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Evaporating droplets and films are used in applications from different fields. Various methods of evaporative self-assembly are of particular interest. The paper describes a mathematical model of mass transfer in a droplet drying on a…

Fluid Dynamics · Physics 2023-09-22 Konstantin S. Kolegov

We develop a theory for drying-induced stresses in sessile, poroelastic drops undergoing evaporation on rigid surfaces. Using a lubrication-like approximation, the governing equations of three-dimensional nonlinear poroelasticity are…

Soft Condensed Matter · Physics 2022-05-18 Matthew G. Hennessy , Richard V. Craster , Omar K. Matar

Drainage and evaporation can occur simultaneously during the drying of porous media, but the interactions between these processes and their effects on drying are rarely studied. In this work, we develop a pore network model that considers…

Soft Condensed Matter · Physics 2020-03-23 Haiyi Wu , Chao Fang , Rui Wu , Rui Qiao

Liquid flow in sessile evaporating droplets of ultrapure water typically results from two main contributions: a capillary flow pushing the liquid towards the contact line from the bulk and a thermal Marangoni flow pulling the drop free…

Fluid Dynamics · Physics 2025-03-05 Massimiliano Rossi , Alvaro Marin , Christian Kaehler

We study numerically the deformation of sessile dielectric drops immersed in a second fluid when submitted to the optical radiation pressure of a continuous Gaussian laser wave. Both drop stretching and drop squeezing are investigated at…

Soft Condensed Matter · Physics 2009-03-11 Hamza Chraibi , Didier Lasseux , Eric Arquis , Régis Wunenburger , Jean-Pierre Delville

We investigate theoretically the stability of thermo-capillary convection within a droplet when heated by a point source from below. To model the droplet, we use a mathematical model based on lubrication theory. We formulate a base-state…

Fluid Dynamics · Physics 2023-07-19 Khang Ee Pang , Charles Cuvillier , Yutaku Kita , Lennon Ó Náraigh

Droplet spreading is ubiquitous and plays a significant role in liquid-based energy systems, thermal management devices, and microfluidics. While the spreading of non-volatile droplets is quantitatively understood, the spreading and flow…

Fluid Dynamics · Physics 2023-08-24 Zhenying Wang , George Karapetsas , Prashant Valluri , Chihiro Inoue

Water-repellent properties of superhydrophobic surfaces make them promising for anti-icing and deicing applications. Through experimental visualization of frozen sessile droplets undergoing melting on superhydrophobic surfaces, we identify…

Fluid Dynamics · Physics 2026-02-10 Jiawang Cui , Yugang Zhao , Tianyou Wang , Zhizhao Che

Liquid drops start spreading directly after coming into contact with a solid sub- strate. Although this phenomenon involves a three-phase contact line, the spread- ing motion can be very fast. We experimentally study the initial spreading…

Fluid Dynamics · Physics 2015-06-11 Antonin Eddi , Koen G. Winkels , Jacco H. Snoeijer

The leaves of many plants are superhydrophobic, a property that may have evolved to clean the leaves by encouraging water droplets to bead up and roll off. Superhydrophobic surfaces can also exhibit reduced friction and liquids flowing over…

Fluid Dynamics · Physics 2018-09-26 Alexander F. W. Smith , Keoni Mahelona , Shaun C. Hendy

The theory of solute transfer and deposit growth in evaporating sessile drops on a plane substrate is presented. The main ideas and the principal equations are formulated. The problem is solved analytically for two important geometries:…

Soft Condensed Matter · Physics 2007-05-23 Yuri Popov

Previously [arXiv:2103.15582v3], an expression was proposed for the evaporation flux density of a small liquid droplet having the shape of an axisymmetric spherical segment deposited on a horizontal substrate. The dependence of the flux…

Soft Condensed Matter · Physics 2023-06-09 Peter Lebedev-Stepanov

The dynamics of the fission process is expected to affect the evaporation residue cross section because of the fission hindrance due to the nuclear viscosity. Systems of intermediate fissility constitute a suitable environment for testing…

Nuclear Experiment · Physics 2018-03-14 A. Di Nitto , E. Vardaci , G. La Rana , P. N. Nadtochy , G. Prete

One-dimensional numerical simulations based on hybrid Eulerian-Lagrangian method are performed to study the interactions between propagating shocks and dispersed evaporating water droplets. Two-way coupling for exchanges of mass, momentum,…

Fluid Dynamics · Physics 2021-03-22 Zhiwei Huang , Huangwei Zhang

A mathematical model for the evolution of, and deposition from, a thin particle-laden droplet on an infinitely thick, isotropic, flooded, porous substrate with interconnected pores undergoing simultaneous evaporation and imbibition is…

Fluid Dynamics · Physics 2025-11-06 David Craig , Alexander W. Wray , Khellil Sefiane , Stephen K. Wilson

The secondary atomization of liquid droplets is a common physical phenomenon in many industrial and engineering applications. Atomization in high speed compressible flows is less well understood than its more frequently studied low Mach…

Fluid Dynamics · Physics 2019-07-12 Daniel P. Garrick , Wyatt A. Hagen , Jonathan D. Regele

We address an experimental investigation of evaporation waves. These waves appear when a liquid contained in a vertical glass tube is suddenly depressurized from a high initial pressure down to the atmospheric one. The state of the liquid…

Fluid Dynamics · Physics 2010-10-18 Jose Grana-Otero , Ignacio E. Parra

We investigate the thermo solutal transport phenomena and deposition patterns during the evaporation of surfactant laden droplets experimentally and through theoretical scaling based analysis. Experiments were conducted using the sessile…

Fluid Dynamics · Physics 2026-04-17 Randeep Ravesh , A R Harikrishnan , Purbarun Dhar

The present work investigates numerically the transport of colloidal particles within an evaporating sessile droplet and their deposition on the substrate in unfavourable conditions. The coupled phenomena of fluid flow and heat and mass…

Fluid Dynamics · Physics 2025-07-21 A. Mokhtari , M. AitSaada , S. Chikh , L. Tadrist

The dynamics of steps on crystal surfaces is considered. In general, the meandering of the steps obeys a subdiffusive behaviour. The characteristic asymptotic time laws depend on the microscopic mechanism for detachment and attachment of…

Condensed Matter · Physics 2009-10-31 W. Selke , M. Bisani
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