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We are concerned with large-time behaviors of solutions for Vlasov--Navier--Stokes equations in two dimensions and Vlasov-Stokes system in three dimensions including the effect of velocity alignment/misalignment. We first revisit the…

Analysis of PDEs · Mathematics 2020-07-14 Young-Pil Choi , Kyungkeun Kang , Hwa Kil Kim , Jae-Myoung Kim

Long liquid retention times in industrial gaps, due to capillary effects, significantly affect product lifetime by facilitating corrosion on solid surfaces. Concentration-driven evaporation plays a major role in mitigating this corrosion.…

Fluid Dynamics · Physics 2025-05-20 Phil Namesnik , Alexander Eifert , Anja Lippert , Louis Mett , Uwe Janoske

Dewetting of a binary alloy thin film is studied using a continuum many-parameter model that accounts for the surface and bulk diffusion, the bulk phase separation, the surface segregation and the particles formation. Analytical solution is…

Materials Science · Physics 2018-01-19 Mikhail Khenner

The performance of solution-processed solar cells strongly depends on the geometrical structure and roughness of the photovoltaic layers formed during film drying. During the drying process, the interplay of crystallization and…

In this article we report the atypical and anomalous evaporation kinetics of saline sessile droplets on surfaces with elevated temperatures. In a previous we showed that saline sessile droplets evaporate faster compared to water droplets…

Fluid Dynamics · Physics 2020-01-14 Abhishek Kaushal , Vivek Jaiswal , Vishwajeet Mehandia , Purbarun Dhar

While electrowetting has many applications, it is limited at large voltages by contact angle saturation - a phenomenon that is still not well understood. We propose a generalized approach for electrowetting that, among other results, can…

Soft Condensed Matter · Physics 2015-03-18 Dan Klarman , David Andelman , Michael Urbakh

The partial differential equations describing compressible fluid flows can be notoriously difficult to resolve on a pragmatic scale and often require the use of high performance computing systems and/or accelerators. However, these systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-24 Anthony S. Walker , Kyle E. Niemeyer

We propose an electro-hydrodynamics model to describe the dynamic evolution of a slender drop containing a dilute ionic surfactant on a naturally wettable surface, with a varying external electric field. This unified model reproduces…

Fluid Dynamics · Physics 2023-06-30 Weiqi Chu , Hangjie Ji , Qining Wang , Chang-jin "CJ'' Kim , Andrea L. Bertozzi

We consider a multicontinuum model in porous media applications, which is described as a system of coupled flow equations. The coupling between different continua depends on many factors and its modeling is important for porous media…

Probability · Mathematics 2020-01-27 Hakima Bessaih , Razvan Florian Maris

We develop a new semi-analytical method for solving multilayer diffusion problems with time-varying external boundary conditions and general internal boundary conditions at the interfaces between adjacent layers. The convergence rate of the…

Numerical Analysis · Mathematics 2018-04-26 Elliot J. Carr , Nathan G. March

Spilling tea or coffee leads to a tell-tale circular stain after the droplet dries, known as the "coffee ring effect". The evaporation of suspension droplets is a complex physical process, and predicting and controlling the particle deposit…

A theoretical framework is established to model the evaporation from continuously fed droplets, promising tools in the thermal management of high heat flux electronics. Using the framework, a comprehensive model is developed for a…

Applied Physics · Physics 2020-08-25 Yigit Akkus , Barbaros Cetin , Zafer Dursunkaya

Dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered. We assume moderate vibration frequency and large (compared to the mean film thickness) vibration amplitude. Using the lubrication approximation…

Fluid Dynamics · Physics 2010-02-18 S. Shklyaev , M. Khenner , A. A. Alabuzhev

Although realizing wetting transitions of droplets spontaneously on solid rough surfaces is quite challenging, it is becoming a key research topic in many practical applications which require highly efficient removal of liquid. We report…

Soft Condensed Matter · Physics 2015-06-30 Cunjing Lv , Pengfei Hao , Xiwen Zhang , Feng He

We study the flow close to an advancing contact line in the limit of small capillary number. To take into account wetting effects, both long and short-ranged contributions to the disjoining pressure are taken into account. In front of the…

Fluid Dynamics · Physics 2009-11-11 Jens Eggers

Melting is a high temperature process that requires extensive sampling of configuration space, thus making melting temperature prediction computationally very expensive and challenging. Over the past few years, I have built two methods to…

Materials Science · Physics 2022-04-12 Qi-Jun Hong

Turbulent convection models are thought to be good tools to deal with the convective overshooting in the stellar interior. However, they are too complex to be applied in calculations of stellar structure and evolution. In order to…

Solar and Stellar Astrophysics · Physics 2013-07-16 Q. S. Zhang , Y. Li

Interfacial flows close to a moving contact line are inherently multi-scale. The shape of the interface and the flow at meso- and macroscopic scales inherit an apparent interface slope and a regularization length, both called after Voinov,…

Soft Condensed Matter · Physics 2015-06-12 V. Janecek , B. Andreotti , D. Prazak , T. Barta , V. S. Nikolayev

The surface freezing and surface melting transitions exhibited by a model two-dimensional soft matter system is studied. The behaviour when confined within a wedge is also considered. The system consists of particles interacting via a soft…

Soft Condensed Matter · Physics 2016-05-25 Andrew J. Archer , Alexandr Malijevsky

Grand canonical simulations are used to calculate adsorption isotherms of various classical gases on alkali metal and Mg surfaces. Ab initio adsorption potentials and Lennard-Jones gas-gas interactions are used. Depending on the system, the…

Statistical Mechanics · Physics 2009-10-31 S. Curtarolo , G. Stan , M. J. Bojan , M. W. Cole , W. A. Steele
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