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A scaling analysis is undertaken for the load balance in sliding friction in the hydrodynamic lubrication regime, with a particular emphasis on power-law shear-thinning typical of a structured liquid. It is argued that the shear-thinning…

Soft Condensed Matter · Physics 2023-07-11 Patrick B. Warren

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

Surrogate models are essential in structural analysis and optimization. We propose a heterogeneous graph representation of stiffened panels that accounts for geometrical variability, non-uniform boundary conditions, and diverse loading…

Computational Engineering, Finance, and Science · Computer Science 2026-01-12 Yuecheng Cai , Jasmin Jelovica

We present a stability analysis for two different rotational pressure correction schemes with open and traction boundary conditions. First, we provide a stability analysis for a rotational version of the grad-div stabilized scheme of [A.…

Numerical Analysis · Mathematics 2016-08-24 Sanghyun Lee , Abner J. Salgado

We formulate and implement the Euler equations with SGS dynamics and provide numerical tests of an SGS turbulence energy model that predicts the turbulent pressure of unresolved velocity fluctuations and the rate of dissipation for highly…

Astrophysics of Galaxies · Physics 2015-05-20 W. Schmidt , C. Federrath

Underground gas storage (UGS) is a critical technology for managing seasonal gas consumption peaks, increasingly important in the face of market uncertainties. However, safety concerns arise when reactivating pre-existing faults in faulted…

To provide a complete local monitoring of the state of an unsaturated soil sample during triaxial testing, a local water content measurement device was adapted to a triaxial device comprising the measurement of local displacements (Hall…

Geophysics · Physics 2013-03-22 José Munoz-Castelblanco , Pierre Delage , Jean-Michel Pereira , Yu-Jun Cui

In this paper we study the dynamics of a layer of incompressible viscous fluid bounded below by a rigid boundary and above by a free boundary, in the presence of a uniform gravitational field. We assume that a mass of surfactant is present…

Analysis of PDEs · Mathematics 2017-02-09 Ian Tice , Lei Wu

Hydraulic jumps are oftentimes encountered in natural and human-made environments. The transition from supercritical to subcritical flow involves large energy dissipation rates and substantial air entrainment, preventing the use of…

Fluid Dynamics · Physics 2022-04-26 Matthias Kramer , Daniel Valero

Mixing and heat transfer rates are typically enhanced when operating at high-pressure transcritical turbulent flow regimes. The rapid variation of thermophysical properties in the vicinity of the pseudo-boiling region can be leveraged to…

Fluid Dynamics · Physics 2024-09-27 Marc Bernades , Francesco Capuano , Lluis Jofre

In this study, we experimentally investigate the stress field around a bubble rising in a dilute surfactant solution (20 < Re < 220, high Peclet numbers) whose surface gradually becomes contaminated, and compare it with that around a sphere…

Fluid Dynamics · Physics 2025-10-01 Hiroaki Kusuno , Yoshiyuki Tagawa

We study the linear stability of transient electrodeposition in a charged random porous medium, whose pore surface charges can be of any sign, flanked by a pair of planar metal electrodes. Discretization of the linear stability problem…

Chemical Physics · Physics 2019-07-09 Edwin Khoo , Hongbo Zhao , Martin Z. Bazant

In this paper we introduce an optimal control approach to Richards' equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under…

Optimization and Control · Mathematics 2023-07-13 Marco Berardi , Fabio V. Difonzo , Roberto Guglielmi

In this work we adapt classical residual-based stabilization techniques to the spline collocation setting. Inspired by the Streamline-Upwind-Petrov-Galerkin and Pressure-Stabilizing-Petrov-Galerkin methods, our stabilized collocation…

Numerical Analysis · Mathematics 2023-06-02 Ryan M. Aronson , Corey Wetterer-Nelson , John A. Evans

The sedimentation of a surfactant-laden deformable viscous drop acted upon by an electric field is considered theoretically. The convection of surfactants in conjunction with the the combined effect electrohydrodynamic flow and…

Fluid Dynamics · Physics 2019-05-09 Antarip Poddar , Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakrabort

In order to analyze the instability phenomenon observed along the Northern High Speed Line of R\'eseau Ferr\'e de France (RFF), soil blocks were taken at a site near the railway, at four different depths (1.2, 2.2, 3.5 and 4.9 m). Cyclic…

Classical Physics · Physics 2009-09-23 Jean-Paul Karam , Yu-Jun Cui , Anh-Minh Tang , Jean-Marc Terpereau , Gilles Marchadier

The collision of a gravitationally-driven horizontal current with a barrier following release from a confining lock is investigated using a shallow water model of the motion, together with a sophisticated boundary condition capturing the…

Fluid Dynamics · Physics 2023-04-19 Edward W. G. Skevington , Andrew J. Hogg

The physics of settling suspensions under shear are investigated by theoretical and numerical analyses of unstable equilibrium solutions to the incompressible Navier-Stokes equations, coupled with an advection-diffusion-settling equation…

Fluid Dynamics · Physics 2026-05-06 Jake Langham , Andrew J. Hogg

Multi-phase flows encountered in nature or in industry, exhibit non trivial rheological properties, that can be understood better thanks to model materials and appropriate rheometers. Here, we use model unsaturated granular materials:…

Soft Condensed Matter · Physics 2021-06-24 Stephanie Deboeuf , Abdoulaye Fall

This work considers the gravitational instability of a saline boundary layer formed by an evaporation-induced flow through a fully-saturated porous slab. Evaporation of saline waters can eventually result in the formation of salt lakes as…

Fluid Dynamics · Physics 2022-10-12 Leon H. Kloker , Carina Bringedal