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Related papers: Drop spreading with random viscosity

200 papers

Liquid wetting of a surface is omnipresent in nature and the advance of micro-fabrication and assembly techniques in recent years offers increasing ability to control this phenomenon. Here, we identify how surface roughness influences the…

In most spray coating and deposition applications, the target surface may be initially dry but with continuous drop impact a thin layer of liquid film is formed on which further impingement occurs. An experimental study of the process of…

Fluid Dynamics · Physics 2023-10-05 Sucharitha Rajendran , MA Jog , RM Manglik

Splashing occurs when a liquid drop hits a dry solid surface at high velocity. This paper reports experimental studies of how the splash depends on the roughness and the texture of the surfaces as well as the viscosity of the liquid. For…

Fluid Dynamics · Physics 2007-06-13 Lei Xu

In this paper we study kinetics of spreading of thin liquid films on solid interfaces. We present an overview of current experimental picture and discuss available theoretical approaches and their limitations. We report some new…

Condensed Matter · Physics 2007-05-23 S. F. Burlatsky , A. M. Cazabat , M. Moreau , G. Oshanin , S. Villette

We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time…

Analysis of PDEs · Mathematics 2012-03-15 Inwon Kim , Antoine Mellet

Self-similar solutions of the equation that describes spreading of a liquid layer due to intermolecular forces are found. It is supposed that, when the thickness of the layer reaches some magnitude of the order of the molecular size, it…

Fluid Dynamics · Physics 2008-07-21 A. N. Tyatyushkin

We examine the dynamics of a thin film formed by a distributed liquid source on a vertical solid wall. The model is derived using the lubrication approximation and includes the effects of gravity, upward airflow and surface tension. When…

Fluid Dynamics · Physics 2020-07-01 Yadong Ruan , Ali Nadim , Marina Chugunova

This paper exploits the theory of geometric gradient flows to introduce an alternative regularization of the thin-film equation. The solution properties of this regularization are investigated via a sequence of numerical simulations whose…

Fluid Dynamics · Physics 2020-02-20 Darryl D. Holm , Lennon Ó Náraigh , Cesare Tronci

Liquid drops on soft solids generate strong deformations below the contact line, resulting from a balance of capillary and elastic forces. The movement of these drops may cause strong, potentially singular dissipation in the soft solid.…

Fluid Dynamics · Physics 2016-03-25 S. Karpitschka , S. Das , M. van Gorcum , H. Perrin , B. Andreotti , J. H. Snoeijer

The spreading of liquid drops on soft substrates is extremely slow, owing to strong viscoelastic dissipation inside the solid. A detailed understanding of the spreading dynamics has remained elusive, partly owing to the difficulty in…

Soft Condensed Matter · Physics 2019-07-19 M. van Gorcum , S. Karpitschka , B. Andreotti , J. H. Snoeijer

We investigate the dynamics of drop impacts on dry solid surfaces. By synchronising high-speed photography with fast force sensing, we simultaneously measure the temporal evolution of the shape and impact force of impacting drops over a…

Fluid Dynamics · Physics 2018-03-14 Leonardo Gordillo , Ting-Pi Sun , Xiang Cheng

When a liquid droplet completely wets a hard substrate, its spreading dynamics follow Tanner's law, with the droplet radius growing as the one-tenth power of time. Here, we investigate how these dynamics change when silicone oil droplets…

Soft Condensed Matter · Physics 2026-01-14 Lauren Dutcher , Benjamin Baylis , John R. Dutcher , Elie Raphael , Kari Dalnoki-Veress

Drops impacting on a surface are ubiquitous in our everyday experience. This impact is understood within a commonly accepted hydrodynamic picture: it is initiated by a rapid shock and a subsequent ejection of a sheet leading to beautiful…

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

We investigate the effect of gravity on the spreading of droplets of yield stress fluids, by performing both microgravity experiments (in a drop tower) and experiments under terrestrial gravity. We investigate the dependence of the final…

Fluid Dynamics · Physics 2025-07-08 Linnea Heitmeier , Olfa D'Angelo , Maziyar Jalaal , Thomas Voigtmann

Pendant drops suspended on the underside of a wet substrate are known to accumulate fluid from the surrounding thin liquid film, a process that often results in dripping. The growth of such drops is hastened by their ability to translate…

Fluid Dynamics · Physics 2021-08-02 Etienne Jambon-Puillet , Pier Giuseppe Ledda , François Gallaire , P. -T. Brun

Understanding and predicting the spreading of droplets on solid surfaces is crucial in many applications such as inkjet printing, printed electronics and spray coating where the fluid is a suspension and in general non-Newtonian. However,…

Soft Condensed Matter · Physics 2024-08-13 Jennifer Quirke , Matthias E. Möbius

Liquid drops slide more slowly over soft, deformable substrates than over rigid solids. This phenomenon can be attributed to the viscoelastic dissipation induced by the moving wetting ridge, which inhibits a rapid motion, and is called…

We study the spreading dynamics of a sphere-shaped elastic non-Newtonian liquid drop on a spherical substrate in the capillary driven regime. We use the simplified Phan Thien Tanner model to represent the rheology of the elastic…

The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the…

Fluid Dynamics · Physics 2009-11-06 Len M. Pismen , Yves Pomeau