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This work comprises a detailed theoretical and computational study of the boundary value problem for transversely isotropic linear elastic bodies. General conditions for well-posedness are derived in terms of the material parameters. The…

Numerical Analysis · Mathematics 2018-11-01 Faraniaina Rasolofoson , Beverley Grieshaber , B. Daya Reddy

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

We present a simple method to efficiently compute a lower limit of the topological entropy and its spatial distribution for two-dimensional mappings. These mappings could represent either two-dimensional time-periodic fluid flows or…

Plasma Physics · Physics 2017-10-19 Simon Candelaresi , David Ian Pontin , Gunnar Hornig

Solid interfaces have intrinsic elasticity. However, in most experiments, this is obscured by bulk stresses. Through microscopic observations of the contact-line geometry of a partially wetting droplet on an anisotropically stretched…

Soft Condensed Matter · Physics 2017-11-29 Qin Xu , Robert W. Style , Eric R. Dufresne

We consider pressure-driven flows of electrolyte solutions in small channels or capillaries in which tracer particles are used to probe velocity profiles. Under the assumption that the double layer is thin compared to the channel…

Fluid Dynamics · Physics 2008-10-02 Eric Lauga

We study a system describing the compressible barotropic fluids interacting with (visco) elastic solid shell/plate. In particular, the elastic structure is part of the moving boundary of the fluid, and the Navier-slip type boundary…

Analysis of PDEs · Mathematics 2026-05-20 Yadong Liu , Sourav Mitra , Šárka Nečasová

The nonlinear breakup dynamics of a strip of active chiral fluid is considered, and it is shown that the strip thickness goes to zero as a power law in finite time. Applying slender body theory to the hydrodynamic equations of active chiral…

Soft Condensed Matter · Physics 2026-03-12 Luke Neville , Jens Eggers , Tanniemola B. Liverpool

The full set of equations governing the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses is deployed and used to carry out a general study on the behaviour of such systems, in the context of…

General Relativity and Quantum Cosmology · Physics 2011-07-19 L. Herrera , A. Di Prisco , J. Martin , J. Ospino , N. O. Santos , O. Troconis

The effective dilatational and shear viscosities of a particle-laden fluid interface are computed in the dilute limit under the assumption of an asymptotically vanishing viscosity ratio between both fluids. Spherical particles with a given…

Fluid Dynamics · Physics 2020-10-28 Michael Eigenbrod , Steffen Hardt

In this research, a two-dimensional numerical simulation is conducted to determine the equivalent wall slip length for flow around a circular cylinder featuring a super-hydrophobic surface. The super-hydrophobic surface is modeled as an…

Fluid Dynamics · Physics 2025-11-12 Zhi-yong Li , Ya-kang Xiao , Yan-cheng Li , Li Yu , Sai Peng , Yong-liang Xiong

We study the temporal linear instability of channel flow subject to a tensorial slip boundary condition that models the slip effect induced by microgroove-type super-hydrophobic surfaces. The microgrooves are not necessarily aligned with…

Fluid Dynamics · Physics 2022-09-13 Xueyan Zhai , Kaiwen Chen , Baofang Song

The slip phenomena in thin polymer films confined by either flat or periodically corrugated surfaces are investigated by molecular dynamics and continuum simulations. For atomically flat surfaces and weak wall-fluid interactions, the shear…

Soft Condensed Matter · Physics 2008-10-15 Anoosheh Niavarani , Nikolai V. Priezjev

The linear dispersion relation for longwave surface perturbations, as derived by Levine et al. Phys. Rev. B 75, 205312 (2007) is extended to include a smooth surface energy anisotropy function with a variable anisotropy strength (from weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Mikhail Khenner , Wondimu T. Tekalign , Margo S. Levine

Further improvements are made to the non-linear data analysis algorithm for the atomic force microscope [P. Attard, arXiv:1212.3019v2 (2012)]. The algorithm is required when there is curvature in the compliance region due to photo-diode…

Soft Condensed Matter · Physics 2013-03-07 Phil Attard

The full set of equations governing the structure and the evolution of self--gravitating cylindrically symmetric dissipative fluids with anisotropic stresses, is written down in terms of scalar quantities obtained from the orthogonal…

General Relativity and Quantum Cosmology · Physics 2012-09-11 L. Herrera , A. Di Prisco J. Ospino

We present an effective medium theory that can predict the effective permittivity and permeability of a geometrically anisotropic two-dimensional metamaterial composed with a rectangular array of elliptical cylinders. It is possible to…

Optics · Physics 2016-11-10 Xiujuan Zhang , Ying Wu

An analytical solution is obtained for the problem of the slow movement of a small drop of a fluid in another immiscible fluid in an infinitely large reservoir with the boundary condition of the normal slip and/or tangential partial slip at…

Fluid Dynamics · Physics 2026-04-21 Peter Lebedev-Stepanov

It has been shown by various authors under different assumptions that the diameter of a bounded non-trivial set $\gamma$ under the action of a stochastic flow grows linearly in time. We show that the asymptotic linear expansion speed if…

Probability · Mathematics 2010-07-01 Holger Matthias van Bargen

We provide general derivations of the partial slip boundary condition from microscopic dynamics and linearized fluctuating hydrodynamics. The derivations are based on the assumption of separation of scales between microscopic behavior, such…

Statistical Mechanics · Physics 2019-06-05 Hiroyoshi Nakano , Shin-ichi Sasa

At large scales, the Reynolds stress tensor exhibits notable anisotropy, a key feature of all wall-bounded turbulent flows. Yet, how the drivers of this anisotropy evolve with shearing and thermal stratification in the atmospheric surface…

Fluid Dynamics · Physics 2025-12-04 Ivana Stiperski , Gabriel G. Katul , Elie Bou-Zeid , Marc Calaf
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