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Starch solutions, which are strongly non-Newtonian, show a surface instability, when subjected to a load. A droplet of the fluid is sandwiched between two glass plates and a weight varying from 1 to 5 kgs. is placed on the top plate. The…

Soft Condensed Matter · Physics 2010-12-13 Moutushi Dutta Choudhury , Subrata Chandra , Soma Nag , Shantanu Das , Sujata Tarafdar

In this paper, we focus on investigating the influence on hydrodynamic factors of different coupled computational models describing the interaction between an incompressible fluid and two symmetric elastic or poroelastic structures. The…

Fluid Dynamics · Physics 2020-10-28 Tongtong Li , Xing Wang , Ivan Yotov

Fluid--fluid interfacial instability and subsequent fluid mixing are ubiquitous in nature and engineering. The hydrodynamic instability of fluid interfaces has long centered on the pressure gradient-driven long-wavelength Rayleigh--Taylor…

We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immiscible and that the volume of the outer fluid film is large…

Analysis of PDEs · Mathematics 2021-10-01 Christina Lienstromberg , Tania Pernas-Castaño , Juan J. L. Velázquez

We study the sedimentation of finite-size inertial particles in a Rayleigh-Taylor-like setup using state-of-the-art direct numerical simulations. The falling particles are observed to produce two distinct regions: a leading mixing layer…

Fluid Dynamics · Physics 2026-01-28 Simone Tandurella , Marco Edoardo Rosti , Stefano Musacchio , Guido Boffetta

We study enhancement of diffusive mixing by fast incompressible time-periodic flows. The class of relaxation-enhancing flows that are especially efficient in speeding up mixing has been introduced in [2]. The relaxation-enhancing property…

Analysis of PDEs · Mathematics 2007-07-02 Alexander Kiselev , Roman Shterenberg , Andrej Zlatos

Invariant solutions of the Navier-Stokes equations play an important role in the spatiotemporally chaotic dynamics of turbulent shear flows. Despite the significance of these solutions, their identification remains a computational…

Fluid Dynamics · Physics 2023-10-11 Omid Ashtari , Tobias M. Schneider

We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in water-saturated granular materials. The unconsolidated solid…

Analysis of PDEs · Mathematics 2020-12-30 Anna Abbatiello , Miroslav Bulíček , Tomáš Los , Josef Málek , Ondřej Souček

Jammed systems all have a yield stress. Among these materials some have been shown to shear-band but it is as yet unclear why some materials develop shear-band and some others do not. In order to rationalize existing data concerning the…

Soft Condensed Matter · Physics 2010-08-31 Philippe Coussot , Guillaume Ovarlez

We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially periodic mixing flow on the stability of a spatially…

Pattern Formation and Solitons · Physics 2010-11-15 A. V. Straube , A. Pikovsky

The flow of a simple glass forming system (a 80:20 binary Lennard-Jones mixture) through a planar channel is studied via molecular dynamics simulations. The flow is driven by an external body force similar to gravity. Previous studies show…

Soft Condensed Matter · Physics 2015-05-14 Fathollah Varnik , Dierk Raabe

Motivated by the industrial processing of chocolate, we study experimentally the fluidisation of a sessile drop of yield-stress fluid on a pre-existing layer of the same fluid under vertical sinusoidal oscillations. We compare the…

Soft Condensed Matter · Physics 2021-01-29 A. Garg , N. Bergemann , B. Smith , M. Heil , A. Juel

How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling…

Fluid Dynamics · Physics 2026-04-21 Daniel Lester , Marco Dentz

In this work we study the rheological features of yield stress materials that exhibit non-homogeneous steady flows and that are subjected to an additional mechanical noise. Using a mesoscale elasto-plastic model accounting for a viscosity…

Soft Condensed Matter · Physics 2026-01-08 Magali Le Goff , Eric Bertin , Kirsten Martens

Yield stress materials form an interesting class of materials that behave like solids at small stresses, but start to flow once a critical stress is exceeded. It has already been reported both in experimental and simulation work that flow…

Soft Condensed Matter · Physics 2018-04-24 Riande I. Dekker , Maureen Dinkgreve , Henri de Cagny , Dion Koeze , Brian P. Tighe , Daniel Bonn

In this work, we extend the analyses devoted to Newtonian viscous fluids previously reported by Ribe [Physical Review E 68, 036305 (2003)], by investigating shear thickening (dilatant) and shear thinning (pseudoplastic) effects on the…

Fluid Dynamics · Physics 2021-02-16 Anselmo Pereira , Nicolas Valade , Elie Hachem , Rudy Valette

Conflict between formation of a cyclonic vortex and isotropization in forced homogeneous rotating turbulence is numerically investigated. It is well known that a large rotation rate of the system induces columnar vortices to result in…

Fluid Dynamics · Physics 2017-10-04 Naoto Yokoyama , Masanori Takaoka

We introduce a new discretization of a mixed formulation of the incompressible Stokes equations that includes symmetric viscous stresses. The method is built upon a mass conserving mixed formulation that we recently studied. The improvement…

Numerical Analysis · Mathematics 2024-12-20 Jay Gopalakrishnan , Philip L. Lederer , Joachim Schöberl

Solutions of long, flexible polymer molecules are complex fluids that simultaneously exhibit fluid-like and solid-like behaviour. When subjected to an external flow, dilute polymer solutions exhibit elastic turbulence - a unique, chaotic…

Fluid Dynamics · Physics 2024-02-07 Martin Lellep , Moritz Linkmann , Alexander Morozov

Solutions of long, flexible polymer molecules are complex fluids that simultaneously exhibit fluid-like and solid-like behaviour. When subjected to external flows, dilute polymer solutions develop elastic turbulence - a unique chaotic flow…

Fluid Dynamics · Physics 2025-09-04 Alexander Morozov , Martin Lellep , Damiano Capocci , Moritz Linkmann