydrodynamic overcomes viscous and thermal stable effect.
Subjects
electrohydrodynamic instability
parallel plates
electrical conductivity gradient
thermal gradient
Type
thesis
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