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Physics of Fluids : Quantifying the linear stability of a flowing electrified two-fluid layer in a channel for fast electric times for normal and parallel electric fields

By A. Kerem Uguz and N. Aubry

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Book Id: WPLBN0002169584
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 9 September 2008

Title: Physics of Fluids : Quantifying the linear stability of a flowing electrified two-fluid layer in a channel for fast electric times for normal and parallel electric fields  
Author: A. Kerem Uguz and N. Aubry
Volume: Issue : September 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Fluids Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Uguz And N. Aubr, A. K. (n.d.). Physics of Fluids : Quantifying the linear stability of a flowing electrified two-fluid layer in a channel for fast electric times for normal and parallel electric fields. Retrieved from http://netlibrary.net/


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Description: Motivated by the destabilization of a two-fluid layer flowing in a microchannel for efficient mixing or droplet formation, we study quantitatively the linear stability of the interface between two liquids subjected to an electric field parallel or normal to the flat interface. In the case of fast electric charge relaxation times, the equations for the perturbation can be significantly reduced [ A. K. Uguz, O. Ozen, and N. Aubry, Phys. Fluids 20, 031702 (2008) ]. Using a simple argument and without solving the equations, Uguz et al. determined the range of parameters over which the electric field is destabilizing, which is narrower for the parallel compared to the normal electric field. However, the argument of Uguz et al. was not amenable to the calculation of growth rates and neutral stability curves. In this paper, by solving the equations, we not only confirm the previous findings but also determine the quantitative linear stability properties, namely, the growth rates and neutral stability curves. Depending on the value of the physical parameters and when both the normal and parallel electric fields lead to instability, it is found that for the same electric potential gradient either the normal or the parallel electric field leads to the largest maximum growth rate. This result should be of interest for experimental purposes.

 

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