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Title:
Effect of vertical vibrations on the onset of binary convection
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Subject and Keywords:
gravity modulation ; g-jitter ; double diffusive convection ; perturbation method
Abstract:
In the present work the linear stability analysis of double diffusive convection in a binary fluid layer is performed. The major intention of this study is to investigate the influence of time-periodic vertical vibrations on the onset threshold. A regular perturbation method is used to compute the critical Rayleigh number and wave number. A closed form expression for the shift in the critical Rayleigh number is calculated as a function of frequency of modulation, the solute Rayleigh number, Lewis number, and Prandtl number. ; These parameters are found to have a significant influence on the onset criterion; therefore the effective control of convection is achieved by proper tuning of these parameters. Vertical vibrations are found to enhance the stability of a binary fluid layer heated and salted from below. The results of this study are useful in the areas of crystal growth in micro-gravity conditions and also in material processing industries where vertical vibrations are involved.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 18, number 3 (2013)