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Mean curvature flows of hypersurfaces have been extensively studied and there are various different approaches and many beautiful results. However, relatively little is known about mean curvature flows of submanifolds of higher…

Differential Geometry · Mathematics 2011-04-19 Mu-Tao Wang

It was recently observed that sand flowing down a vertical tube sometimes forms a traveling density pattern in which a number of regions with high density are separated from each other by regions of low density. In this work, we consider…

Condensed Matter · Physics 2016-08-14 Jysoo Lee , Michael Leibig

Understanding how granular materials respond to shear stress remains a central challenge in soft matter physics. We report direct observations of persistent granular convection in the bulk shear zones of spherical particle packings -- a…

Soft Condensed Matter · Physics 2026-02-02 Mehran Erfanifam , Mahnoush Madani , Reza Shaebani , Maniya Maleki

Granular material on an inclined plane will flow like a fluid if the angle $\theta$ the plane makes with the horizontal is large enough. We employ a modification of a hydrodynamic model introduced previously to describe Couette flow…

Statistical Mechanics · Physics 2009-11-07 Lyderic Bocquet , Jalal Errami , Tom. C. Lubensky

The surface shape of a spinning bucket of granular material is studied using a continuum model of surface flow developed by Bouchaud et al. and Mehta et al. An experimentally observed central subcritical region is reproduced by the model.…

Soft Condensed Matter · Physics 2009-10-31 Chuck Yeung

The flow behavior of granular matter is significantly influenced by the shape of constituent particles. This effect is particularly pronounced for very concave particles, which exhibit unique flow characteristics such as higher porosity and…

Soft Condensed Matter · Physics 2024-03-13 Weiyi Wang , Jonathan Barés , Mathieu Renouf , Emilien Azéma

Gravity-driven flows of granular matter are involved in a wide variety of situations, ranging from industrial processes to geophysical phenomena, such as avalanches or landslides. These flows are characterized by the coexistence of solid…

Soft Condensed Matter · Physics 2020-11-18 Pierre Soulard , Denis Dumont , Thomas Salez , Elie Raphael , Pascal Damman

We investigate the phase diagram of a two-component associating fluid mixture in the presence of selectively adsorbing substrates. The mixture is characterized by a bulk phase diagram which displays peculiar features such as closed loops of…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , U. Marini Bettolo Marconi

Consider a fluid flowing through a junction between two pipes with different sections. Its evolution is described by the 2D or 3D Euler equations, whose analytical theory is far from complete and whose numerical treatment may be rather…

Analysis of PDEs · Mathematics 2009-03-05 Rinaldo M. Colombo , Mauro Garavello

Condensation is an important aspect of many flow applications due to the universal presence of humidity in the air at ambient conditions. For direct numerical simulations of such flows, simulating the gas phase as a mixture characterized by…

Fluid Dynamics · Physics 2022-06-29 Philipp Bahavar , Claus Wagner

We describe a method to address efficiently problems of two-phase flow in the regime of low particle Reynolds number and negligible Brownian motion. One of the phases is an incompressible continuous fluid and the other a discrete…

Condensed Matter · Physics 2016-08-31 Stefan Schwarzer

These are notes prepared for presentation at the workshop "Challenges in Granular Matter" at the Abdus Salam Institute for Theoretical Physics, Trieste, August 2001. Revisions and figures will be added at a later date. Many features of real…

Statistical Mechanics · Physics 2007-05-23 James W. Dufty

Granular heaps are critical in both industrial applications and natural processes, exhibiting complex behaviors that have sparked significant research interest. The stress dip phenomenon observed beneath granular heaps continues to be a…

Soft Condensed Matter · Physics 2024-09-02 Hanyu Li , Houfei Yuan , Zhikun Zeng , Shuyang Zhang , Chijin Zhou , Xinyu Ai , Yujie Wang

The continuum theory of partially fluidized shear granular flows is tested and calibrated using two dimensional soft particle molecular dynamics simulations. The theory is based on the relaxational dynamics of the order parameter that…

Materials Science · Physics 2009-11-10 D. Volfson , L. S. Tsimring , I. S. Aranson

A scenario is put forward for the appearance of three-dimensionality both in quasi-2D rotating flows and quasi-2D magnetohydrodynamic (MHD) flows. We show that 3D recirculating flows and currents originate in wall boundary layers and that,…

Fluid Dynamics · Physics 2012-06-26 Alban Pothérat

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

Drainage in porous media can be broken down into two main mechanisms: a primary piston-like displacement of the interfaces through the bulk of pore bodies and throats, and a secondary slow flow through corners and films in the wake of the…

The study of vortex flows in the vicinity of multiple solid obstacles is of considerable theoretical interest and practical importance. In particular, the case of flows past a circular cylinder placed above a plane wall has attracted a lot…

Fluid Dynamics · Physics 2012-08-29 M. N. Moura , G. L. Vasconcelos

Granular flows are ubiquitous in nature with single flows traversing a wide range of dynamic conditions from initiation to deposition. Many of these flows are responsible for significant hazards and have the ability to generate remotely…

Soft Condensed Matter · Physics 2025-01-20 P. J. Zrelak , Eric C. P. Breard , Josef Dufek

This study examines whether the dispersion of passive particles at the free surface of a generic (nonturbulent) shallow flow can reliably represent the behavior of depth-keeping particles below the surface. A shallow configuration…

Fluid Dynamics · Physics 2026-02-12 Lenin M. Flores Ramírez , Matias Duran-Matute , Herman J. H. Clercx