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Fluids with shear-rate-dependent viscosity form a special class of non-Newtonian fluids that play a crucial role in continuum dynamics. We consider a compressible barotropic flow of such fluids, governed by a generalized Navier-Stokes…

Analysis of PDEs · Mathematics 2025-04-29 Pavel Ludvík , Václav Mácha

In this paper we present an experimental study of the dynamic responses of a Newtonian fluid and a Maxwellian fluid under an oscillating pressure gradient. We use laser Doppler anemometry in order to determine the velocity of each fluid…

Fluid Dynamics · Physics 2009-11-10 J. R. Castrejon-Pita , J. A. del Rio , A. A. Castrejon-Pita , G. Huelsz

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

We study the boundary conditions at a fluid-solid interface using molecular dynamics simulations covering a broad range of fluid-solid interactions and fluid densities, and both simple and chain-molecule fluids. The slip length is shown to…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Joel Koplik , Jayanth R. Banavar

This study focuses on a parametric study of the laminar fast transient flow of non-Newtonian fluids through helical pipes. Classical simulations of fluid hammer do not deal with the pipeline helicity and non-Newtonian characteristics of the…

Fluid Dynamics · Physics 2020-03-04 Mohsen Azhdari , Alireza Riasi , Pedram Tazraei

A pressure driven flow in contact interface between elastic solids with wavy surfaces is studied. We consider a strong coupling between the solid and the fluid problems, which is relevant when the fluid pressure is comparable with the…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

We develop a nonlinear model for electroosmotic transport in a constricted microchannel with a compliant lower wall, with applications to soft microfluidics, bio-inspired sensing, and energy harvesting. The formulation couples…

Fluid Dynamics · Physics 2026-04-30 Subhajyoti Sahoo , Ameeya Kumar Nayak

Certain (non polymeric) fluids show an anomalously low friction when flowing against well chosen solid walls. We discuss here one possible explanation, postulating that a gaseous film of small thickness h is present between fluid and wall.…

Soft Condensed Matter · Physics 2007-05-23 Pierre-Gilles de Gennes

We analyze flow of non-Newtonian fluids in a Hele-Shaw cell, subjected to spatially non-uniform electroosmotic slip. Motivated by their potential use for increasing the characteristic pressure fields, we specifically focus on power-law…

Fluid Dynamics · Physics 2016-11-23 Evgeniy Boyko , Moran Bercovici , Amir D. Gat

We investigate the equilibration time to attain steady-state for a system of liquid molecules under boundary-driven planar Couette flow via nonequilibrium molecular dynamics (NEMD) simulation. In particular, we examine the equilibration…

A slip model for gas flows in micro/nano-channels induced by external body forces is derived based on Maxwell's collision theory between gas molecules and the wall. The model modifies the relationship between slip velocity and velocity…

Fluid Dynamics · Physics 2010-07-27 Q. D. To , C. Bercegeay , G. Lauriat , C. Leonard , G. Bonnet

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show, using a formal asymptotic expansion of the solution, that its asymptotic behavior, when the distance between the two surfaces tends to…

Analysis of PDEs · Mathematics 2023-08-01 José M. Rodríguez , Raquel Taboada-Vázquez

In the first part of the paper we provide a new classification of incompressible fluids characterized by a continuous monotone relation between the velocity gradient and the Cauchy stress. The considered class includes Euler fluids,…

Analysis of PDEs · Mathematics 2020-05-28 Jan Blechta , Josef Málek , K. R. Rajagopal

We report an investigation of the equilibrium and dynamic properties of polyelectrolyte solutions confined between platinum surfaces with a dynamic Surface Force Apparatus. The polyelectrolyte adsorbs on the surfaces in a dense compact…

Soft Condensed Matter · Physics 2018-03-12 Chloé Barraud , Benjamin Cross , Cyril Picard , Frédéric Restagno , Liliane Léger , Elisabeth Charlaix

The thermal expansion of a fluid combined with a temperature-dependent viscosity introduces nonlinearities in the Navier-Stokes equations unrelated to the convective momentum current. The couplings generate the possibility for net fluid…

Soft Condensed Matter · Physics 2009-11-13 Franz M. Weinert , Jonas A. Kraus , Thomas Franosch , Dieter Braun

We investigate the effect of wall fluid slip on the orientation of non-Brownian, short, rigid, and high aspect ratio cylindrical fibers suspended in a Newtonian fluid in flow through a symmetric hyperbolic planar channel. The fiber…

Fluid Dynamics · Physics 2026-03-03 Kostas D. Housiadas , Antony N. Beris , Suresh G. Advani

We investigate flow of incompressible fluid in a cylindrical tube with elastic walls. The radius of the tube may change along its length. The discussed problem is connected to the blood flow in large human arteries and especially to…

Fluid Dynamics · Physics 2015-09-30 Zlatinka I. Dimitrova

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Transport of material across liquid interfaces is ubiquitous for living cells and is also a crucial step in drug delivery and in many industrial processes. The fluids that are present on either side of the interfaces will usually have…

Soft Condensed Matter · Physics 2023-05-24 Chao Feng , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

This study analyses the main characteristics of the fully developed laminar pulsatile flow in a toroidal pipe as the governing parameters vary. A novel computational technique is developed to obtain time-periodic solutions of the…

Fluid Dynamics · Physics 2023-12-04 Valerio Lupi , J. Simon Kern , Philipp Schlatter
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