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Granular intrusion is commonly observed in natural and human-made settings. Unlike typical solids and fluids, granular media can simultaneously display fluid-like and solid-like characteristics in a variety of intrusion scenarios. This…

Soft Condensed Matter · Physics 2021-07-16 Shashank Agarwal , Andras Karsai , Daniel I Goldman , Ken Kamrin

An accurate prediction of the translational and rotational motion of particles suspended in a fluid is only possible if a complete set of correlations for the force coefficients of fluid-particle interaction is known. The present study is…

Fluid Dynamics · Physics 2020-09-24 Martyna Minakowska , Thomas Richter , Sebastian Sager

In this article, the notion of a mathematical model in science is attempted to be enlightened from several points of view. In particular, it is shown that mathematical models are introduced differently and used differently in different…

History and Overview · Mathematics 2022-05-25 Inge S. Helland

We discuss a class of models for particulate gels in which the particle contacts are described by an effective interaction combining a two-body attraction and a three-body angular repulsion. Using molecular dynamics, we show how varying the…

Soft Condensed Matter · Physics 2021-08-05 Minaspi Bantawa , Wayan A. Fontaine-Seiler , Peter D. Olmsted , Emanuela Del Gado

We study the dynamics of small perturbations to the rest state of a viscoelastic rate type fluid with temperature dependent material parameters. We show that if the material parameters are chosen appropriately, then the quiescent state of…

Fluid Dynamics · Physics 2017-05-24 Judith Stein , Vít Průša

In this paper, we investigate the magnetohydrodynamic viscous flow with second order slip flow model over a permeable shrinking surface. We have obtained the closed form of exact solution of Navier-Stokes equations by using similarity…

Fluid Dynamics · Physics 2016-06-28 T. Mahmood , S. Munawar Shah , G. Abbas

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

In this article, microscopic understanding of the surface tension are provided, which needs basic knowledge of thermodynamics, statistical mechanics as well as continuum mechanics. By introducing the intermolecular interaction potential and…

Soft Condensed Matter · Physics 2023-09-08 Yasutaka Yamaguchi , Hiroshi Kawamura

We present a comprehensive rheological study of a suspension of thermosensitive particles dispersed in water. The volume fraction of these particles can be adjusted by the temperature of the system in a continuous fashion. Due to the finite…

Soft Condensed Matter · Physics 2009-04-21 Miriam Siebenbuerger , Matthias Fuchs , Henning Winter , Matthias Ballauff

We give a pedagogical review of relativistic hydrodynamics relevant to relativistic heavy ion collisions. Topics discussed include linear response theory derivation of 2nd order viscous hydrodynamics including the Kubo formulas, kinetic…

High Energy Physics - Phenomenology · Physics 2015-07-22 Sangyong Jeon , Ulrich Heinz

Viscoelastic materials containing bubbles or drops are encountered in numerous application fields, and are presently the object of much interest. The motion of bubbles and drops in these matrices can be significantly different than in…

Soft Condensed Matter · Physics 2023-03-17 Dominique Langevin

Many practically relevant materials combine properties of viscous fluids and elastic solids to viscoelastic behavior. Our focus is on the induced dynamic behavior of damped finite-sized particulate inclusions in such substances. We…

Soft Condensed Matter · Physics 2019-01-04 Mate Puljiz , Andreas M. Menzel

This paper deals with flow-induced shape transitions of elastic capsules. The state of the art concerning both theory and experiments is briefly reviewed starting with dynamically induced small deformation of initially spherical capsules…

Soft Condensed Matter · Physics 2011-04-25 Reimar Finken , Steffen Kessler , Udo Seifert

We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical…

Mathematical Physics · Physics 2024-02-13 Jan Scherz , Anja Schlömerkemper

Driven by fundamental thermodynamic efficiency considerations, an emerging trend in the energy and propulsion systems is that the working fluid operates at a pressure above the critical pressure. Energy transport is thus accompanied by…

Fluid Dynamics · Physics 2024-08-05 Zhouhang Li , Daniel T. Banuti , Jie Ren , Junfu Lyu , Hua Wang , Xu Chu

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective…

High Energy Physics - Theory · Physics 2015-06-05 Pavel Kovtun

Subdiffusion has been proposed as an explanation of various kinetic phenomena inside living cells. In order to fascilitate large-scale computational studies of subdiffusive chemical processes, we extend a recently suggested mesoscopic model…

Analysis of PDEs · Mathematics 2018-02-19 Emilie Blanc , Stefan Engblom , Andreas Hellander , Per Lötstedt

Fundamental thermodynamic concepts and an earlier elastic solid-state point defect model are employed to formulate an analytical second-order olynomial function describing the density scaling of the diffusion coefficient in viscous liquids.…

Soft Condensed Matter · Physics 2010-08-13 Anthony N. Papathanassiou

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At…

Soft Condensed Matter · Physics 2016-10-10 Sarthok Sircar , Anthony J. Roberts

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat
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