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- 3Mechanical Engineering, Department of/Journal Articles (Mechanical Engineering)
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A particle finite element method (PFEM) based model is proposed to analyze droplet dynamics problems, particularly droplet spreading on solid substrates (wetting). The model uses an updated Lagrangian framework to formulate the governing equations of the liquid. Curvature of the liquid surface is...
A Lagrangian incompressible fluid flow model is extended by including an implicit surface tension term in order to analyze droplet dynamics. The Lagrangian framework is adopted to model the fluid and track its boundary, and the implicit surface tension term is used to introduce the appropriate...
By adapting the Föppl-von Kàrmàn equation, which describes the deformation of a thin elastic membrane, we present an analysis of the buckling pattern of a thin, very viscous fluid layer subject to shear in an axisymmetric geometry. A linear stability analysis yields a differential eigenvalue...
High aspect ratio microelectromechanical structures have been found, in the literature, to collapse due to capillary forces of liquids. In this dissertation, mathematical models are developed to study (i) the collapse of a microstructure represented by a double cantilevered beam (DCB) with a free...
It is desirable to predict the surface tension of liquid mixtures for a wide range of compositions, temperatures, and pressures, but current state-of-the-art calculations (e.g., density gradient theory) are computationally expensive. We propose a computationally simple—but accurate—semi-empirical...