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The mixing in three-dimensional enclosures is investigated numerically using flow in cubical cavity as a geometrically simple model of various natural and engineering flows. The mixing rate is evaluated for up to the value of Reynolds…

Fluid Dynamics · Physics 2023-01-23 Alex Povitsky

Mixing of miscible liquids is an essential process in multiple industrial settings, usually with the intent to homogenize the product. This seemingly simple process is in fact a complex hydrodynamic problem that has a direct impact on the…

Multiphase, compressible and viscous flows are of crucial importance in a wide range of scientific and engineering problems. Despite the large effort paid in the last decades to develop accurate and efficient numerical techniques to address…

Fluid Dynamics · Physics 2020-05-26 Federico Dalla Barba , Nicolò Scapin , Marco E. Rosti , Francesco Picano , Luca Brandt

The mixing of a passive scalar like lithium, beryllium or temperature fluctuations due to the magnetic Tayler instability of a rotating axial pinch is considered. Our study is carried out within a Taylor-Couette setup for two rotation laws:…

Solar and Stellar Astrophysics · Physics 2016-04-20 A. Paredes , M. Gellert , G. Rüdiger

We consider the nonlinear optimisation of irreversible mixing induced by an initial finite amplitude perturbation of a statically stable density-stratified fluid. A constant pressure gradient is imposed in a plane two-dimensional channel.…

Fluid Dynamics · Physics 2018-10-17 F. Marcotte , C. P. Caulfield

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

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

Effective methods of fluid transport vary across scale. A commonly used dimensionless number for quantifying the effective scale of fluid transport is the Reynolds number, Re, which gives the ratio of inertial to viscous forces. What may…

Quantitative Methods · Quantitative Biology 2018-09-19 Julia E. Samson , Nicholas A. Battista , Shilpa Khatri , Laura A. Miller

The dynamics and deformations of immersed flexible fibers are at the heart of important industrial and biological processes, induce peculiar mechanical and transport properties in the fluids that contain them, and are the basis for novel…

Fluid Dynamics · Physics 2019-05-23 O. du Roure , A. Lindner , E. N. Nazockdast , M. J. Shelley

It has been known for some time that some microorganisms can swim faster in high-viscosity gel-forming polymer solutions. These gel-like media come to mimic highly viscous heterogeneous environment that these microorganisms encounter…

Fluid Dynamics · Physics 2009-11-29 A. M. Leshansky

The role of polymers additives on the turbulent convective flow of a Rayleigh--Taylor system is investigated by means of direct numerical simulations (DNS) of Oldroyd-B viscoelastic model. The dynamics of polymers elongation follow…

Chaotic Dynamics · Physics 2015-05-27 G. Boffetta , A. Mazzino , S. Musacchio

A new algorithm has been developed to compute low Mach Numbers supercritical fluid flows. The algorithm is applied using a finite volume method based on the SIMPLER algorithm. Its main advantages are to decrease significantly the CPU time,…

Classical Physics · Physics 2007-08-21 Jalil Ouazzani , Yves Garrabos

By numerical modeling we investigate fluid transport in low-Reynolds-number flow achieved with a special elastic filament or artifical cilium attached to a planar surface. The filament is made of superparamagnetic particles linked together…

Soft Condensed Matter · Physics 2008-11-25 Erik M. Gauger , Matthew Downton , Holger Stark

The Lattice Boltzmann Method algorithm is simplified by assuming constant numerical viscosity (the relaxation time is fixed at $\tau=1$). This leads to the removal of the distribution function from the computer memory. To test the solver…

Computational Physics · Physics 2021-10-06 Maciej Matyka , Michał Dzikowski

This paper investigates the fluid dynamics of mixing in the tanks of small-scale vanadium redox flow batteries. These systems use two redox pairs dissolved in separate electrolytes to convert electrical energy into chemical energy, a…

Fluid Dynamics · Physics 2023-12-27 Pablo A. Prieto-Díaz , Santiago E. Ibáñez , Marcos Vera

It is presently believed that flows of viscoelastic polymer solutions in geometries such as a straight pipe or channel are linearly stable. Here we present experimental evidence that such flows can be nonlinearly unstable and can exhibit a…

Fluid Dynamics · Physics 2015-06-04 L. Pan , A. Morozov , C. Wagner , P. E. Arratia

Mixing fluid in a container at low Reynolds number - in an inertialess environment - is not a trivial task. Reciprocating motions merely lead to cycles of mixing and unmixing, so continuous rotation, as used in many technological…

The fluctuations of turbulence intensity in a pipe flow around the critical Reynolds number is difficult to study but important because they are related to turbulent-laminar transitions. We here propose a rare-event sampling method to study…

Fluid Dynamics · Physics 2018-02-08 Takahiro Nemoto , Alexandros Alexakis

The results studying various laminar flow regimes in diverging and converging plain channels (diffuser and confusor) with a small opening angle of channels (diverging and converging angles) are presented. The results are obtained for a…

Fluid Dynamics · Physics 2022-03-10 Alexey I. Fedyushkin , Artur A. Puntus , Evgeny V. Volkov

This paper presents a numerical study of flow through static random assemblies of monodisperse, spherical particles. A lattice Boltzmann approach based on a two relaxation time collision operator is used to obtain reliable predictions of…

Fluid Dynamics · Physics 2014-10-08 Simon Bogner , Swati Mohanty , Ulrich Rüde

In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differential inclusion. By considering the relaxation of the…

Analysis of PDEs · Mathematics 2021-06-15 Björn Gebhard , József J. Kolumbán , László Székelyhidi