Abstract
Stability of electrohydrodynamic flows is essential to a variety of applications ranging from electrokinetic assays to electro-spray ionization. In this series of lecture notes, a few basic concepts of electrohydrodynamic stability are illustrated using two model problems, electrokinetic mixing flow and electrohydrodynamic cone-jet, respectively wall-bounded and free surface flow. After a review of the governing equations, spatiotemporal analysis of the two example problems is presented using linearized bulk- or surface-coupled models. The operating regimes for these flows are discussed within the framework of electrohydrodynamic stability.
I am indebted to the organizer, Dr. A. Ramos, who graciously helped on delivering the videotaped lectures as a result of visa complications that prevented me from traveling to CISM. My Ph.D. adviser J. G. Santiago helped on the initial outline of the lecture notes. Drs. M. P. Brenner and A. M. Ganan-Calvo provided helpful correspondence about their research. This work was funded in part by an NSF CAREER Award.
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Chen, CH. (2011). Electrohydrodynamic Stability. In: Ramos, A. (eds) Electrokinetics and Electrohydrodynamics in Microsystems. CISM Courses and Lectures, vol 530. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0900-7_6
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DOI: https://doi.org/10.1007/978-3-7091-0900-7_6
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