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The decay of homogeneous isotropic turbulence in a variable viscosity fluid with a viscosity ratio up to 15 is analyzed by means of highly resolved direct numerical simulations (DNS) at low Reynolds numbers. The question addressed by the…

Fluid Dynamics · Physics 2018-09-21 Michael Gauding , Luminita Danaila , Emilien Varea

Experimental and numerical studies of incompressible turbulence suggest that the mean dissipation rate of kinetic energy remains constant as the Reynolds number tends to infinity (or the non-dimensional viscosity tends to zero). This…

Fluid Dynamics · Physics 2025-04-21 Kartik P. Iyer , Theodore D. Drivas , Gregory L. Eyink , Katepalli R. Sreenivasan

The physical nature of compressible turbulence is of fundamental importance in a variety of astrophysical settings. We present the first direct evidence that mean kinetic energy cascades conservatively beyond a transitional "conversion"…

Chaotic Dynamics · Physics 2015-05-30 Hussein Aluie , Shengtai Li , Hui Li

We suggested a one-fluid model of a turbulent dilute suspension which accounts for the ``two-way'' fluid-particle interactions by $k$-dependent effective density of suspension and additional damping term in the Navier-Stokes equation. We…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov

Classical eddy viscosity models add a viscosity term with turbulent viscosity coefficient developed beginning with the Kolmogorov-Prandtl parameterization. Approximations of unknown accuracy of the unknown mixing lengths and turbulent…

Numerical Analysis · Mathematics 2026-03-17 William Layton

Diverse processes rely on the viscous flow of polymer solutions through porous media. In many cases, the macroscopic flow resistance abruptly increases above a threshold flow rate in a porous medium---but not in bulk solution. The reason…

Fluid Dynamics · Physics 2022-06-07 Christopher A. Browne , Sujit S. Datta

The aim of this study is to improve the prediction of near-wall mean streamwise velocity profile $U^+$ by using a simple method. The $U^+$ profile is obtained by solving the momentum equation which is written as an ordinary differential…

Fluid Dynamics · Physics 2011-06-07 Rafik Absi

Turbulence is one of the most prototypical phenomena of systems driven out of equilibrium. While turbulence has been studied mainly with classical fluids like water, considerable attention is now drawn to quantum turbulence (QT), observed…

Quantum Gases · Physics 2016-09-07 Masahiro Takahashi , Michikazu Kobayashi , Kazumasa A. Takeuchi

Turbulent flows over porous substrates are studied via a systematic exploration of the dependence of the flow properties on the substrate parameters, including permeability $K$, grain pitch $L$, and depth $h$. The study uses direct…

Fluid Dynamics · Physics 2025-04-02 Zengrong Hao , Ricardo García-Mayoral

A turbulent mean profile for pipe flow is prescribed which closely matches experimental observations. The nature of perturbations superimposed upon this profile is then considered. Optimal growth calculations predict two distinct classes of…

Fluid Dynamics · Physics 2009-08-27 A. P. Willis , Y. Hwang , C. Cossu

Flows in fluid layers are ubiquitous in industry, geophysics and astrophysics. Large-scale flows in thin layers can be considered two-dimensional (2d) with bottom friction added. Here we find that the properties of such flows depend…

Fluid Dynamics · Physics 2018-10-24 Gregory Falkovich , Natalia Vladimirova

In a recent paper, a continuum theory of immiscible and incompressible two-phase flow in porous media based on generalized thermodynamic principles was formulated (Transport in Porous Media, 125, 565 (2018)). In this theory, two immiscible…

Fluid Dynamics · Physics 2025-02-05 Håkon Pedersen , Alex Hansen

Fluid turbulence is an important problem for physics and engineering. Turbulence modeling deals with the development of simplified models that can act as surrogates for representing the effects of turbulence on flow evolution. Such models…

Fluid Dynamics · Physics 2021-11-16 J P Panda

We investigate the flow of various non-Newtonian fluids through three-dimensional disordered porous media by direct numerical simulation of momentum transport and continuity equations. Remarkably, our results for power-law (PL) fluids…

Fluid Dynamics · Physics 2009-11-09 Apiano F. Morais , Hansjoerg Seybold , Hans J. Herrmann , José S. Andrade

We study the flow of a generalized Newtonian fluid, characterized by a power-law model, through a channel consisting of a wall with a flexible membrane under longitudinal tension. It is assumed that at steady state the flow through the…

Fluid Dynamics · Physics 2016-09-23 Prakash Goswami , Aditya Bandopadhyay , Suman Chakraborty

We present a model for the dynamics of fluid vesicles in linear flow which consistently includes thermal fluctuations and nonlinear coupling between different modes. At the transition between tank-treading and tumbling, we predict a…

Soft Condensed Matter · Physics 2013-06-10 David Abreu , Udo Seifert

A central obstacle to understanding the route to turbulence in wall-bounded flows is that the flows are composed of complex, highly fluctuating, and strongly nonlinear states. In the case of pipe flow, models have deepened our understanding…

Fluid Dynamics · Physics 2026-02-24 Santiago J. Benavides , Dwight Barkley

We perform direct numerical simulations of the flow through a model of a deformable porous medium. Our model is a two-dimensional hexagonal lattice, with defects, of soft elastic cylindrical pillars, with elastic shear modulus $G$, immersed…

Fluid Dynamics · Physics 2021-09-09 Marco E. Rosti , Satyajit Pramanik , Luca Brandt , Dhrubaditya Mitra

A universal theory of linear instabilities in swirling flows, occurring in both natural settings and industrial applications, is formulated. The theory encompasses a wide range of open and confined flows, including spiral isothermal flows…

Fluid Dynamics · Physics 2025-02-06 Oleg N. Kirillov , Innocent Mutabazi

We analyze the steady fluid flow in a porous medium containing a network of thin fissures i.e. width $\mathcal{O}(\epsilon)$, where all the cracks are generated by the rigid translation of a continuous piecewise $C^{1}$ functions in a fixed…

Analysis of PDEs · Mathematics 2013-12-17 Fernando A. Morales
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