Document Zbl 1320.76124

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Fluids</a> <a href="/?q=in%3A348023" title="Articles in this Issue">25, No. 9, Paper No. 092106, 19 p. (2013)</a>; note ibid. 27, No. 9. Paper No. 099901, 1 p. (2015). </div> <div class="abstract">Summary: We theoretically investigate the deformation of a viscous drop covered with non-diffusing insoluble surfactant under a uniform DC electric field. At equilibrium, surfactant immobilizes the spheroidal drop surface and completely suppresses the fluid flow. In this work we focus on the equilibrium electro-deformation of a surfactant-laden drop in the leaky dielectric framework by developing (1) a second-order small-deformation analysis and (2) a spheroidal model for a highly deformed (prolate or oblate) drop. Both models are compared against experimental data and numerical simulation results in the literature. Our analysis shows how the existence of equilibrium spheroidal drop depends on the permittivity ratio, conductivity ratio, surfactant coverage, and the elasticity number. Furthermore, the spheroidal model highlights that differences between surfactant effects, such as tip stretching and surface dilution effects, are greatly amplified at large surfactant coverage and high electric capillary number. These surfactant effects are well captured in the spheroidal model, but cannot be described in the second-order small-deformation theory.{<br class="zbmathjax-paragraph">©2013 American Institute of Physics}</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6480183">Cited in <strong>9</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A76W05" title="MSC2020">76W05</a> </td> <td class="space"> Magnetohydrodynamics and electrohydrodynamics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A76D07" title="MSC2020">76D07</a> </td> <td class="space"> Stokes and related (Oseen, etc.) flows </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A76D45" title="MSC2020">76D45</a> </td> <td class="space"> Capillarity (surface tension) for incompressible viscous fluids </td> </tr></table> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1320.76124" data-ciurl="/ci/06480183" data-biburl="/bibtex/06480183.bib" data-amsurl="/amsrefs/06480183.bib" data-xmlurl="/xml/06480183.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06480183.pdf" title="Zbl 1320.76124 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1063/1.4821205" aria-label="DOI for “Equilibrium electro-deformation of a surfactant-laden viscous drop”" title="10.1063/1.4821205">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/7816accd560c8c324500b9dc66d6e49e1dd2230b" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Taylor, G., Studies in electrohydrodynamics. 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