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We present the results of an experimental and numerical investigation of a turbulent flow over a backward-facing step in a channel. Experimental data are visualized using a Particle Image Velocimetry (PIV) device. As a mathematical model we…

Mathematical Physics · Physics 2007-05-23 T. G. Elizarova , E. V. Shilnikov , R. Weber , J. Hureau

Wall-driven flow in square cavity has been studied extensively, yet it is more frequently for the rectangular cavity flow occurring in practical problems, and some flow characteristics about rectangular cavity have not been fully…

Fluid Dynamics · Physics 2022-11-10 Xiuqiao Xiang , Baochang Shi

In this paper, we present the results of a numerical study of air-water turbulent bubbly flow in a periodic vertical square duct. The study is conducted using a novel numerical technique which leverages Volume of Fluid method for interface…

Fluid Dynamics · Physics 2022-12-27 Purushotam Kumar , Surya Pratap Vanka

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

We present a two dimensional model describing the elastic behaviour of the wall of a curved blood vessel. The wall has a laminate structure consisting of several anisotropic layers of varying thickness and is assumed to be much smaller in…

Tissues and Organs · Quantitative Biology 2017-08-18 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov , David Rule

The aim of this paper is to investigate the asymptotic behavior of a biphase tumor fluid flow derived by 2-scale homogenisation techniques in recent works. This biphase fluid flow model accounts for the capillary wall permeability, and the…

Analysis of PDEs · Mathematics 2021-01-12 Cristina Vaghi , Sébastien Benzekry , Clair Poignard

"Active nematics" are orientationally ordered but apolar fluids composed of interacting constituents individually powered by an internal source of energy. When activity exceeds a system-size dependent threshold, spatially uniform active…

Soft Condensed Matter · Physics 2017-11-08 Richard Green , John Toner , Vincenzo Vitelli

We consider inertial waves propagating in a fluid contained in a non-axisymmetric three-dimensional rotating cavity. We focus on the particular case of a fluid enclosed inside a truncated cone or frustum, which is the volume that lies…

Fluid Dynamics · Physics 2024-01-11 Benjamin Favier , Stéphane Le Dizès

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

Granular flows due to simultaneous vertical and horizontal excitations of a flat-bottomed cylindrical pan are investigated using event-driven molecular dynamics simulations. In agreement with recent experimental results, we observe a…

Materials Science · Physics 2009-11-11 Oleh Baran , John J. Drozd , Robert J. Martinuzzi , Peter H. Poole

We report on the experimental study of axisymmetric gravity-capillary standing waves generated by a vertically vibrating ring partially immersed into a fluid. Different regimes of standing waves are highlighted at the basin center depending…

Fluid Dynamics · Physics 2023-01-11 Jules Fillette , Stéphan Fauve , Eric Falcon

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 study 3D chaotic dynamics through an analysis of transport in a granular flow in a half-full spherical tumbler rotated sequentially about two orthogonal axes (a bi-axial "blinking" tumbler). The flow is essentially quasi-2D in any…

Dynamical Systems · Mathematics 2014-07-02 Ivan C. Christov , Richard M. Lueptow , Julio M. Ottino , Rob Sturman

Motivated by problems arising in tear film dynamics, we present a model for the extensional flow of thin sheets of nematic liquid crystal. The rod-like molecules of these substances impart an elastic contribution to its response. We rescale…

Fluid Dynamics · Physics 2023-06-28 M. J. Taranchuk , L. J. Cummings , T. A. Driscoll , R. J. Braun

Elliptical instability is due to a parametric resonance of two inertial modes in a fluid velocity field with elliptical streamlines. This flow is a simple model of the motion in a tidally deformed, rotating body. Elliptical instability…

Earth and Planetary Astrophysics · Physics 2015-06-18 N. Clausen , A. Tilgner

The capillary flow of a Newtonian and incompressible fluid in an axially symmetric horizontal tube with a non-slowly-varying cross section and a boundary slip is considered theoretically under the assumption that the Reynolds number is…

Fluid Dynamics · Physics 2024-05-07 Masao Iwamatsu

A large eddy simulation (LES) with an extended Smagorinsky model has been carried to investigate numerically the fully developed turbulent flow of a shear thinning fluid (n=0.75) in a stationary pipe at a simulation's Reynolds number equals…

Fluid Dynamics · Physics 2020-06-01 Mohamed Abdi , Meryem Ould-Rouiss , Abdelkader Noureddine

Cross-streamline non-inertial migration of a vesicle in a bounded Poiseuille flow is investigated experimentally and numerically. The combined effects of the walls and of the curvature of the velocity profile induce a movement towards the…

Soft Condensed Matter · Physics 2009-11-13 Gwennou Coupier , Badr Kaoui , Thomas Podgorski , Chaouqi Misbah

We performed numerical simulations of blood flow in arteries with a variable stiffness and cross-section at rest using a finite volume method coupled with a hydrostatic reconstruction of the variables at the interface of each mesh cell. The…

Numerical Analysis · Mathematics 2015-09-15 Olivier Delestre , Arthur Ghigo , Jose-Maria Fullana , Pierre-Yves Lagrée

The two-dimensional flow of viscous incompressible fluid in the domain between two concentric circles is investigated numerically. To solve the problem, the low-order Galerkin models are used. When the inner circle rotates fast enough, two…

Fluid Dynamics · Physics 2009-05-13 N. V. Petrovskaya , M. Yu. Zhukov