@article{aef6b96046e949cfab9b3506bd54391e,
title = "Interfaces: In fluid mechanics and across disciplines",
abstract = "The dynamics of fluid-fluid interfaces are important in diverse problems that span many disciplines in science and engineering. A series of snapshots is used to illustrate the breadth of applications that can occur in viscous low-Reynolds-number flows and I highlight theoretical and modelling ideas that are broadly useful for these, as well as other, problems. By way of illustration of unifying quantitative ideas we discuss briefly (i) the use of the Reciprocal Theorem in low-Reynolds-number flows, (ii) the use of the lubrication approximation for characterizing thin-film coating flows sometimes referred to as Landau-Levich-Derjaguin-Bretherton problems and (iii) nearly two-dimensional viscously dominated flows.",
author = "Stone, {Howard A.}",
note = "Funding Information: I thank my students Jacqueline Ashmore, John Bush (joint with Jeremy Bloxham), Magalie Faivre, Samuel Gaudet (joint with Gareth McKinley), Eric Lauga (joint with Michael Brenner), Michael Manga (joint with Rick O{\textquoteright}Connell), Marcus Roper (joint with Michael Brenner), Kiril Selverov, John Tanzosh, Andre Valente (joint with David Edwards) and Wendy Zhang, and my postdocs Manouk Abkarian, Shelley Anna, Martin Bazant, Catherine Best, Laurent Courbin, Richard Day, Marc Durand, Cyprien Gay, Anthony Harkin, Sascha Hilgenfeldt, Stephan Koehler, Phil Lovalenti, Stephen Lucas, Sameer Madanshetty, Tom Powers, Bill Ristenpart, Amy Shen, Matt Sullivan, Thomas Ward and Dengfu Zhang. My current group of students – Anand Bala Subramaniam, Jacy Bird, Emilie Dressaire, Alison Forsyth, Renita Horton, Ann Lai, Rachel Pepper, Scott Tsai and Ernst van Nierop – and postdocs – Laura Guglielmini, Jinkee Lee, Sigolene Lecuyer, Mathilde Reyssat, Laurence Rongy, Roberto Rusconi, Benoit Scheid and Jiandi Wan – continue to inspire me with their creativity and hard work. I have also benefitted enormously from many opportunities to visit labs in France, and I recognize Armand Ajdari, Christophe Clanet, Laurent Limat, Jacques Magnaudet, David Qu{\'e}r{\'e} and Emmanuel Villermaux for hosting many such visits and for many inspiring questions and conversations over the years. Also, Jens Eggers has been a continual, very supportive and positive intellectual influence since my early years at Harvard. In recent years I have received generous financial support for my research from Unilever, Schlumberger, and Saint-Gobain, as well as from the Harvard MRSEC and NSEC centres sponsored by NSF; for all of this support I am very thankful. I thank John Brady for the remark about the drag on cylinder arrays as a further example of a two-dimensional viscous flow problem with a logarithmic correction. Jens Eggers, Emmanuel Villermaux and Grae Worster kindly provided helpful feedback on a draft of the paper. Finally, although I did not know George Batchelor well, I recognize and value the manifold contributions that he made to our field and this journal through his writings and leadership. Hopefully some of that impact is evident in the work described in this paper. Most of all, I recognize the value of family: from my parents who met after emmigrating to the United States from pre-World War II Germany, to my wife Valerie and our two children Taylor and Blaise. I dedicate this paper to them.",
year = "2010",
month = feb,
day = "25",
doi = "10.1017/S0022112009994186",
language = "English (US)",
volume = "645",
pages = "1--25",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",
}