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In most settings, from international pipelines to home water supplies, the drag caused by turbulence raises pumping costs many times higher than if the flow were laminar. Drag reduction has therefore long been an aim of high priority. In…

Fluid Dynamics · Physics 2019-02-14 Ashley P. Willis , Yongyun Hwang , Carlo Cossu

We study the 3D magnetohydrodynamics (MHD) equations in an annular cylinder, perturbed around the explicit steady state given by the 3D Taylor-Couette velocity field and zero magnetic field. Combining a recent linear instability result for…

Analysis of PDEs · Mathematics 2025-10-15 Víctor Navarro-Fernández , David Villringer

The effect of uniform magnetic field applied along a fixed horizontal direction in Rayleigh-B\'enard convection in low-Prandtl-number fluids has been studied using a low dimensional model. The model shows the onset of convection (primary…

Pattern Formation and Solitons · Physics 2014-02-13 Pinaki Pal , Krishna Kumar

We establish a shallow water model for flows of electrically conducting fluids in homogeneous static magnetic fields that are confined between two parallel planes where turbulent Hartmann layers are present. This is achieved by modelling…

Fluid Dynamics · Physics 2020-06-09 Alban Pothérat , Jean-Philippe Schweitzer

We present hydrodynamic and magneto-hydrodynamic simulations of a liquid sodium flow using the compressible MHD code PLUTO to investigate the magnetic field regeneration in the Von-Karman-Sodium dynamo experiment. The aim of the study is to…

Plasma Physics · Physics 2017-08-08 J. Varela , S. Brun , B. Dubrulle , C. Nore

The nonaxisymmetric azimuthal magnetorotational instability is studied for hydromagnetic Taylor-Couette flows between cylinders of finite electrical conductivity. We find that the magnetic Prandtl number Pm determines whether perfectly…

Fluid Dynamics · Physics 2018-10-10 Günther Rüdiger , Manfred Schultz , Frank Stefani , Rainer Hollerbach

The relation between the shape of the force driving a turbulent flow and the upper bound on the dimensionless dissipation factor $\beta$ is presented. We are interested in non-trivial (more than two wave numbers) forcing functions in a…

Fluid Dynamics · Physics 2011-09-16 B. Rollin , Y. Dubief , C. R. Doering

There is no standard numerical implementation of the Hall effect, which is one of the non-ideal magnetohydrodynamic (MHD) effects. Numerical instability arises when a simple implementation is used, in which the Hall electric field is added…

Plasma Physics · Physics 2025-03-20 Kazunari Iwasaki , Kengo Tomida

For understanding magnetic effects on dynamical tides, we study the rotating magneto-hydrodynamic (MHD) flow driven by harmonic forcing. The linear responses are analytically derived in a periodic box under the local WKB approximation. Both…

Solar and Stellar Astrophysics · Physics 2016-08-31 Xing Wei

We study the experimental properties of exchange flows in a stratified inclined duct (SID), which are simultaneously turbulent, strongly stratified by a mean vertical density gradient, driven by a mean vertical shear, and continuously…

Fluid Dynamics · Physics 2022-03-14 Adrien Lefauve , P. F. Linden

We investigate why the non-slip boundary condition for the velocity, imposed in the direction of impressed magnetic fields, can contribute to the magnetic inhibition effect based on the nonhomogeneous magnetic Rayleigh--Taylor (abbr. NMRT)…

Mathematical Physics · Physics 2019-03-27 Fei Jiang , Song Jiang

We report on direct numerical simulations of the effect of electrostatic charges on particle-laden duct flows. The corresponding electrostatic forces are known to affect particle dynamics at small scales and the associated turbophoretic…

Fluid Dynamics · Physics 2020-12-30 Holger Grosshans , Claus Bissinger , Mathieu Calero , Miltiadis V. Papalexandris

We show that the energy required by a turbulent flow to displace a given amount of fluid through a straight duct in a given time interval can be reduced by modulating in time the pumping power. The control strategy is hybrid: it is passive,…

Fluid Dynamics · Physics 2024-05-15 Giulio Foggi Rota , Alessandro Monti , Marco E. Rosti , Maurizio Quadrio

We have performed direct numerical simulation of the turbulent flow of a polymer solution in a square duct, with the FENE-P model used to simulate the presence of polymers. First, a simulation at a fixed moderate Reynolds number is…

A two-dimensional flow in a 90 degree bent channel is considered. A magnetic field is uniform and parallel to inlet branch of the channel. A spectral/hp element method was used for liquid motion calculations. Three types of steady flows…

Fluid Dynamics · Physics 2018-08-29 Alexander V. Proskurin , Anatoly M. Sagalakov

The transport of angular momentum in the outward direction is the fundamental requirement for accretion to proceed in an accretion disc. This objective can be achieved if the accretion flow is turbulent. Instabilities are one of the sources…

Astrophysics of Galaxies · Physics 2014-11-21 Mradul Sharma

In magnetohydrodynamic (MHD) flows, incompressibility is assumed for low Mach numbers. However, even at low Mach numbers, the Mach number influences flow and magnetic fields. Therefore, it is necessary to develop a method that can stably…

Fluid Dynamics · Physics 2025-12-24 Hideki Yanaoka

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 hydrodynamic turbulence, the kinetic energy injected at large scales cascades to the inertial range, leading to a constant kinetic energy flux. In contrast, in magnetohydrodynamic (MHD) turbulence, a fraction of kinetic energy is…

Fluid Dynamics · Physics 2020-05-20 Mahendra K. Verma , Shadab Alam , Soumyadeep Chatterjee

Analytical/quasi-analytical solutions are proposed for a steady, compressible, two-phase flow in mechanical equilibrium in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between a…

Fluid Dynamics · Physics 2024-04-17 Solène Schropff , Fabien Petitpas , Eric Daniel