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The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation…

Fluid Dynamics · Physics 2025-10-07 Md. Mouzakkir Hossain , Mohamin B. M. Khan , Youchuang Chao

Inspired by applications, we study the effect of interface slip on the effective wave propagation in poroelastic composites. The current literature on the homogenization for the poroelastic wave equations are all based on the no-slip…

Analysis of PDEs · Mathematics 2022-06-17 Miao-jung Yvonne Ou , Silvia Jiménez Bolaños

The molecular mechanism of slip at the interface between polymer melts and weakly attractive smooth surfaces is investigated using molecular dynamics simulations. In agreement with our previous studies on slip flow of shear-thinning fluids,…

Soft Condensed Matter · Physics 2010-11-11 Nikolai V. Priezjev

We discuss how the wettability and roughness of a solid impacts its hydrodynamic properties. We see in particular that hydrophobic slippage can be dramatically affected by the presence of roughness. Owing to the development of refined…

Soft Condensed Matter · Physics 2015-05-20 Olga I. Vinogradova , Aleksey V. Belyaev

In this paper, we investigate the incompressible steady Navier-Stokes system with Navier slip boundary condition in a two-dimensional channel. As long as the width of cross-section of the channel grows more slowly than the linear growth,…

Analysis of PDEs · Mathematics 2022-11-23 Kaijian Sha , Yun Wang , Chunjing Xie

We perform a linear stability analysis of extended domains in phase-separating fluids of equal viscosity, in two dimensions. Using the coupled Cahn-Hilliard and Stokes equations, we derive analytically the stability eigenvalues for long…

Statistical Mechanics · Physics 2009-10-30 Amalie Frischknecht

We study the boundary conditions at a fluid-solid interface using molecular dynamics simulations covering a broad range of fluid-solid interactions and fluid densities, and both simple and chain-molecule fluids. The slip length is shown to…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Joel Koplik , Jayanth R. Banavar

Probing the fluid dynamics of thin films is an excellent tool to study the solid/liquid boundary condition. There is no need for external stimulation or pumping of the liquid due to the fact that the dewetting process, an internal…

Soft Condensed Matter · Physics 2009-09-11 O. Baeumchen , K. Jacobs

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

Fluid Dynamics · Physics 2024-11-05 Joris Labarbe

The effect of viscosity and thermal conduction on the acoustics in a shear layer above an impedance wall is investigated numerically and asymptotically by solving the compressible linearised Navier-Stokes equations. It is found that…

Fluid Dynamics · Physics 2016-12-06 Doran Khamis , Edward James Brambley

We perform the stability analysis for a free surface fluid current modeled as two finite layers of constant vorticity, under the action of gravity and absence of surface tension. In the same spirit as Taylor ["Effect of variation in density…

Fluid Dynamics · Physics 2020-03-18 Ricardo Barros , José Felipe Voloch

Molecular dynamic (MD) simulation is used to study slip at the fluid-solid boundary in an unsteady flow based on the Stokes second problem. An increase in slip is observed in comparison to the steady flow for shear rates below the critical…

Fluid Dynamics · Physics 2015-06-05 Joseph John Thalakkottor , Kamran Mohseni

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

Fluid Dynamics · Physics 2020-04-09 Alexander Gelfgat , Neima Brauner

Spreading of different types of fluid on substrates under an impressed force is an interesting problem. Here we study spreading of four fluids, having different hydrophilicity and viscosity on two substrates - glass and perspex, under an…

Soft Condensed Matter · Physics 2010-05-31 Soma Nag , Tapati Dutta , Sujata Tarafdar

We study the effects of externally imposed shear and buoyancy driven flows on the stability of a solid-liquid interface. By reanalyzing the data of Gilpin \emph{et al.} [\emph{J. Fluid Mech.}, {\bf 99}(3), 619 (1980)] we show that the…

Fluid Dynamics · Physics 2020-07-06 Srikanth Toppaladoddi , John S. Wettlaufer

Using a dynamic Surface Force Apparatus, we demonstrate that the notion of slip length used to describe the boundary flow of simple liquids, is not appropriate for viscoelastic liquids. Rather, the appropriate description lies in the…

Soft Condensed Matter · Physics 2018-06-20 Benjamin Cross , Chloé Barraud , Cyril Picard , Liliane Léger , Frédéric Restagno , Elisabeht Charlaix

Superhydrophobic surfaces demonstrate promising potential for skin friction reduction in naval and hydrodynamic applications. Recent developments of superhydrophobic surfaces aiming for scalable applications use random distribution of…

Fluid Dynamics · Physics 2018-04-11 Jongmin Seo , Ali Mani

We consider the influence of slip boundary conditions on the modal and non-modal stability of pressure-driven channel flows. In accordance with previous results by Gersting (1974) (Phys. Fluids, 17) but in contradiction with the recent…

Fluid Dynamics · Physics 2008-10-02 Eric Lauga , Carlo Cossu

We study interfacial instabilities between two spatially periodically sheared ideal fluids. Bloch wavefunction decompositions of the surface deformation and fluid velocities result in a nonhermitian secular matrix with an associated band…

Soft Condensed Matter · Physics 2009-10-30 Tom Chou