Interfacial deflection and jetting of a paramagnetic particle-laden fluid: theory and experiment

Scott S. H. Tsai, Ian M. Griffiths, Zhenzhen Li, Pilnam Kim, Howard A. Stone

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We describe the results of experiments and mathematical analysis of the deformation of a free surface by an aggregate of magnetic particles. The system we study is differentiated from ferrofluid systems because it contains regions rich with magnetic material as well as regions of negligible magnetic content. In our experiments, the magnetic force from a spherical permanent magnet collects magnetic particles to a liquid-air interface, and deforms the free surface to form a hump. The hump is composed of magnetic and non-magnetic regions due to the particle collection. When the magnet distance falls below a threshold value, we observe the transition of the hump to a jet. The mathematical model we develop, which consists of a numerical solution and an asymptotic approximation, captures the shape of the liquid-air interface during the deformation stage and a scaling prediction for the critical magnet distance for the hump to become a jet. © 2013 The Royal Society of Chemistry.
Original languageEnglish (US)
Pages (from-to)8600
JournalSoft Matter
Issue number35
StatePublished - 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication is based on work partially supported by Award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). SSHT acknowledges the National Science Foundation (NSF-CBET-0961081) for support. The authors acknowledge Janine and Joel Nunes for the construction of the motorized positioner used in these experiments.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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