@article{
 title = {Elastic deformations driven by non-uniform lubrication flows},
 type = {article},
 year = {2017},
 keywords = {Fluid-structure interactions,Hele-Shaw flows,Microfluidics},
 pages = {841-865},
 volume = {812},
 websites = {https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/elastic-deformations-driven-by-nonuniform-lubrication-flows/F5F731A69950B9AAE1D6806184BA88E8},
 id = {143faeda-77f6-386d-8f79-9562fe51b9a3},
 created = {2019-01-20T05:45:06.270Z},
 accessed = {2019-01-19},
 file_attached = {false},
 profile_id = {dc1fdcdf-637d-32ee-a353-6a1d76918405},
 last_modified = {2019-01-27T01:48:18.082Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 private_publication = {false},
 abstract = {The ability to create dynamic deformations of micron-sized structures is relevant to a wide variety of applications such as adaptable optics, soft robotics and reconfigurable microfluidic devices. In this work, we examine non-uniform lubrication flow as a mechanism to create complex deformation fields in an elastic plate. We consider a Kirchhoff–Love elasticity model for the plate and Hele-Shaw flow in a narrow gap between the plate and a parallel rigid surface. Based on linearization of the Reynolds equation, we obtain a governing equation which relates elastic deformations to gradients in non-homogeneous physical properties of the fluid (e.g. body forces, viscosity and slip velocity). We then focus on a specific case of non-uniform Helmholtz–Smoluchowski electro-osmotic slip velocity, and provide a method for determining the zeta-potential distribution necessary to generate arbitrary static and quasi-static deformations of the elastic plate. Extending the problem to time-dependent solutions, we analyse transient effects on asymptotically static solutions, and finally provide a closed form solution for a Green's function for time periodic actuations.},
 bibtype = {article},
 author = {Rubin, Shimon and Tulchinsky, Arie and Gat, Amir D. and Bercovici, Moran},
 doi = {10.1017/jfm.2016.830},
 journal = {Journal of Fluid Mechanics}
}

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