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We report the observation of gravity-capillary waves on a torus of fluid. By means of an original technique, a stable torus is achieved by depositing water on a superhydrophobic groove with a shallow wedge-shaped channel running along its…

Pattern Formation and Solitons · Physics 2021-10-13 Filip Novkoski , Eric Falcon , Chi-Tuong Pham

Wave turbulence in a thin elastic plate is experimentally investigated. By using a Fourier transform profilometry technique, the deformation field of the plate surface is measured simultaneously in time and space. This enables us to compute…

Chaotic Dynamics · Physics 2009-10-29 Pablo Cobelli , Philippe Petitjeans , Agnes Maurel , Vincent Pagneux , Nicolas Mordant

Steady forcing at the wall of a channel flow is studied via DNS to assess its ability of yielding reductions of turbulent friction drag. The wall forcing consists of a stationary distribution of spanwise velocity that alternates in the…

Fluid Dynamics · Physics 2015-05-14 Claudio Viotti , Maurizio Quadrio , Paolo Luchini

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

Industrial coating processes create thin liquid films with tight thickness tolerances, and thus models that predict the response to inevitable disturbances are essential. The mathematical modeling complexities are reduced through…

Fluid Dynamics · Physics 2022-08-04 Colin M. Huber , Nathaniel S. Barlow , Steven J. Weinstein

The transient behaviour of highly concentrated colloidal liquids and dynamically arrested states (glasses) under time-dependent shear is reviewed. This includes both theoretical and experimental studies and comprises the macroscopic…

Soft Condensed Matter · Physics 2013-09-03 K J Mutch , M Laurati , C P Amann , M Fuchs , S U Egelhaaf

The stability and transition in the bottom boundary layer under a solitary wave are analysed in the presence of finite amplitude disturbances. First, the receptivity of the boundary layer is investigated using a linear input-output…

Fluid Dynamics · Physics 2020-07-15 Asim Önder , Philip Li-Fan Liu

We present an analytical study of oscillatory laminar shear flow over a compliant viscoelastic layer on a rigid base. This problem relates to oscillating blood flow in viscoelastic vessels. The deeper motivation for this study, however, is…

Fluid Dynamics · Physics 2017-05-15 H. O. G. Benschop , W. -P. Breugem

We present an experimental realisation of spatial spanwise forcing in a turbulent boundary layer flow, aimed at reducing the frictional drag. The forcing is achieved by a series of spanwise running belts, running in alternating spanwise…

We study the dynamics of a ferrofluid thin film confined in a Hele-Shaw cell, and subjected to a tilted nonuniform magnetic field. It is shown that the interface between the ferrofluid and an inviscid outer fluid (air) supports traveling…

Pattern Formation and Solitons · Physics 2021-12-17 Zongxin Yu , Ivan C. Christov

We study the periodic motions of the coupled system $\mathscr S$, consisting of an incompressible Navier-Stokes fluid interacting with a structure formed by a rigid body subject to {\em undamped} elastic restoring forces and torque around…

Analysis of PDEs · Mathematics 2025-12-03 Denis Bonheure , Giovanni Paolo Galdi , Clara Patriarca

Analytical solutions in fluid dynamics can be used to elucidate the physics of complex flows and to serve as test cases for numerical models. In this work, we present the analytical solution for the acoustic boundary layer that develops…

Fluid Dynamics · Physics 2020-12-08 Evert Klaseboer , Qiang Sun , Derek Y. C. Chan

Nominal two-dimensional (2D) shear layers have been studied extensively, and their principal dynamics are well understood. In practical configurations, however, the behavior of such shear layers is affected by proximal surfaces. In this…

Fluid Dynamics · Physics 2026-01-26 Mitesh Thakor , Datta V Gaitonde , Yiyang Sun

When a fluid comprised of multiple phases or constituents flows through a network, non-linear phenomena such as multiple stable equilibrium states and spontaneous oscillations can occur. Such behavior has been observed or predicted in a…

Fluid Dynamics · Physics 2015-06-05 Casey M. Karst , Brian D. Storey , John B. Geddes

A minimal model for studying the mechanical properties of amorphous solids is a disordered network of point masses connected by unbreakable springs. At a critical value of its mean connectivity, such a network becomes fragile: it undergoes…

Soft Condensed Matter · Physics 2014-03-05 Stephan Ulrich , Nitin Upadhyaya , Bas van Opheusden , Vincenzo Vitelli

This study investigates transient wave dynamics in Turing pattern formation, focusing on waves emerging from localised disturbances. While the traditional focus of diffusion-driven instability has primarily centred on stationary solutions,…

Pattern Formation and Solitons · Physics 2024-03-15 Václav Klika , Eamonn A. Gaffney , Philip K. Maini

The recent theoretical discovery of families of travelling wave solutions in pipe flow at Reynolds numbers lower than the transitional range naturally raises the question of their relevance to the turbulent transition process. Here a series…

Fluid Dynamics · Physics 2009-11-13 R. R. Kerswell , O. R. Tutty

Propagation of elastic waves in damaged media (concrete, rocks) is studied theoretically and numerically. Such materials exhibit a nonlinear behavior, with long-time softening and recovery processes (slow dynamics). A constitutive model…

Classical Physics · Physics 2021-04-26 Harold Berjamin , Bruno Lombard , Guillaume Chiavassa , Nicolas Favrie

In this article we discuss the modelling of elastic and electromagnetic wave propagation through one- and two-dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of…

Materials Science · Physics 2017-01-25 Domenico Tallarico , Natalia V. Movchan , Alexander B. Movchan , Michele Camposaragna

The stratified inclined duct (SID) sustains an exchange flow in a long, gently sloping duct as a model for continuously-forced density-stratified flows such as those found in estuaries. Experiments have shown that the emergence of…

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