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Here we build some effective boundary conditions to be used in numerical calculations in order to avoid the thin meshing usually required in problems involving Hartmann layers near a locally plane wall. Wall model are provided for both…

Fluid Dynamics · Physics 2020-06-15 Alban Pothérat , Joël Sommeria , René Moreau

Superhydrophobic surfaces (SHSs) can reduce the friction drag in turbulent flows. In the laminar regime, it has been shown that trace amounts of surfactant can negate this drag reduction, at times rendering these surfaces no better than…

In high-quality conductors, the hydrodynamic regime of electron transport has been recently realized. In this work we theoretically investigate magnetotransport of a viscous electron fluid in samples with electron-impermeable obstacles. We…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 P. S. Alekseev , A. P. Dmitriev

We investigate the linear stability of a sinusoidal shear flow with an initially uniform streamwise magnetic field in the framework of incompressible magnetohydrodynamics (MHD) with finite resistivity and viscosity. This flow is known to be…

Fluid Dynamics · Physics 2022-10-19 Adrian E. Fraser , Imogen G. Cresswell , Pascale Garaud

Three-dimensional numerical simulations of decaying turbulence in a magnetized plasma are performed using a so-called FLR-Landau fluid model which incorporates linear Landau damping and finite Larmor radius (FLR) corrections. It is shown…

Plasma Physics · Physics 2015-05-30 P. Hunana , D. Laveder , T. Passot , P. L. Sulem , D. Borgogno

We provide a systematic derivation of boundary layer models in magnetohydrodynamics (MHD), through an asymptotic analysis of the incompressible MHD system. We recover classical linear models, related to the famous Hartmann and Shercliff…

Analysis of PDEs · Mathematics 2017-06-28 David Gerard-Varet , Marco Prestipino

Visco-resistive magnetohydrodynamic turbulence, driven by a two-dimensional unstable shear layer that is maintained by an imposed body force, is examined by decomposing it into dissipationless linear eigenmodes of the initial profiles. The…

Fluid Dynamics · Physics 2022-09-14 B. Tripathi , A. E. Fraser , P. W. Terry , E. G. Zweibel , M. J. Pueschel

Wall-cooling effect in hypersonic boundary layers can significantly alter the near-wall turbulence behavior, which is not accurately modeled by traditional RANS turbulence models. To address this shortcoming, this paper presents a…

Fluid Dynamics · Physics 2025-04-17 Muhammad I. Zafar , Xuhui Zhou , Christopher J. Roy , David Stelter , Heng Xiao

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

Fluid Dynamics · Physics 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

Flow reversals are rarely observed in low-Prandtl-number liquid metal convection due to the fluid's exceptionally high thermal diffusivity. Here, we demonstrate that an external transverse magnetic field can induce such reversals in a…

Fluid Dynamics · Physics 2025-11-11 Yan-Wu Cao , Ming-Zhu Ai , Long Chen , Juan-Cheng Yang , Ming-Jiu Ni

In this paper we explore a possibility that all transport turbulent models are contained in a coarse-grained kinetic equation. Building on a recent work by H.Chen et al (2004), we account for fluctuations of a single -point probability…

Cellular Automata and Lattice Gases · Physics 2007-07-05 Victor Yakhot

We experimentally assess the capabilities of an active, open-loop technique for drag reduction in turbulent wall flows recently introduced by Quadrio et al. [J. Fluid Mech., v.627, 161, (2009)]. The technique consists in generating…

Fluid Dynamics · Physics 2015-05-19 Franco Auteri , Arturo Baron , Marco Belan , Gabriele Campanardi , Maurizio Quadrio

The first spherical accretion model was developed 55 years ago, but the theory is yet far from being complete. The real accretion flow was found to be time-dependent and turbulent. This paper presents the minimal MHD spherical accretion…

Astrophysics · Physics 2009-11-13 Roman V. Shcherbakov

The shear shallow water model provides an approximation for shallow water flows by including the effect of vertical shear in the model. This model can be derived from the depth averaging process by including the second order velocity…

Numerical Analysis · Mathematics 2020-07-30 Praveen Chandrashekar , Boniface Nkonga , Asha Kumari Meena , Ashish Bhole

We analyze a set of bidirectional wave experiments in a linear wave flume of which some are conducive to integrable turbulence. In all experiments the wavemaker forcing is sinusoidal and the wave motion is recorded by seven high-resolution…

Fluid Dynamics · Physics 2022-10-11 Ivan Redor , Hervé Michallet , Nicolas Mordant , Eric Barthélemy

A method of construction of decomposition of correlation functions of developed turbulence in a compressible fluid on Mach number {\em Ma} is generalized now for a model of stochastic magnetic hydrodynamics. With the help of the field…

chao-dyn · Physics 2008-02-03 D. Yu. Wolchenkov

Consider the motion of a thin layer of electrically conducting fluid, between two closely spaced parallel plates, in a classical Hele-Shaw geometry. Furthermore, let the system be immersed in a uniform external magnetic field (normal to the…

Fluid Dynamics · Physics 2024-09-24 Kyle McKee

We explore some consequences of the ``alpha model,'' also called the ``Lagrangian-averaged'' model, for two-dimensional incompressible magnetohydrodynamic (MHD) turbulence. This model is an extension of the smoothing procedure in fluid…

Fluid Dynamics · Physics 2009-11-10 P. D. Mininni , D. C. Montgomery , A. G. Pouquet

A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the nonlinear stage of the…

Fluid Dynamics · Physics 2020-07-15 Alexander Chesnokov , Valery Liapidevskii

We develop an analytical theoretical model for non-linear hydrodynamic magnetotransport of two-dimensional (2D) electron fluid with strong pair correlations in the electron dynamics. Within classical kinetics of 2D electrons, such…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 P. S. Alekseev , M. A. Semina