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We develop a model for steady, laminar boundary layers over small-scale textured surfaces. Although the texture is small relative to the boundary-layer thickness, it modifies the flow via a slip length. We use matched asymptotic expansions…

Fluid Dynamics · Physics 2026-02-27 Samuel D. Tomlinson , Demetrios T. Papageorgiou

Adsorption of small amphiphilic molecules occurs in various biological and technological processes, sometimes desired, the other times unwanted (e.g., contamination). Surface-active molecules preferentially bind to interfaces and affect…

Soft Condensed Matter · Physics 2022-11-24 Fabio Staniscia , Horacio V. Guzman , Matej Kanduč

Coalescence of micrometer-scale droplets is impacted by several parameters, including droplet size, viscosities of the two phases, droplet velocity and angle of approach, as well as interfacial tension and surfactant coverage. The dynamics…

We employ micro-particle image velocimetry ($\mu$-PIV) to investigate laminar micro-flows in hydrophobic microstructured channels, in particular the slip length. These microchannels consist of longitudinal micro-grooves, which can trap air…

We model the Darmstadt Slip Length Tribometer (DSLT), specially designed to measure viscosity and slip length simultaneously for lubrication gaps in the range of approximately 10 micrometres at relevant temperatures and surface roughness.…

A heat exchange interface at subzero temperature in a water vapor environment, exhibits high probability of frost formation due to freezing condensation, a factor that markedly decreases the heat transfer efficacy due to the considerable…

Soft Condensed Matter · Physics 2017-03-23 Christos Stamatopoulos , Jaroslav Hemrle , Danhong Wang , Dimos Poulikakos

We report on the onset of fluid entrainment when a contact line is forced to advance over a dry solid of arbitrary wettability. We show that entrainment occurs at a critical advancing speed beyond which the balance between capillary,…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Ledesma-Aguilar , Aurora Hernández-Machado , Ignacio Pagonabarraga

We present a comprehensive framework for gravity-driven, surfactant-laden thin films flowing over slippery substrates, elucidating how wall slip modifies the coupled hydrodynamics and interfacial transport. A long-wave model is formulated…

Fluid Dynamics · Physics 2026-05-19 Sanghasri Mukhopadhyay , Séverine Millet , Bastien Di Pierro , Asim Mukhopadhyay

In the present study, the role of surfactants on the cross-stream migration of droplets is investigated both experimentally and theoretically. For experimental analysis, sunflower oil is used as the carrier phase and DI water as the…

Fluid Dynamics · Physics 2018-03-22 Somnath Santra , Sayan Das , Sankha Shuvra Das , Suman Chakraborty

We study numerically and experimentally the breakup of a pendant droplet loaded with a soluble surfactant. We consider the limit in which surfactant sorption is limited only by diffusion. Surfactant transfer toward the interface is enhanced…

Fluid Dynamics · Physics 2026-05-06 M. Rubio , S. Rodríguez-Aparicio , J. M. Montanero , M. A. Herrada

In this paper we study the dynamics of a layer of incompressible viscous fluid bounded below by a rigid boundary and above by a free boundary, in the presence of a uniform gravitational field. We assume that a mass of surfactant is present…

Analysis of PDEs · Mathematics 2017-02-09 Ian Tice , Lei Wu

Photoresponsive surfactants provide a unique microfluidic driving mechanism. Since their molecular shapes change under illumination and thereby affect surface tension of fluid interfaces, Marangoni flow along the interface occurs. To…

Soft Condensed Matter · Physics 2018-11-08 Josua Grawitter , Holger Stark

We study the onset of friction for rough contacting blocks whose interface is coated with a thin lubrication layer. High speed measurements of the real contact area and stress fields near the interface reveal that propagating shear cracks…

Soft Condensed Matter · Physics 2016-05-25 Elsa Bayart , Ilya Svetlizky , Jay Fineberg

Surface roughness becomes relevant if typical length scales of the system are comparable to the scale of the variations as it is the case in microfluidic setups. Here, an apparent boundary slip is often detected which can have its origin in…

Soft Condensed Matter · Physics 2008-06-24 Christian Kunert , Jens Harting

We consider the surface pressure of a colloid-laden liquid interface. As micron-sized particles of suitable wettability can be irreversibly bound to the liquid interface on experimental timescales, we use the canonical ensemble to derive an…

Soft Condensed Matter · Physics 2022-03-07 R. Mears , I. Muntz , J. H. J. Thijssen

Internal recirculation in a moving droplet plays an important role in several droplet-based microfluidic devices as it enhances mixing, chemical reaction and heat transfer. The occurrence of fluid slip at the wall, which becomes prominent…

Fluid Dynamics · Physics 2013-11-26 Joseph J Thalakkottor , Kamran Mohseni

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

Fluid Dynamics · Physics 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

The hydrodynamic stability behaviour of a two-layer falling film is explored with a floating flexible plate on the top surface. The stress balance at the surface is modeled using a modified membrane equation. There is an insoluble…

Fluid Dynamics · Physics 2023-05-18 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera

The impact of a liquid drop on a solid surface involves many intertwined physical effects, and is influenced by drop velocity, surface tension, ambient pressure and liquid viscosity, among others. Experiments by Kolinski et al. (2014b) show…

Fluid Dynamics · Physics 2022-08-10 Shruti Mishra , Shmuel M. Rubinstein , Chris H. Rycroft

We study the lubrication of fluid-immersed soft interfaces and show that elastic deformation couples tangential and normal forces and thus generates lift. We consider materials that deform easily, due to either geometry (e.g. a shell) or…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan