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In the region between close-to-touching hard inclusions, the stress may be arbitrarily large as the inclusions get closer. The stress is represented by the gradient of a solution to the Lam\'e system of linear elasticity. We consider the…

Analysis of PDEs · Mathematics 2018-10-17 Hyeonbae Kang , Sanghyeon Yu

We consider the withdrawal of a ball from a fluid reservoir to understand the longevity of the connection between that ball and the fluid it breaks away from, at intermediate Reynolds numbers. Scaling arguments based on the processes…

Fluid Dynamics · Physics 2017-12-13 B. Turnbull , M. M. Scase , D. S. Percival

The authors previously introduced an activation model for the onset of shear thickening in electrically stabilized colloidal suspensions. It predicts that shear thickening occurs, when particles arranged along the compression axis in a…

Soft Condensed Matter · Physics 2012-07-12 Joachim Kaldasch , Bernhard Senge , Jozua Laven

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

Airway clearance by coughing is a key mechanism for mucus transport, particularly in obstructive lung diseases associated with altered mucus rheology. We investigate the dynamics of a viscoplastic liquid film driven by flow in a turbulent…

Fluid Dynamics · Physics 2025-10-27 James D. Shemilt , Neil J. Balmforth , Duncan R. Hewitt

Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation and fluid evaporation governed by a one-sided model in a low…

Fluid Dynamics · Physics 2018-02-07 Hangjie Ji , Thomas P. Witelski

This study presents a numerical investigation of how fluid viscoelasticity influences the flow dynamics past a transversely forced oscillating cylinder in the laminar vortex shedding regime at a fixed Reynolds number of 100. In particular,…

Fluid Dynamics · Physics 2023-01-18 Faheem Hamid , C. Sasmal

Condensed water on vertical surfaces ultimately leaves the substrate at the lower edge, where accumulated liquid detaches as drops. While droplet growth and surface transport have been extensively studied, this final release step remains…

Fluid Dynamics · Physics 2026-02-20 Matteo Leonard , Nicolas Vandewalle

We provide a detailed comparison of the two-dimensional, temporal and the spatiotemporal linearized analyses of the viscoelastic free shear flows in the limit of low to moderate Reynolds number and Elasticity number obeying four different…

Fluid Dynamics · Physics 2021-06-02 Diksha Bansal , Dipa Ghosh , Sarthok Sircar

We adopt an operator-theoretic perspective to analyze a class of nonlinear fixed-point iterations and discrete-time dynamical systems. Specifically, we study the Krasnoselskij iteration - at the heart of countless algorithmic schemes and…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Diego Deplano , Sergio Grammatico , Mauro Franceschelli

The turbulent flow over monochromatic waves of moderate steepness is studied by means of wall resolved LES, and cover a range of wave ages and Reynolds numbers. We compute the Fourier modes of the flow and analyse the momentum balance for…

Fluid Dynamics · Physics 2019-10-23 Espen Åkervik , Magnus Vartdal

We present a new high-resolution, non-oscillatory semi-discrete central-upwind scheme for one-dimensional two-layer shallow-water flows with friction and entrainment along channels with arbitrary cross sections and bottom topography. These…

Numerical Analysis · Mathematics 2021-04-08 Gerardo Hernandez-Duenas , Jorge Balbas

We study the one-dimensional capillary-driven retraction of a finite, planar liquid sheet in the asymptotic regime where both the Ohnesorge number $\mathrm{Oh}$ and the initial length-to-thickness ratio $l_0/h_0$ are large. In this regime,…

Fluid Dynamics · Physics 2026-02-03 Taosif Ahsan , Rodolfo Brandão , Benny Davidovitch , Howard A. Stone

The dynamics of entrainment of finite-size heavy particles in a turbulent open channel flow over a smooth surface are analyzed. Three types of simulations, namely with freely moving, rotation-constrained, and spanwise-motion-constrained…

Fluid Dynamics · Physics 2026-01-28 Tatia Bzikadze , Markus Weyrauch , Markus Uhlmann

Spectral/hp element methods and an arbitrary Lagrangian-Eulerian (ALE) moving-boundary technique are used to investigate planar Newtonian extrudate swell. Newtonian extrudate swell arises when viscous liquids exit long die slits. The…

Numerical Analysis · Mathematics 2014-08-25 Susanne Claus , Christopher Cantwell , Tim Phillips

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

The sliding columnar phase is a new liquid-crystalline phase of matter composed of two-dimensional smectic lattices stacked one on top of the other. This phase is characterized by strong orientational but weak positional correlations…

Soft Condensed Matter · Physics 2009-10-31 C. S. O'Hern , T. C. Lubensky

Quantifying the in-plane rheology of epithelial monolayers remains challenging due to the difficulty of imposing controlled shear. We introduce a self-driven, rheometer-like assay in which collective migration generates stationary shear…

Hard spheres in Newtonian fluids serve as paradigms for Non-Newtonian materials phenomena exhibited by colloidal suspensions. A recent experimental study (Cheng et al. 2011 Science, 333, 1276) showed that upon application of shear to such a…

Soft Condensed Matter · Physics 2013-10-07 Xinliang Xu , Stuart A Rice , Aaron R Dinner

For dilute solutions of polymers, chaotic flow states can occur at lower Reynolds numbers than required for inertial turbulence in Newtonian fluids, offering the potential for increased mixing efficiency. These states may be promoted by the…

Fluid Dynamics · Physics 2026-04-08 Jack R. C. King , Henry M. Broadley , Miguel Beneitez