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We study theoretically internal flows in a small oblate droplet suspended on the circular frame. Marangoni convection arises due to a vertical temperature gradient across the drop and is driven by the surface tension variations at the free…

Fluid Dynamics · Physics 2023-07-26 M. A. Shishkin , K. S. Kolegov , S. A. Pikin , B. I. Ostrovskii , E. S. Pikina

Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the…

Fluid Dynamics · Physics 2011-12-14 Zuo-Bing Wu , Wen-Rui Hu

When an evaporating water droplet is deposited on a thermally conductive substrate, the minimum temperature will be at the apex due to evaporative cooling. Consequently, density and surface tension gradients emerge within the droplet and at…

When a drop of a volatile liquid is deposited on a uniformly heated wettable, thermally conducting substrate, one expects to see it spread into a thin film and evaporate. Contrary to this intuition, due to thermal Marangoni contraction the…

Fluid Dynamics · Physics 2023-06-21 Pallav Kant , Mathieu Souzy , Nayoung Kim , Devaraj van der Meer , Detlef Lohse

The present study experimentally and numerically investigates the evaporation and resultant patterns of dried deposits of aqueous colloidal sessile droplets, when the droplets are initially elevated to a high temperature before being placed…

Temperature distributions and the corresponding vortex structures in an evaporating sessile droplet are obtained by performing detailed numerical calculations. A Marangoni convection induced by thermal conduction processes in the drop and…

Fluid Dynamics · Physics 2015-01-23 L. Yu. Barash

We demonstrate controlled material transport driven by temperature gradients in thin freely suspended smectic films. The films with submicrometer thicknesses and lateral extensions of several millimeters were studied in microgravity during…

Fluid Dynamics · Physics 2019-06-19 Torsten Trittel , Kirsten Harth , Christoph Klopp , Ralf Stannarius

Viscous hydrodynamic flow in a small, slowly evaporating, sessile hemispherical droplet with a pinned contact line is considered. Analytical solutions are obtained for the Deegan outward flow, which is responsible for the coffee ring…

Fluid Dynamics · Physics 2026-02-16 Peter Lebedev-Stepanov

The Marangoni effect refers to fluid flow induced by a gradient in surface tension at a fluid-fluid interface. We determine the full three-dimensional Marangoni flow generated by a non-uniform surface tension profile at the interface of a…

Soft Condensed Matter · Physics 2016-01-12 Maximilian Schmitt , Holger Stark

The motion of a viscous droplet in unbounded Poiseuille flow under the combined influence of bulk-insoluble surfactant and linearly varying temperature field aligned in the direction of imposed flow is studied analytically. Neglecting fluid…

Fluid Dynamics · Physics 2018-02-14 Sayan Das , Shubhadeep Mandal , S. K. Som , Suman Chakraborty

In this paper, we investigated the thermocapillary migration of a self-rewetting droplet on an inclined surface using a phase field based lattice Boltzmann method. Unlike the normal fluid whose surface tension decreases linearly with…

Fluid Dynamics · Physics 2024-07-18 He Yan , Lei Wang , Jiangxu Huang , Yuan Yu

Theoretical description and numerical simulation of an evaporating sessile drop are developed. We jointly take into account the hydrodynamics of an evaporating sessile drop, effects of the thermal conduction in the drop and the diffusion of…

Fluid Dynamics · Physics 2009-04-02 L. Yu. Barash , T. P. Bigioni , V. M. Vinokur , L. N. Shchur

The stationary single vortex Marangoni convection in an axially symmetrical sessile drop of capillary size is considered. The detailed description of the fluid flows is presented for a wide range of contact angles, which takes into account…

Fluid Dynamics · Physics 2016-07-05 L. Yu. Barash

The study of viscous thin film flow has led to the development of highly nonlinear partial differential equations that model how the evolution of the film height is affected by different forces. We investigate a model of interaction between…

Fluid Dynamics · Physics 2024-07-25 Steven A Kedda , Michael C Dallaston , Scott W McCue

The {\it unsteady} process for thermocapillary droplet migration at large Reynolds and Marangoni numbers has been previously reported by identifying a nonconservative integral thermal flux across the surface in the {\it steady}…

Fluid Dynamics · Physics 2014-07-01 Zuo-Bing Wu

Superhydrophobic surfaces can exhibit icephobicity in many ways due to their large contact angles and small rolling angles. The melting process of frozen droplets on superhydrophobic surfaces is still unclear, hindering the understanding of…

Fluid Dynamics · Physics 2023-10-09 Jiawang Cui , Tianyou Wang , Zhizhao Che

We study unsteady internal flows in a sessile droplet of capillary size evaporating in constant contact line mode on a heated substrate. Three-dimensional simulations of internal flows in evaporating droplets of ethanol and silicone oil…

Fluid Dynamics · Physics 2021-02-12 A. A. Gavrilina , L. Yu. Barash

Droplet evaporation has been intensively investigated in past decades owing to its emerging applications in diverse fields of science and technology. Yet the role transport mechanisms has been the subject of a heated debate, especially the…

Fluid Dynamics · Physics 2021-08-04 Osman Akdag , Yigit Akkus , Barbaros Cetin , Zafer Dursunkaya

The evaporation of a binary sessile ethanol-water droplet on an inclined substrate is studied experimentally just below the critical sliding angles for different substrate temperatures. A customized goniometer equipped with a CMOS camera…

Solidification of droplets is of great importance to various technological applications, drawing considerable attention from scientists aiming to unravel the fundamental physical mechanisms. In the case of multicomponent droplets undergoing…

Fluid Dynamics · Physics 2026-01-14 Feng Wang , Hao Zeng , Yihong Du , Xinyu Tang , Chao Sun
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