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Spatiotemporal instability of an electrified falling film
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics. IIT Delhi, Delhi, India.
2016 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 93, no 1, 013125Article in journal (Refereed) Published
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Abstract [en]

The linear spatiotemporal response to an infinitesimal disturbance is analyzed for an electrified falling film based on the Orr-Sommerfeld boundary value problem. Four spatial branches are identified, which lose their spatial symmetry in the presence of an electric field. In addition, the absolute and convective instabilities are studied within the frameworks of the saddle point approach and the collision criterion. The collision criterion offers two unstable branches that characterize the exact range of the unstable wave packet that is diminished in the presence of an electric field. In contrast, the saddle point approach offers only one unstable branch. The associated unstable range of the wave packet is similar to that predicted by the collision criterion only when the electric field is enhanced. It is shown that the electrified falling film is convectively unstable.

Place, publisher, year, edition, pages
American Physical Society , 2016. Vol. 93, no 1, 013125
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-182153DOI: 10.1103/PhysRevE.93.013125ISI: 000368518500004Scopus ID: 2-s2.0-84955618023OAI: oai:DiVA.org:kth-182153DiVA: diva2:904965
Funder
Wenner-Gren Foundations
Note

QC 20160220

Available from: 2016-02-20 Created: 2016-02-16 Last updated: 2016-02-20Bibliographically approved

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Samanta, Arghya
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