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The most common method to characterize the electrical response of a nanofluidic system is through its steady-state current-voltage response. In Part I, we demonstrated that this current-voltage response depends on the geometry, the layout…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Ramadan Abu-Rjal , Yoav Green

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

The ability to generate complete, or almost complete, chaotic mixing is of great interest in numerous applications, particularly for microfluidics. For this purpose, we propose a strategy that allows us to quickly target the parameter…

Chaotic Dynamics · Physics 2015-05-27 R. Chabreyrie , C. Chandre , P. Singh , N. Aubry

The equations of electrostatic drift kinetics are observed to possess a symmetry associated with their intrinsic scale invariance. Under the assumptions of spatial periodicity, stationarity, and locality, this symmetry implies a particular…

Plasma Physics · Physics 2023-08-23 T. Adkins , P. G. Ivanov , A. A. Schekochihin

The linear stability of a shear-thinning, viscoelastic fluid undergoing any of the canonical rectilinear shear flows, viz., plane Couette flow and pressure-driven flow through a channel or a tube is analyzed in the creeping-flow limit using…

Fluid Dynamics · Physics 2024-08-05 Ramkarn Patne , Shraddha Mandloi , V. Shankar , Ganesh Subramanian

Microscopic instability and macroscopic flow pattern resulting from colliding plasmas are studied analytically in support of laboratory experiments. The plasma flows are assumed to stream radially from two separate centers. In a…

Plasma Physics · Physics 2018-11-13 Mikhail Malkov , Vladimir Sotnikov

We study the laminar and turbulent channel flow over a viscous hyper-elastic wall and show that it is possible to sustain an unsteady chaotic turbulent-like flow at any Reynolds number by properly choosing the wall elastic modulus. We…

Fluid Dynamics · Physics 2020-08-05 Marco E Rosti , Luca Brandt

We perform numerical simulations of a turbulent channel flow over an hyper-elastic wall. In the fluid region the flow is governed by the incompressible Navier-Stokes (NS) equations, while the solid is a neo-Hookean material satisfying the…

Fluid Dynamics · Physics 2017-11-22 Marco E. Rosti , Luca Brandt

We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined between two concentric independently rotating cylinders - consider small aspect ratio by solving the ferrohydrodynamical equations, carrying…

Computational Physics · Physics 2017-01-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

Phoretic mechanisms, whereby gradients of chemical solutes induce surface-driven flows, have recently been used to generate directed propulsion of patterned colloidal particles. When the chemical solutes diffuse slowly, an instability…

Fluid Dynamics · Physics 2019-12-18 Sébastien Michelin , Simon Game , Eric Lauga , Eric Keaveny , Demetrios Papageourgiou

We study by a combination of analytical and numerical methods multidimensional stability and transverse bifurcation of planar hydraulic shock and roll wave solutions of the inviscid Saint Venant equations for inclined shallow-water flow,…

Analysis of PDEs · Mathematics 2023-10-24 Zhao Yang , Kevin Zumbrun

In this work, we revisit the temporal stability of slip channel flow. Lauga & Cossu (Phys. Fluids 17, 088106 (2005)) and Min & Kim (Phys. Fluids 17, 108106 (2005)) have investigated both modal stability and non-normality of slip channel…

Fluid Dynamics · Physics 2019-10-02 Chunshuo Chai , Baofang Song

Dynamics of a deformable capsule in an oscillatory flow of a Newtonian fluid in a microchannel has been studied numerically. The effects of oscillation frequency, capsule deformability, and channel flow rate have been explored by simulating…

Soft Condensed Matter · Physics 2021-01-04 Ali Lafzi , Amir Hossein Raffiee , Sadegh Dabiri

In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density $\rho^e$. A time-discrete method based on the…

Numerical Analysis · Mathematics 2026-03-26 Yunxia Wang , Zhiyong Si

Microfluidic systems are usually fabricated with soft materials that deform due to the fluid stresses. Recent experimental and theoretical studies on the steady flow in shallow deformable microchannels have shown that the flow rate is a…

Fluid Dynamics · Physics 2020-09-14 A. Martínez-Calvo , A. Sevilla , G. G. Peng , H. A. Stone

In confined rotating convection, a strong zonal flow can develop close to the side wall with a modal structure that precesses anti-cyclonically (counter to the applied rotation) along the side wall. It is surmised that this is a robust…

Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Khachatur G. Nazaryan , Leonid Levitov

The primary bifurcation of the flow past three-dimensional axisymmetric bodies is investigated. We show that the azimuthal vorticity generated at the body surface is at the root of the instability, and that the mechanism proposed by…

Fluid Dynamics · Physics 2025-04-28 A. Chiarini , R. Gauthier , E. Boujo

Vortices are the hallmarks of hydrodynamic flow. Recent studies indicate that strongly-interacting electrons in ultrapure conductors can display signatures of hydrodynamic behavior including negative nonlocal resistance, Poiseuille flow in…

The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation…

Fluid Dynamics · Physics 2025-10-07 Md. Mouzakkir Hossain , Mohamin B. M. Khan , Youchuang Chao