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We address small volume-fraction asymptotic properties of a nonlocal isoperimetric functional with a confinement term, derived as the sharp interface limit of a variational model for self-assembly of diblock copolymers under confinement by…

Analysis of PDEs · Mathematics 2018-10-25 Stan Alama , Lia Bronsard , Rustum Choksi , Ihsan Topaloglu

Evaporation of water droplets on a superhydrophobic substrate, on which the contact line is pinned, is investigated. While previous studies mainly focused on droplets with contact angles smaller than 90^\circ, here we analyze almost the…

The dynamic behavior of a partially wetting polymer droplet driven over a nanostructured interface is studied using molecular dynamics simulations. We consider the bead-spring model to represent a polymeric liquid that partially wets a…

Soft Condensed Matter · Physics 2020-06-17 Anish Thomas , Nikolai V. Priezjev

We obtain upper bounds for the Steklov eigenvalues of warped products $\Omega\times_h\Sigma$, where $\Omega$ is a compact Riemannian manifold with boundary and $\Sigma$ is a closed Riemannian manifold. These bounds involve the volume of…

Spectral Theory · Mathematics 2025-12-18 Jade Brisson , Bruno Colbois , Alexandre Girouard , Katie Gittins

Recent experiments with droplets impacting a macro-textured superhydrophobic surfaces revealed new regimes of bouncing with a remarkable reduction of the contact time. We present here a comprehensive numerical study that reveals the physics…

Fluid Dynamics · Physics 2017-08-02 Ali Mazloomi Moqaddam , Shyam S. Chikatamarla , Ilya Karlin

This study employs molecular dynamics simulations to investigate droplet dynamics when a stationary droplet on a solid surface is struck by another droplet of similar size from above. The focus is on the jumping behavior of the merged…

Fluid Dynamics · Physics 2026-03-25 Ertiza Hossain Shopnil , Jahid Emon , Md Nadeem Azad , AKM Monjur Morshed

By varying the oil volume fraction, the microscopic droplet size and the macroscopic rheology of emulsions are investigated in a Taylor-Couette (TC) turbulent shear flow. Although here oil and water in the emulsions have almost the same…

Fluid Dynamics · Physics 2022-11-23 Lei Yi , Cheng Wang , Thomas van Vuren , Detlef Lohse , Frederic Risso , Federico Toschi , Chao Sun

The impact dynamics of spinning droplets onto superhydrophobic surfaces was studied by using Volume-of-Fluid simulations, covering broad ranges of Weber number ($We$) and dimensionless angular velocity ($\mathit{\Omega}$). The omputational…

Fluid Dynamics · Physics 2025-07-18 Jinyang Wang , Feifei Jia , Xiaoyun Peng , Peng Zhang , Kai Sun , Tianyou Wang

Droplet impact on solid surfaces is a fluid phenomenon widely involved in additive manufacturing, heat management, and coating, in which the ability to exert control over the impact dynamics and duration is critical. While past studies have…

Fluid Dynamics · Physics 2023-02-14 Hussein Dalgamoni , Xin Yong

We numerically investigate bouncing and non-bouncing of droplets during isothermal impact on superhydrophobic surfaces. An in-house, experimentally-validated, finite-element method based computational model is employed to simulate the…

Fluid Dynamics · Physics 2016-01-06 Prathamesh G. Bange , Rajneesh Bhardwaj

A fluid in a pore can form diverse heterogeneous structures. We combine a capillary description with the cubic-plus-association equation of state to study the thermodynamic stability of droplets, bubbles and films of water at 358 K in a…

Computational Physics · Physics 2019-09-04 Magnus Aa. Gjennestad , Øivind Wilhelmsen

Let us consider a projective manifold and $\Omega$ a volume form. We define the gradient flow associated to the problem of $\Omega$-balanced metrics in the quantum formalism, the \Omega$-balacing flow. At the limit of the quantization, we…

Differential Geometry · Mathematics 2015-11-17 H. -D. Cao , Julien Keller

We used volume-of-fluid (VOF) method to perform three-dimensional numerical simulations of droplet formation of Newtonian fluids in microfluidic T-junction devices. To evaluate the performance of the VOF method we examined the regimes of…

Fluid Dynamics · Physics 2017-04-26 Mehdi Nekouei , Siva A. Vanapalli

Recent experiments of thin films flowing down a vertical fiber with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. We present a detailed analysis using a full lubrication model…

Fluid Dynamics · Physics 2019-01-03 H. Ji , C. Falcon , A. Sadeghpour , Z. Zeng , Y. S. Ju , A. L. Bertozzi

Post impingement morphology and dynamics of water droplets on convex cylindrical surfaces has been explored experimentally. Droplet impact and post-impact feature studies have been conducted on hydrophillic and superhydrophobic cylindrical…

Fluid Dynamics · Physics 2019-03-27 Gargi Khurana , Nilamani Sahoo , Purbarun Dhar

The size-dependent contact angle and the drying and wetting morphological transition are studied with respect to the volume change for a spherical cap-shaped droplet placed on a spherical substrate. The line-tension effect is included using…

Soft Condensed Matter · Physics 2016-11-03 Masao Iwamatsu

Bubbles and droplets are ubiquitous in many areas of engineering, including microfluidics where they can serve as microreactors for screening of chemical reactions. They are often formed out of a constriction (a microfluidic channel or a…

Fluid Dynamics · Physics 2022-10-18 Marc Grosjean , Elise Lorenceau

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

Surface bubbles have attracted much interest in the past decades. In this article, we propose to explore the lifetime and thinning dynamics of centimetric surface bubbles. We study the impact of the bubbles size as well as that of the…

Soft Condensed Matter · Physics 2020-05-28 Jonas Miguet , Marina Pasquet , Florence Rouyer , Yuan Fang , Emmanuelle Rio

Intuitively, slow droplets stick to a surface and faster droplets splash or bounce. However, recent work suggests that on non-wetting surfaces, whether microdroplets stick or bounce depends only on their size and fluid properties, but not…

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