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We report on a comprehensive experimental-computational study of a simple T-shaped mixer for Reynolds numbers up to $4000$. In the experiments, we determine the mixing time by applying the Villermaux--Dushman characterization to a…

Fluid Dynamics · Physics 2019-09-27 Tobias Schikarski , Holger Trzenschiok , Wolfgang Peukert , Marc Avila

Understanding the phase behaviour of mixtures continues to pose challenges, even for systems that might be considered "simple". Here we consider a very simple mixture of two colloidal and one non-adsorbing polymer species which can be…

Understanding the physics of blood is challenging due to its nature as a suspension of soft particles and the fact that typical problems involve different scales. This is valid also for numerical investigations. In fact, many computational…

Soft Condensed Matter · Physics 2011-09-16 Florian Janoschek , Federico Toschi , Jens Harting

Plane Couette flow of visco-elastic fluids is shown to exhibit a purely elastic subcritical instability in spite of being linearly stable. The mechanism of this instability is proposed and the nonlinear stability analysis of plane Couette…

Soft Condensed Matter · Physics 2007-05-23 Alexander N. Morozov , Wim van Saarloos

The problem of accretion of small particles by a sphere embedded in a mean flow is studied in the case where the particles undergo inelastic collisions with the solid object. The collision efficiency, which gives the flux of particles…

Fluid Dynamics · Physics 2018-02-21 Robin Vallée , Christophe Henry , Elie Hachem , Jérémie Bec

In this paper, we consider the generalized Forchheimer flows for slightly compressible fluids in porous media. Using Muskat's and Ward's general form of Forchheimer equations, we describe the flow of a single-phase fluid in $\mathbb R^d,…

Numerical Analysis · Mathematics 2016-06-13 Thinh Kieu

We present a simulation scheme for discrete-velocity gases based on {\em local thermodynamic equilibrium}. Exploiting the kinetic nature of discrete-velocity gases, in that context, results in a natural splitting of fluxes, and the…

comp-gas · Physics 2008-02-03 Balu Nadiga , Dale Pullin

It has recently been demonstrated that dynamical low-rank algorithms can provide robust and efficient approximation to a range of kinetic equations. This is true especially if the solution is close to some asymptotic limit where it is known…

Numerical Analysis · Mathematics 2021-05-13 Lukas Einkemmer , Jingwei Hu , Lexing Ying

We introduce a system of shallow water-type equations to model laboratory experiments of particle-laden flows. We explore homogeneous liquid-solid suspensions of fine, non-cohesive, monodisperse glass beads which propagate as an equivalent…

Fluid Dynamics · Physics 2025-02-11 Andrea Bondesan , Laurence Girolami , François James , Loïc Rousseau

Mixing of reagents in microfluidics is necessary for various applications however, due to the laminar nature of flows, efficient mixing in a small span of length and time becomes difficult. The analysis of mixing of non-Newtonian fluids is…

Fluid Dynamics · Physics 2022-09-01 Anirban Roy , Avinash Kumar , Chirodeep Bakli , Gargi Das

We analyse a bi-fluid isentropic compressible Navier-Stokes system with barotropic pressure laws in a two-phase framework with equal pressure and single velocity. We focus on the rigorous analysis of the low Mach number limit under…

Analysis of PDEs · Mathematics 2026-04-06 Cassandre Lebot

We investigate in this article the boundary layers appearing for a fluid under moderate rotation when the viscosity is small. The fluid is modeled by rotating type Stokes equations known also as the Barotropric mode equations in the…

Analysis of PDEs · Mathematics 2016-07-12 Soumaya Ben Chaabane , Makram Hamouda , Mahdi Tekitek

Computations of incompressible flows with velocity boundary conditions require solution of a Poisson equation for pressure with all Neumann boundary conditions. Discretization of such a Poisson equation results in a rank-deficient matrix of…

Numerical Analysis · Mathematics 2022-02-08 Shantanu Shahane , Surya Pratap Vanka

Typical bodily and environmental fluids encountered by biological swimmers consist of dissolved macromolecules such as proteins and polymers, often rendering them non Newtonian. To mimic such scenarios, we investigate the motion of swimming…

Soft Condensed Matter · Physics 2023-05-23 Prateek Dwivedi , Atishay Shrivastava , Dipin Pillai , Rahul Mangal

We make time resolved velocity measurements of steel spheres in free fall through liquid using a continuous ultrasound technique. We explore two different ways to induce large changes in drag on the spheres: 1) a small quantity of…

Fluid Dynamics · Physics 2009-11-13 Nicolas Lyotard , Woodrow Shew , Lydéric Bocquet , Jean-François Pinton

The present study focuses on the gas flow through an experiment-scale modular packed bed reactor consisting of square bars, arranged in layers. Each layer is rotated by $30^\circ$ resulting in a complex shape of the void spaces between the…

We present exact spatio-temporal correlation functions of a Rouse polymer chain submerged in a fluid having planar mixed flow, in the steady state. Using these correlators, determination of the time scale distribution functions associated…

Statistical Mechanics · Physics 2011-09-06 Dipjyoti Das , Sanjib Sabhapandit , Dibyendu Das

Understanding boundary layer flows in high Reynolds number (Re) turbulence is crucial for advancing fluid dynamics in a wide range of applications, from improving aerodynamic efficiency in aviation to optimizing energy systems in industrial…

Fluid Dynamics · Physics 2024-11-11 Yinghe Qi , Wei Guo

{\bf Direct} transition from low Reynolds number "weak" Gaussian turbulence to fully developed "strong" turbulence at a critical Reynolds number $R^{tr}_{\lambda}\approx 8.91$ has recently been theoretically predicted and tested in high…

Fluid Dynamics · Physics 2019-07-01 victor Yakhot

The subject of viscoelastic flow phenomena is crucial to many areas of engineering and the physical sciences. Although much of our understanding of viscoelastic flow features stems from carefully designed experiments, preparation of model…

Soft Condensed Matter · Physics 2026-05-01 Jonghyun Hwang , Howard A. Stone