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Porous membranes are thin solid structures that allow the flow to pass through their tiny openings, called pores. Flow inertia may play a significant role in several filtration flows of natural and engineering interest. Here, we develop a…

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

The hydrodynamic stability behaviour of a two-layer falling film is explored with a floating flexible plate on the top surface. The stress balance at the surface is modeled using a modified membrane equation. There is an insoluble…

Fluid Dynamics · Physics 2023-05-18 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera

We show using theory and experiments that a small particle moving along an elastic membrane through a viscous fluid is repelled from the membrane due to hydro-elastic forces. The viscous stress field produces an elastic disturbance leading…

Soft Condensed Matter · Physics 2018-02-23 Bhargav Rallabandi , Naomi Oppenheimer , Matan Yah Ben Zion , Howard A. Stone

The steady streaming flow pattern caused by a no-slip sphere oscillating in an unbounded viscous incompressible fluid is calculated exactly to second order in the amplitude. The pattern depends on a dimensionless scale number, determined by…

Fluid Dynamics · Physics 2023-07-19 B. U. Felderhof

We present a thermodynamically consistent model of a ternary fluid interacting with elastic membranes. Following a free-energy modelling approach and taking into account the thermodynamics laws, we derive the equations governing the ternary…

Soft Condensed Matter · Physics 2021-02-17 Marianna Pepona , Alvin C. M. Shek , Ciro Semprebon , Timm Krüger , Halim Kusumaatmaja

The interaction of ultrasonic waves with fluid-embedded viscoelastic plates, pipes, and shells, have been subject to extensive theoretical and experimental studies over several decades. In normal-incidence through-transmission measurements…

Instrumentation and Detectors · Physics 2016-04-11 Magne Aanes , Kjetil Daae Lohne , Per Lunde , Magne Vestrheim

Transformation elasticity, by analogy with transformation acoustics and optics, converts material domains without altering wave properties, thereby enabling cloaking and related effects. By noting the similarity between transformation…

Classical Physics · Physics 2012-08-27 A. N. Norris , W. J. Parnell

In this paper, we are concerned with the instability problem of a 3-D transonic oblique shock wave for the steady supersonic flow past an infinitely long sharp wedge. The flow is assumed to be isentropic and irrotational. It was indicated…

Analysis of PDEs · Mathematics 2014-07-22 Li Liang , Xu Gang , Yin Huicheng

The existence and stability of a spherical transonic shock in a hemispherical shell under the three dimensional perturbations of the incoming flows and the exit pressure is established without any further restrictions on the background…

Analysis of PDEs · Mathematics 2025-03-20 Shangkun Weng

Following our first report (A. Groisman and V. Steinberg, $\sl Nature$ $\bf 405$, 53 (2000)) we present an extended account of experimental observations of elasticity induced turbulence in three different systems: a swirling flow between…

Chaotic Dynamics · Physics 2009-11-10 Alexander Groisman , Victor Steinberg

Flow instabilities within a fluid flow can cause laminar-to-turbulent transition over surfaces. These instabilities can result from upstream, wake-generating disturbances, leading to increased drag and turbulence-induced energy losses. Flow…

Applied Physics · Physics 2025-04-04 Melanie Keogh , Jensen McTighe , Jason Dahl , Osama R. Bilal

This work is devoted to the study of the influence of temperature anisotropy and parallel heat flux on the stability of supersonic shear flow in collisionless plasmas. Within a fluid-based framework, we employ the 16-moment transport…

Solar and Stellar Astrophysics · Physics 2026-05-14 Namig S. Dzhalilov

In this article, we prove the existence and regularity of a smooth solution for a supersonic-sonic patch arising in a modified Frankl problem in the study of three-dimensional axisymmetric steady isentropic relativistic transonic flows over…

Analysis of PDEs · Mathematics 2022-10-18 Rahul Barthwal , T. Raja Sekhar

We study analytically the dynamic response of membrane aerofoils subject to arbitrary, small-amplitude chord motions and transverse gusts in a two-dimensional inviscid incompressible flow. The theoretical model assumes linear deformations…

Fluid Dynamics · Physics 2022-09-14 Sonya Tiomkin , Justin W. Jaworski

The ability of streamwise-travelling waves of spanwise velocity to reduce the turbulent skin friction drag is assessed in the compressible regime. Direct numerical simulations are carried out to compare drag reduction in subsonic, transonic…

Boundary layer turbulence in coastal regions differs from that in deep ocean because of bottom interactions. In this paper, we focus on the merging of surface and bottom boundary layers in a finite-depth coastal ocean by numerically solving…

Atmospheric and Oceanic Physics · Physics 2022-04-13 Chao Yan , James C. McWilliams , Marcelo Chamecki

Weak wave turbulence has been observed on a thin elastic plate in previous work. Here we report theoretical, experimental and numerical studies of wave turbulence in a thin elastic plate submitted to increasing tension. When increasing the…

Statistical Mechanics · Physics 2019-03-27 Roumaissa Hassain , Nicolas Mordant , Benjamin Miquel , Giorgio Krstulovic , Gustavo Düring

The interaction of obliquely incident surface gravity waves with a vertical flexible permeable membrane wave barrier is investigated in the context of three-dimensional linear wave-structure interaction theory. A general formulation for…

Fluid Dynamics · Physics 2016-04-20 Santanu Koley , Trilochan Sahoo

A theoretical and experimental study of the spin-over mode induced by the elliptical instability of a flow contained in a slightly deformed rotating spherical shell is presented. This geometrical configuration mimics the liquid rotating…

Classical Physics · Physics 2016-08-16 L. Lacaze , P. Le Gal , S. Le Dizès
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