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The Rayleigh capillary instability of a cylindrical interface between two immiscible fluids is one of the most fundamental in fluid dynamics. As Plateau observed from energetic considerations and Rayleigh clarified through hydrodynamics,…

Soft Condensed Matter · Physics 2009-10-30 Thomas R. Powers , Dengfu Zhang , Raymond E. Goldstein , Howard A. Stone

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillation. There exists a simple…

Fluid Dynamics · Physics 2009-10-31 Mikhail V. Khenner , Dmitrii V. Lyubimov , Tatyana S. Belozerova , Bernard Roux

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

Fluid Dynamics · Physics 2025-03-12 Kengo Deguchi , Ming Dong

Wavy pattern of ice with a specific wavelength occurs during ice growth from a thin layer of undercooled water flowing down the surface of icicles or inclined plane. In the preceding paper [K. Ueno, Phys. Rev. E {\bf 68}, 021603 (2003)], we…

Materials Science · Physics 2009-11-10 K. Ueno

We simulate the nonlocal Stokesian hydrodynamics of an elastic filament which is active due a permanent distribution of stresslets along its contour. A bending instability of an initially straight filament spontaneously breaks flow symmetry…

The macroscale structure and microscale fluctuation statistics of late-time asymptotic steady state flows in cylindrical geometries is studied using the methods of equilibrium statistical mechanics. The axisymmetric assumption permits an…

Fluid Dynamics · Physics 2019-06-05 Peter B. Weichman

We investigate a time-periodic fully three-dimensional fluid-structure interaction system in which the Navier-Stokes equations for an incompressible viscous fluid are coupled with a multilayered elastic structure composed of a damped thin…

Analysis of PDEs · Mathematics 2026-03-24 Felix Brandt , Claudiu Mîndrilă , Arnab Roy

We derive the equations of motion for a planar rigid body of circular shape moving in a 2D perfect fluid with point vortices using symplectic reduction by stages. After formulating the theory as a mechanical system on a configuration space…

Dynamical Systems · Mathematics 2009-07-22 Joris Vankerschaver , Eva Kanso , Jerrold E. Marsden

The two-dimensional ideal fluid and the plasma confined by a strong magnetic field exhibit an intrinsic tendency to organization due to the inverse spectral cascade. In the asymptotic states reached at relaxation the turbulence has vanished…

Plasma Physics · Physics 2017-04-05 F. Spineanu , M. Vlad

The instability of the interface between a dielectric and a conducting liquid, excited by a spatially homogeneous interface-normal time-periodic electric field, is studied based on experiments and theory. Special attention is paid to the…

Fluid Dynamics · Physics 2022-04-06 S. Dehe , M. Hartmann , A. Bandopadhyay , S. Hardt

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

The flow-induced deformation of a thin, elastic splitter plate attached to the rear of a circular cylinder and subjected to laminar pulsatile inflow is investigated. The cylinder and elastic splitter plate are contained within a narrow…

Fluid Dynamics · Physics 2016-12-21 Anup Kundu , Atul K. Soti , Rajneesh Bhardwaj , Mark C. Thompson

Plants live in constantly moving fluid, whether air or water. In response to the loads associated with fluid motion, plants bend and twist, often with great amplitude. These large deformations are not found in traditional engineering…

Soft Condensed Matter · Physics 2020-12-07 Frederick P. Gosselin

A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. Deforming composite grids are used to effectively handle the…

Numerical Analysis · Mathematics 2019-10-23 Daniel A. Serino , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

We study the interaction of an incompressible fluid in two dimensions with an elastic structure yielding the moving boundary of the physical domain. The displacement of the structure is described by a linear viscoelastic beam equation. Our…

Analysis of PDEs · Mathematics 2022-09-28 Dominic Breit

The connection between friction and jamming in granular media, molecular glasses, and complex fluids is explored. The paper first reviews the way friction is measured, the types of results that are observed, and what is known about the…

Soft Condensed Matter · Physics 2007-05-23 Mark O. Robbins

This paper introduces a sharp-interface approach to simulating fluid-structure interaction involving flexible bodies described by general nonlinear material models and across a broad range of mass density ratios. This new flexible-body…

Fluid-structure interaction (FSI) modeling, a technique widely used to enhance imaging modalities for adult and pediatric heart diseases, has been underutilized in the context of fetal circulation because of limited data on flow conditions…

Medical Physics · Physics 2024-10-29 Zhenglun Alan Wei , Guihong Chen , Biao Si , Liqun Sun , Mike Seed , Shuping Ge

In this paper, we study the structurally nonlinear stability of supersonic contact discontinuities in three-dimensional compressible isentropic steady flows. Based on the weakly linear stability result and the $L^2$-estimates obtained by…

Analysis of PDEs · Mathematics 2014-07-08 Ya-Guang Wang , Fang Yu