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The flow of power law fluids, which include shear thinning and shear thickening as well as Newtonian as a special case, in networks of interconnected elastic tubes is investigated using a residual based pore scale network modeling method…

Fluid Dynamics · Physics 2015-04-27 Taha Sochi

In this paper, we revise Maxwell's constitutive relation and formulate a system of first-order partial differential equations with two parameters for compressible viscoelastic fluid flows. The system is shown to possess a nice…

Mathematical Physics · Physics 2015-06-15 Wen-An Yong

We consider the motion of several rigid bodies immersed in a two-dimensional incompress-ible perfect fluid, the whole system being bounded by an external impermeable fixed boundary. The fluid motion is described by the incompressible Euler…

Analysis of PDEs · Mathematics 2019-04-15 Olivier Glass , Christophe Lacave , Alexandre Munnier , Franck Sueur

Rheological properties of dense flows of hard particles are singular as one approaches the jamming threshold where flow ceases, both for aerial granular flows dominated by inertia, and for over-damped suspensions. Concomitantly, the…

Soft Condensed Matter · Physics 2015-06-17 E. DeGiuli , G. Düring , E. Lerner , M. Wyart

Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case of a viscosity that depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general…

Dynamical Systems · Mathematics 2009-11-13 A. J. Roberts

We present an overdamped continuum description of oriented active solids in which interactions respect the symmetries of space but do not obey the principle of action and reaction. Taking position and orientation as kinematic variables, we…

Soft Condensed Matter · Physics 2025-09-16 Balázs Németh , Takuya Kobayashi , Ronojoy Adhikari

In the absence of inertia, a reciprocal swimmer achieves no net motion in a viscous Newtonian fluid. Here, we investigate the ability of a reciprocally actuated particle to translate through a complex fluid that possesses a network using…

Fluid Dynamics · Physics 2015-06-18 David A. Gagnon , Nathan C. Keim , Xiaoning Shen , Paulo E. Arratia

We investigate the steady uniform shear flow of a granular gas composed of inelastic and rough Maxwell particles. Exploiting the mean-field character of the model, we derive exact expressions for the collisional production rates of the…

Soft Condensed Matter · Physics 2026-02-27 Andrés Santos , Gilberto M. Kremer

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

Understanding particle transport and localisation in porous channels, especially at moderate Reynolds numbers, is relevant for many applications ranging from water reclamation to biological studies. Recently, researchers experimentally…

Fluid Dynamics · Physics 2019-01-30 Mike Garcia , Baskar Ganapathysubramanian , Sumita Pennathur

The paper develops a continuum theory of weak viscoelastic nematodynamics of Maxwell type. It may describe the molecular elasticity effects in mono-domain flows of liquid crystalline polymers as well as the viscoelastic effects in…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov

Motility is a fundamental feature of living matter, encompassing single cells and collective behavior. Such living systems are characterized by non-conservativity of energy and a large diversity of spatio-temporal patterns. Thus,…

Soft Condensed Matter · Physics 2023-10-25 Kenta Ishimoto , Clément Moreau , Kento Yasuda

The aim of this paper is to propose a new numerical model to simulate 2D vesicles interacting with a newtonian fluid. The inextensible membrane is modeled by a chain of circular rigid particles which are maintained in cohesion by using two…

Mathematical Physics · Physics 2012-02-15 Mourad Ismail , Aline Lefebvre-Lepot

We compute the leading-order inertial corrections to the instantaneous force acting on a rigid body moving with a time-dependent slip velocity in a linear flow field, assuming that the variation of the undisturbed flow at the body scale is…

Fluid Dynamics · Physics 2025-10-01 Fabien Candelier , Bernhard Mehlig , Jacques Magnaudet

The translation and shape deformations of a passive viscous Newtonian droplet immersed in an active nematic liquid crystal under circular confinement are analyzed using a linear stability analysis. We focus on the case of a sharply aligned…

Soft Condensed Matter · Physics 2025-07-29 Tanumoy Dhar , Michael J. Shelley , David Saintillan

We have proposed a method for the dynamic simulation of a collection of self-propelled particles in a viscous Newtonian fluid. We restrict attention to particles whose size and velocity are small enough that the fluid motion is in the…

Soft Condensed Matter · Physics 2015-05-13 Vishwajeet Mehandia , Prabhu R. Nott

We compute the full set of second-order inertial corrections to the instantaneous force and torque acting on a small spherical rigid particle moving unsteadily in a general steady linear flow. This is achieved by using matched asymptotic…

Fluid Dynamics · Physics 2023-12-21 Fabien Candelier , Rabah Mehaddi , Bernhard Mehlig , Jacques Magnaudet

From the mesoscopic point of view, a new concept of soft matching for mass points is proposed. Then a soft Lasso's approach to learn the soft dynamical equation for the physical mechanical relationship is proposed, too. Furthermore, a…

Fluid Dynamics · Physics 2023-11-14 Zongmin Wu , Ran Yang

A variational principle is derived for two-dimensional incompressible rotational fluid flow with a free surface in a moving vessel when both the vessel and fluid motion are to be determined. The fluid is represented by a stream function and…

Fluid Dynamics · Physics 2020-02-20 H. Alemi Ardakani , T. J. Bridges , F. Gay-Balmaz , Y. Huang , C. Tronci

Flagella beating in complex fluids are significantly influenced by viscoelastic stresses. Relevant examples include the ciliary transport of respiratory airway mucus and the motion of spermatozoa in the mucus-filled female reproductive…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga
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