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What do the ocean surface and a swaying flag have in common? Both are deformable surfaces exhibiting chaotic motion when exposed to turbulent flows. Whether such motion is primarily driven by flow turbulence or by nonlinear dynamics…

Fluid Dynamics · Physics 2026-05-25 Giulio Foggi Rota , Andrea Mazzino , Marco Edoardo Rosti

Motivated by the reported peculiar dynamics of a red blood cell in shear flow, we develop an analytical theory for the motion of a nearly--spherical fluid particle enclosed by a visco--elastic incompressible interface in linear flows. The…

Fluid Dynamics · Physics 2010-07-06 Petia M. Vlahovska , Yuan-nan Young , Gerrit Danker , Chaouqi Misbah

Viscoelastic fluids exhibit elastic instabilities in simple shear flow and flow through curved streamlines. Surprisingly, we found in a porous medium such fluids show strikingly different hydrodynamic instabilities depicted by very large…

Soft Condensed Matter · Physics 2017-11-22 S. De , J. van der Schaaf , N. G. Deen , J. A. M. Kuipers , E. A. J. F. Peters , J. T. Padding

We consider longwave mode of the interface instability in the system comprising of two immiscible fluid layers. The fluids fill out plane horizontal cavity which is subjected to horizontal harmonic vibration. The analysis is performed…

patt-sol · Physics 2007-05-23 Mikhail V. Khenner , Dmitrii V. Lyubimov

A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation of Fanion…

Fluid Dynamics · Physics 2020-10-28 Prabal S. Negi , Ardeshir Hanifi , Dan S. Henningson

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time-dependent pressure data, is…

Analysis of PDEs · Mathematics 2015-06-05 Boris Muha , Suncica Canic

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

The goal of the present study is: (i) to demonstrate the two-dimensional nature of the elasto-inertial instability in elasto-inertial turbulence (EIT), (ii) to identify the role of the bi-dimensional instability in three-dimensional EIT…

Fluid Dynamics · Physics 2018-02-07 S. Sid , Y. Dubief , V. E. Terrapon

Dense arrays of soft hair-like structures protruding from surfaces in contact with fluids are ubiquitous in living systems. Fluid flows can easily deform these soft hairs which in turn impacts the flow properties. At the microscale, flows…

Soft Condensed Matter · Physics 2026-02-05 Etienne Jambon-Puillet

The problems of nonlinearity and high dimension have so far prevented a complete solution of the control of turbulent flow. Addressing the problem of nonlinearity, we propose a flow control strategy which ensures that the energy of any…

Fluid Dynamics · Physics 2013-01-22 A S Sharma , J F Morrison , B J McKeon , D J N L Limebeer , W H Koberg , S J Sherwin

The paper presents a new type of weakly nonlinear two-scale model of inflatable periodic poroelastic structures saturated by Newtonian fluids. The periodic microstructures incorporate fluid inclusions connected to the fluid channels by…

Analysis of PDEs · Mathematics 2025-08-28 Eduard Rohan , Vladimír Lukeš

When two spherical particles submerged in a viscous fluid are subjected to an oscillatory flow, they align themselves perpendicular to the direction of the flow leaving a small gap between them. The formation of this compact structure is…

The effect of an axial temperature gradient on the flow profile and the induced streaming potential of a pressure-driven symmetric electrolyte in a slit channel is investigated. Based on the non-isothermal Nernst-Planck equations as well as…

Fluid Dynamics · Physics 2020-06-26 Mathias Dietzel , Steffen Hardt

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, there is often an additional complexity of vorticity being…

Fluid Dynamics · Physics 2024-09-09 Rossen Ivanov , Vakhtang Putkaradze

We consider free surface instabilities of films flowing on inverted substrates within the framework of lubrication approximation. We allow for the presence of fronts and related contact lines, and explore the role which they play in…

Fluid Dynamics · Physics 2015-03-13 Te-sheng Lin , Lou Kondic

We study suspensions of rigid particles in a plane Couette flow with deformable elastic walls. We find that, in the limit of vanishing inertia, the elastic walls induce shear thinning of the suspension flow such that the effective viscosity…

Soft Condensed Matter · Physics 2019-06-25 Marco Edoardo Rosti , Mehdi Niazi Ardekani , Luca Brandt

We use a minimal model for a dense suspension undergoing thickening and thinning to investigate microstructural changes in 2d simulations. Our simulations show that in steady flow the contact network contains distinct building blocks which…

Soft Condensed Matter · Physics 2026-04-15 William C. J. Buchholtz , Daniel L. Blair , Jeffrey S. Urbach , H. A. Vinutha , Emanuela Del Gado

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

Flows in square channels are common in applications, such as automotive after-treatment systems and heat exchangers. Flows with axial flow entry are well understood, but for oblique flow entry, there is no clarity on the additional pressure…

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