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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

This article deals with the flow of Newtonian fluids through axially-symmetric corrugated tubes. An analytical method to derive the relation between volumetric flow rate and pressure drop in laminar flow regimes is presented and applied to…

Mathematical Physics · Physics 2010-06-09 Taha Sochi

Buoyancy effects in unstably stratified mixing layers express themselves through gravity currents of heavy fluid which propagate in an ambient lighter fluid. These currents are encountered in numerous geophysical flows, industrial safety…

Chaotic Dynamics · Physics 2007-05-23 Bernard J. Geurts

We study the flow of a generalized Newtonian fluid, characterized by a power-law model, through a channel consisting of a wall with a flexible membrane under longitudinal tension. It is assumed that at steady state the flow through the…

Fluid Dynamics · Physics 2016-09-23 Prakash Goswami , Aditya Bandopadhyay , Suman Chakraborty

Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

Chaotic Dynamics · Physics 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

In this article, the dynamics and complexity of a noise induced blood flow system have been investigated. Changes in the dynamics have been recognized by measuring the periodicity over significant parameters. Chaotic as well as non-chaotic…

Adaptation and Self-Organizing Systems · Physics 2020-01-08 Bo Yan , Sayan Mukherjee , Shaobo He

We study the stability of Couette flow in the 3d Navier-Stokes equations with rotation, as given by the Coriolis force. Hereby, the nature of linearized dynamics near Couette flow depends crucially on the force balance between background…

Analysis of PDEs · Mathematics 2025-01-30 Michele Coti Zelati , Augusto Del Zotto , Klaus Widmayer

The addition of a small amount of long-chain polymers confers viscoelastic properties to Newtonian flows. The resulting non-Newtonian solution now exhibits different dynamics, such as enhanced mixing at low Reynolds, where elastic…

We report on the decay of a passive scalar in chaotic mixing protocols where the wall of the vessel is rotated, or a net drift of fluid elements near the wall is induced at each period. As a result the fluid domain is divided into a central…

Soft Condensed Matter · Physics 2010-07-06 Emmanuelle Gouillart , Jean-Luc Thiffeault , Olivier Dauchot

In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we visualize…

Fluid Dynamics · Physics 2025-04-15 Taha Sochi

The advection of passive tracers in an oscillating vortex chain is investigated. It is shown that by adding a suitable perturbation to the ideal flow, the induced chaotic advection exhibits two remarkable properties compared with a generic…

Chaotic Dynamics · Physics 2007-05-23 Tounsia Benzekri , Cristel Chandre , Xavier Leoncini , Ricardo Lima , Michel Vittot

We discuss chaotic advection in three-dimensional unsteady incompressible laminar flow, and analyse in detail the most important novel advection phenomenon in these flows; the global dispersion of passive scalars in flows with two slow and…

chao-dyn · Physics 2016-08-15 Julyan H. E. Cartwright , Mario Feingold , Oreste Piro

Materials such as foams, concentrated emulsions, dense suspensions or colloidal gels, are yield stress fluids. Their steady flow behavior, characterized by standard rheometric techniques, is usually modeled by a Herschel-Bulkley law. The…

Soft Condensed Matter · Physics 2012-09-20 Guillaume Ovarlez , Sylvie Cohen-Addad , Kapil Krishan , Julie Goyon , Philippe Coussot

Although steady, isotropic Darcy flows are inherently laminar and non-mixing, it is well understood that transient forcing via engineered pumping schemes can induce rapid, chaotic mixing in groundwater. In this study we explore the…

Fluid Dynamics · Physics 2019-07-23 Michael Trefry , Daniel Lester , Guy Metcalfe , Junhong Wu

Turbulent flows have been used for millennia to mix solutes; a familiar example is stirring cream into coffee. However, many energy, environmental, and industrial processes rely on the mixing of solutes in porous media where confinement…

Fluid Dynamics · Physics 2023-11-14 Christopher A. Browne , Sujit S. Datta

Non-linear effects of the Navier-Stokes equations disappear under the Stokes regime of Newtonian fluid flows disallowing the fluid flow rectification. Here we show mathematically and experimentally that passive flow rectification of…

Fluid Dynamics · Physics 2018-11-21 Aryan Mehboudi , Junghoon Yeom

In the turbulent boundary layer of multicomponent fluid mixtures, the species-specific mass flux is determined by the combination of turbulent-diffusiophoretic diffusion and diffusion due to gradients in supplementary fields (e.g.…

Fluid Dynamics · Physics 2018-06-27 Sverre Gullikstad Johnsen

For quite some time non-monotonic flow curve was thought to be a requirement for shear banded flows in complex fluids. Thus, in simple yield stress fluids shear banding was considered to be absent. Recent spatially resolved rheological…

Soft Condensed Matter · Physics 2017-03-01 Marko Korhonen , Mikael Mohtaschemi , Antti Puisto , Xavier Illa , Mikko J. Alava

Cessation of flow in simple yield stress fluids results in a complex stress relaxation process that depends on the preceding flow conditions and leads to finite residual stresses. To assess the microscopic origin of this phenomenon, we…

We perform $3$D numerical simulations to investigate the sedimentation of a single sphere in the absence and presence of a simple cross shear flow in a yield stress fluid with weak inertia. In our simulations, the settling flow is…

Fluid Dynamics · Physics 2020-05-19 Mohammad Sarabian , Marco E. Rosti , Luca Brandt , Sarah Hormozi
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