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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

Molecular dynamics simulations have been performed to study frictional slip and its influence on energy dissipation and momentum transfer at atomically smooth solid/water interfaces. By modifying surface chemistry, we investigate the…

Fluid Dynamics · Physics 2016-08-08 Kai Huang , Izabela Szlufarska

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

The lift and drag forces acting on a small spherical particle moving with a finite slip in single-wall-bounded flows are investigated via direct numerical simulations. The effect of slip velocity on the particle force is analysed as a…

Fluid Dynamics · Physics 2021-04-07 Nilanka. I. K. Ekanayake , Joseph D. Berry , Dalton J. E. Harvie

The progressive onset of slip at the wall, which corresponds to a slip length increasing with the solicitation time before reaching a plateau, has been investigated for model viscoelastic polymer solutions, allowing one to vary the longest…

In conventional fluid mechanics, the chemical composition and thermodynamic state of a fluid-solid interface are not considered when establishing velocity-field boundary conditions. As a consequence, fluid simulations are usually not able…

It is well known that, at a macroscopic level, the boundary condition for a viscous fluid at a solid wall is one of "no-slip". The liquid velocity field vanishes at a fixed solid boundary. In this paper, we consider the special case of a…

Soft Condensed Matter · Physics 2015-06-25 Jean-Louis Barrat , Lydéric Bocquet

We study the slippage of a gas along mobile rigid walls in the sphere-plane confined geometry and find that it varies considerably with pressure. The classical no-slip boundary condition valid at ambient pressure changes continuously to an…

Fluid Dynamics · Physics 2011-10-12 J. Laurent , A. Drezet , H. Sellier , J. Chevrier , S. Huant

On the micro- and nanoscale, classical hydrodynamic boundary conditions such as the no-slip condition no longer apply. Instead, the flow profiles exhibit ``slip`` at the surface, which is characterized by a finite slip length (partial…

Computational Physics · Physics 2009-11-13 Jens Smiatek , Michael P. Allen , Friederike Schmid

Boundary shape, particularly roughness, strongly controls the amount of wall slip in dense granular flows. In this paper, we aim to quantify and understand which aspects of a dense granular flow are controlled by the boundary condition, and…

Soft Condensed Matter · Physics 2022-05-25 Farnaz Fazelpour , Karen E. Daniels

We present a mesoscopic model of the fluid-wall interactions for flows in microchannel geometries. We define a suitable implementation of the boundary conditions for a discrete version of the Boltzmann equations describing a wall-bounded…

Chaotic Dynamics · Physics 2007-06-13 R. Benzi , L. Biferale , M. Sbragaglia , S. Succi , F. Toschi

In a variety of applications, most notably microfluidic design, slip-based boundary conditions have been sought to characterize fluid flow over patterned surfaces. We focus on laminar shear flows over surfaces with periodic height…

Fluid Dynamics · Physics 2015-05-14 Ken Kamrin , Martin Z. Bazant , Howard A. Stone

Interfacial hydrodynamic slippage of water depends on both on surface chemistry and roughness. This study tries to connect the effect of chemical property and the physical structure of the surface on the interfacial slippage of water. By…

Fluid Dynamics · Physics 2016-05-10 Chinmay Anand Misra , Chirodeep Bakli

The `no-slip' is a fundamental assumption and generally-accepted boundary condition in rheology, tribology and fluid mechanics with strong experimental support. The violations of this condition, however, are widely recognized in many…

Fluid Dynamics · Physics 2011-10-20 Taha Sochi

We discuss a methodology that could be gainfully exploited using easily measurable experimental quantities to ascertain if the ``no-slip" boundary condition is appropriate for the flows of fluids past a solid boundary.

Fluid Dynamics · Physics 2023-07-04 Josef Málek , Kumbakonam R. Rajagopal

We investigate the dynamics of pressure driven transient flows of incompressible Newtonian fluids through circular microtubes having thin elastic walls under the long-wavelength and small deformation assumptions, which are valid for many…

Fluid Dynamics · Physics 2012-12-04 Omer San , Anne E. Staples

We have studied the slip length of confined liquid with small roughness of solid-liquid interfaces. Dyadic Green function and perturbation expansion have been applied to get the slip length quantitatively. In the slip length, both effects…

Fluid Dynamics · Physics 2017-04-26 Li Wan , Yunmi Huang

The characteristics of pressure-induced laminar separation bubbles (LSBs) over a partially-slip wall, compared with that over a canonical no-slip wall, are studied using direct numerical simulation. Three cases, two utilizing linear…

Fluid Dynamics · Physics 2024-08-14 Benjamin Kellum Cooper , Benjamin S. Savino , John Marshall Cooper , Taiho Yeom , Wen Wu

The flow of viscous incompressible fluid over a periodically corrugated surface is investigated numerically by solving the Navier-Stokes equation with the local slip and no-slip boundary conditions. We consider the effective slip length…

Fluid Dynamics · Physics 2009-05-12 Anoosheh Niavarani , Nikolai V. Priezjev

We investigate the nature of friction in granular layers by means of numerical simulation focusing on the critical slip distance, over which the system relaxes to a new stationary state. Analyzing a transient process in which the sliding…

Geophysics · Physics 2009-10-19 Takahiro Hatano