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The dynamics of the interaction of a system of two thin volatile liquid droplets resting on a soft viscoelastic solid substrate are investigated theoretically. The developed model fully considers the effect of evaporative cooling and the…

Fluid Dynamics · Physics 2023-10-13 Anna Malachtari , George Karapetsas

Formation of coffee stain deposits under evaporation of droplets containing aqueous solution of salts placed on silicone-oil impregnated substrates was observed. The formation of ring-like deposits was registered for various molar…

Soft Condensed Matter · Physics 2017-10-26 Gilad Chaniel , Mark Frenkel , Victor Multanen , Edward Bormashenko

Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

Fluid Dynamics · Physics 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

We report experimental observation of a kind of fast spontaneous movements of water drops on surfaces of cones with diameters from 0.1 to 1.5 mm. The observed maximum speed (0.22 m/s) under ambient conditions were at least two orders of…

Chemical Physics · Physics 2011-08-24 Cunjing Lv , Chao Chen , Yin-Chuan Chuang , Fan-Gang Tseng , Yajun Yin , Quanshui Zheng

Thermocapillary motion is widespread in both natural and engineering applications. A tiny drop of one liquid, suspended within another, may be set into motion aligned with an imposed thermal gradient, as influenced by thermocapillary action…

Fluid Dynamics · Physics 2025-04-10 Sayak Ray , Sudipta Ray , Suman Chakraborty

The dynamics of wetting and dewetting is largely determined by the velocity field near the contact lines. For water drops it has been observed that adding surfactant decreases the dynamic receding contact angle even at a concentration much…

Thin liquid films on isothermal substrates, where film is flat and parallel to the substrate, succumb to thermocapillary instabilities and rupture forming local hot-spots. These instabilities are called long wavelength instabilities and are…

Fluid Dynamics · Physics 2017-09-04 Aneet Dharmavaram Narendranath

This study investigates the behavior of microbubbles generated by the local heating of an ethanol/water mixture and the surrounding flow. The mixture is photothermally heated by focusing a continuous-wave laser on a FeSi$_2$ thin film.…

Fluid Dynamics · Physics 2024-05-21 Mizuki Kato , Kyoko Namura , Shinya Kawai , Samir Kumar , Kaoru Nakajima , Motofumi Suzuki

We investigate a non-isothermal diffuse-interface model that describes the dynamics of two-phase incompressible flows with thermo-induced Marangoni effect. The governing PDE system consists of the Navier--Stokes equations coupled with…

Analysis of PDEs · Mathematics 2023-07-28 Hao Wu

The lifetime $\tau$ of an isothermal and purely diffusively dissolving droplet in a host liquid scales as $\tau \sim R_0^2$ with its initial radius $R_0$ [Langmuir, Phys. Rev. 12, 368 (1919)]. For a droplet dissolving due to natural…

Fluid Dynamics · Physics 2022-02-15 Binglin Zeng , Yuliang Wang , Christian Diddens , Harold J. W. Zandvliet , Detlef Lohse

We propose a simple active hydrodynamic model for the self-propulsion of a liquid droplet suspended in micellar solutions. The self-propulsion of the droplet occurs by spontaneous breaking of isotropic symmetry and is studied using both…

Fluid Dynamics · Physics 2023-07-12 Swarnak Ray , Arun Roy

The convective instability in a plane liquid layer with time-dependent temperature profile is investigated by means of a general method suitable for linear stability analysis of an unsteady basic flow. The method is based on a non-normal…

Fluid Dynamics · Physics 2015-05-14 F. Doumenc , T. Boeck , B. Guerrier , M. Rossi

We study two-dimensional, stationary square and hexagonal patterns in the thermocapillary deformational thin-film model for the fluid height $h$\begin{equation*} \partial_t h+\nabla\cdot\left(h^3\left(\nabla\Delta h-g\nabla…

Analysis of PDEs · Mathematics 2025-06-25 Stefano Böhmer , Bastian Hilder , Jonas Jansen

We consider a free surface thin film placed on a thermally conductive substrate and exposed to an external heat source in a setup where the heat absorption depends on the local film thickness. Our focus is on modeling film evolution while…

Fluid Dynamics · Physics 2021-04-21 Ryan H. Allaire , Linda J. Cummings , Lou Kondic

Experimental observations of high-energy surface melting processes, such as laser welding, have revealed unsteady, often violent, motion of the free surface of the melt pool. Surprisingly, no similar observations have been reported in…

Fluid Dynamics · Physics 2016-03-24 Anton Kidess , Saša Kenjereš , Bernhard W. Righolt , Chris R. Kleijn

When colloidal droplets evaporate, suspended particles are redistributed by a competition between evaporation-driven capillary advection, interfacial Marangoni stresses and particle mobility, leading to diverse deposition patterns relevant…

Soft Condensed Matter · Physics 2026-04-10 Meneka Banik , Ranjini Bandyopadhyay

A tiny drop of one liquid, suspended within another, may be set into motion aligned with an imposed thermal gradient, as influenced by thermocapillary action stemming from the gradients in interfacial tension due to the local variations in…

Fluid Dynamics · Physics 2024-08-31 Sayak Ray , Sudipta Ray , Suman Chakraborty

A surfactant-laden droplet of one fluid dispersed in another immiscible fluid serves as an artificial model system capable of mimicking microbial swimmers. Either an interfacial chemical reaction or the process of solubilization generates…

Fluid Dynamics · Physics 2022-08-22 Souradeep Roychowdhury , Rajarshi Chattopadhyay , Rahul Mangal , Dipin S. Pillai

In this experimental study, we report on the mixing properties of interfacial colloidal floaters (glass bubbles) by chemical and hydrodynamical currents generated by self-propelled camphor disks swimming at the air-water interface. Despite…

We study the effect of surfactants on the dynamics of a drop-interface coalescence using full three-dimensional direct numerical simulations. We employ a hybrid interface-tracking/level-set method, which takes into account Marangoni…

Fluid Dynamics · Physics 2021-09-08 C. R. Constante-Amores , A. Batchvarov , L. Kahouadji , S. Shin , J. Chergui , D. Juric , O. K. Matar