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In our recent works we proposed a theory of turbulence in inertial gas flow via the mean field effect of an intermolecular potential. We found that, in inertial flow, turbulence indeed spontaneously develops from a laminar initial…

Fluid Dynamics · Physics 2022-12-14 Rafail V. Abramov

Fluid turbulence is commonly associated with stronger drag, greater heat transfer, and more efficient mixing than in laminar flows. In many natural and industrial settings, turbulent liquid flows contain suspensions of dispersed bubbles and…

Fluid Dynamics · Physics 2020-05-29 Varghese Mathai , Detlef Lohse , Chao Sun

We consider transport of passive particles in steady laminar plane flows of incompressible viscous fluids. While drifting along the streamlines, the particles experience alternating accelerations and slowdowns. For an ensemble of particles,…

Fluid Dynamics · Physics 2025-10-02 Michael A. Zaks , Alexander Nepomnyashchy

We consider steady gravity-driven flow of a thin layer of viscous fluid over a curved substrate. The substrate has topographical variations (`bumps') on a large scale compared to the layer thickness. Using lubrication theory, we find the…

Chaotic Dynamics · Physics 2007-05-23 Jean-Luc Thiffeault , Khalid Kamhawi

The interaction of flexible polymers with fluid flows leads to a number of intriguing phenomena observed in laboratory experiments, namely drag reduction, elastic turbulence and heat transport modification in natural convection, and is one…

Fluid Dynamics · Physics 2018-10-29 Roberto Benzi , Emily S. C. Ching

In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and…

Analysis of PDEs · Mathematics 2025-07-16 Haocheng Yang

Using experiments and theory, we show that light scattering by inhomogeneities in the index of refraction of a fluid can drive a large-scale flow. The experiment uses a near-critical, phase-separated liquid, which experiences large…

We consider a fluid dynamo model generated by the flow on both sides of a moving layer. The magnetic permeability of the layer is larger than that of the flow. We show that there exists an optimum value of magnetic permeability for which…

Fluid Dynamics · Physics 2014-11-04 Johann Herault , François Pétrélis

Membrane pores are implicated in several critical functions, including cell fusion and the transport of signaling molecules for intercellular communication. However, these structural features are often difficult to probe directly. Droplet…

Soft Condensed Matter · Physics 2025-11-13 Nivedina A. Sarma , David A. King , Xuefei Wu , Brett A. Helms , Paul D. Ashby , Thomas P. Russell , Ahmad K. Omar

In this study, we investigate the appeared complexity of two-phase flow (air-water) in a heterogeneous soil where the supposed porous media is non-deformable media which is under the time-dependent gas pressure. After obtaining of governing…

Computational Engineering, Finance, and Science · Computer Science 2010-05-20 Hamed . O. Ghaffari

This contribution identifies and characterizes a previously unrecognized boundary--layer structure that occurs in the context of linear transport theory, with an impact on the fields of Radiative Transfer and Neutron Transport. The…

Materials Science · Physics 2021-09-29 E. L. Gaggioli , D. M. Mitnik , O. P. Bruno

The meniscal tissue is a layered material with varying properties influenced by collagen content and arrangement. Understanding the relationship between structure and properties is crucial for disease management, treatment development, and…

Computational Engineering, Finance, and Science · Computer Science 2023-07-26 J. Waghorne , F. P. Bonomo , A. Rabbani , D. Bell , O. Barrera

Diffusion is the result of repeated random scattering. It governs a wide range of phenomena from Brownian motion, to heat flow through window panes, neutron flux in fuel rods, dispersion of light in human tissue, and electronic conduction.…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Zhou Shi , Azriel Z. Genack

The last decade has seen a strong increase of research into flows in fractured porous media, mainly related to subsurface processes, but also in materials science and biological applications. Connected fractures totally dominate…

Geophysics · Physics 2018-05-16 Inga Berre , Florian Doster , Eirik Keilegavlen

Hypothesis: Immiscible liquids are commonly used to achieve unique functions in many applications, where the breakup of compound droplets in airflow is an important process. Due to the existence of the liquid-liquid interface, compound…

Fluid Dynamics · Physics 2023-12-27 Zhikun Xu , Yue Zhang , Tianyou Wang , Zhizhao Che

A common mechanism for intracellular transport is the use of controlled deformations of the membrane to create spherical or tubular buds. While the basic physical properties of homogeneous membranes are relatively well-known, the effects of…

Biological Physics · Physics 2009-11-10 Jean-Marc Allain , Cornelis Storm , Aurelien Roux , Martine Ben Amar , Jean-Francois Joanny

We present a comprehensive workflow to simulate single-phase flow and transport in fractured porous media using the discrete fracture matrix approach. The workflow has three primary parts: (1) a method for conforming mesh generation of and…

Computational Engineering, Finance, and Science · Computer Science 2022-07-27 Jeffrey D. Hyman , Matthew R. Sweeney , Carl W. Gable , Daniil Svyatsky , Konstantin Lipnikov , J. David Moulton

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

Numerical Analysis · Mathematics 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

In a recent paper [1] we developed a theoretical model to describe current transients arising during electrochemical deposition experiments performed at the bottom of sub-micrometric cylindrical vessels with permeable walls. In the present…

Chemical Physics · Physics 2011-12-09 P. C. T. DÁjello , M. L. Sartorelli , L. Lauck

Flow through passive porous media is typically described in terms of a linear theory relating current fluxes and driving forces, in the presence of a prescribed heterogeneous permeability. However, many porous systems such as glacial…

Statistical Mechanics · Physics 2015-04-08 Samuel A. Ocko , L. Mahadevan
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