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We study the stationary flow of incompressible micropolar fluid in a thin three-dimensional domain under Navier slip boundary condition for the velocity and no-spin condition for microrotation. After rescaling the governing equations, we…

Analysis of PDEs · Mathematics 2026-01-21 María Anguiano , Igor Pažanin , Francisco J. Suárez-Grau

We investigate the behavior of the slip length in Newtonian liquids subject to planar shear bounded by substrates with mixed boundary conditions. The upper wall, consisting of a homogenous surface of finite or vanishing slip, moves at a…

Soft Condensed Matter · Physics 2009-11-10 Nikolai V. Priezjev , Anton A. Darhuber , Sandra M. Troian

The dynamics of thin films on a horizontal solid substrate is investigated in the case of non-Newtonian fluids exhibiting normal stress differences, the rheology of which is strongly non-linear. Two coupled equations of evolution for the…

Fluid Dynamics · Physics 2015-06-26 Arezki Boudaoud

Tangential interactions between particles play a central role in suspension rheology. We show theoretically that these interactions, often attributed to contact friction, are a direct consequence of fluid flows between rough particles in…

Soft Condensed Matter · Physics 2026-03-25 Jake Minten , Bhargav Rallabandi

Stability of thin lubricating fluid coated slippery surfaces depends on the surface energy of the underlying solid surface. High energy solid surfaces, coated with thin lubricating oil, lead to the dewetting of the oil films upon depositing…

Soft Condensed Matter · Physics 2021-04-21 Bidisha Bhatt , Shivam Gupta , Meenaxi Sharma , Krishnacharya Khare

Some fluids exhibit anomalously low friction when flowing against a certain solid wall. To recover the viscosity of a bulk fluid, slip at the wall is usually postulated. On a macroscopic level, a large slip length can be explained as a…

Soft Condensed Matter · Physics 2009-11-10 D. Andrienko , Burkhard Dünweg , Olga I. Vinogradova

When a liquid droplet is located above a super-hydrophobic surface, it only barely touches the solid portion of the surface, and therefore slides very easily on it. More generally, super-hydrophobic surfaces have been shown to lead to…

Fluid Dynamics · Physics 2010-04-09 Anthony M. J. Davis , Eric Lauga

The dynamic behavior of the slip length in a fluid flow confined between atomically smooth surfaces is investigated using molecular dynamics simulations. At weak wall-fluid interactions, the slip length increases nonlinearly with the shear…

Soft Condensed Matter · Physics 2007-10-14 Nikolai V. Priezjev

Stability of lubricating fluid infused slippery surfaces is a concern for scientists and engineers and attempts are being made for its improvement. Lubricating oil coated slippery surface for aqueous drops is one of the important candidates…

Soft Condensed Matter · Physics 2016-08-24 Reeta Pant , Sanjeev Kumar Ujjain , Arun Kumar Nagarajan , Krishnacharya Khare

The mechanical properties of nanoconfined water layers are still poorly understood and continue to create considerable controversy, despite their importance for biology and nanotechnology. Here, we report on dynamic nanomechanical…

Soft Condensed Matter · Physics 2015-05-19 Shah H. Khan , George Matei , Shivprasad Patil , Peter M. Hoffmann

We discuss the hydrodynamic boundary condition for a superfluid moving tangentially to a rough surface. Specifically, we argue that the scattering of quantum fluctuations off surface roughness affects the nature of the boundary condition,…

Statistical Mechanics · Physics 2008-04-04 Yves Pomeau , David C. Roberts

Tree frogs possess soft structured toe pads with channels that help squeeze out fluid from the region between the toe pad and the contacting surfaces. This structure enables them to walk on wet and rough surfaces. We present our preliminary…

Soft Condensed Matter · Physics 2022-04-28 Rohini Gupta , Joelle Frechette

A deterministic theory describing the behavior of an ultrathin lubricant film between two atomically-smooth solid surfaces is proposed. For the description of lubricant state the parameter of excess volume arising due to chaotization of…

Statistical Mechanics · Physics 2011-03-30 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov

With the recent important development of microfluidic systems, miniaturization of flow devices has become a real challenge. Microchannels, however, are characterized by a large surface to volume ratio, so that surface properties strongly…

Materials Science · Physics 2009-11-10 Cecile Cottin-Bizonne , Jean-Louis Barrat , Lyderic Bocquet , Elisabeth Charlaix

Molecular dynamics simulations are carried out to investigate the dynamic behavior of the slip length in thin polymer films confined between atomically smooth thermal surfaces. For weak wall-fluid interactions, the shear rate dependence of…

Soft Condensed Matter · Physics 2008-04-21 Anoosheh Niavarani , Nikolai V. Priezjev

Following the previous part of our study on unsteady non-New\-to\-nian fluid flows with boundary conditions of friction type we consider in this paper the case of pseudo-plastic (shear thinning) fluids. The problem is described by a…

Analysis of PDEs · Mathematics 2021-12-16 Mahdi Boukrouche , Hanene Debbiche , Laetitia Paoli

Using the observation that slip in simple fluids at low and moderate shear rates is a thermally activated process driven by the shear stress in the fluid close to the solid boundary, we develop a molecular-kinetic model for simple fluid…

Fluid Dynamics · Physics 2019-07-03 Gerald J. Wang , Nicolas G. Hadjiconstantinou

Hydrodynamic slippage plays a crucial role in the flow dynamics of thin polymer films, as recently shown by the analysis of the profiles of liquid fronts. For long-chained polymer films it was reported that a deviation from a symmetric…

Soft Condensed Matter · Physics 2009-07-14 O. Baeumchen , R. Fetzer , K. Jacobs

We describe the dynamics of three-dimensional fluid vesicles in steady shear flow in the vicinity of a wall. This is analyzed numerically at low Reynolds numbers using a boundary element method. The area-incompressible vesicle exhibits…

Soft Condensed Matter · Physics 2009-11-07 Sreejith Sukumaran , Udo Seifert

This paper studies the nature of the effective velocity boundary conditions for liquid flow over a plane boundary on which small free-slip islands are randomly distributed. It is found that, to lowest order in the area fraction $\beta$…

Fluid Dynamics · Physics 2009-11-11 M. Sbragaglia , A. Prosperetti