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We investigate aspects of low-magnetic-Reynolds-number flow between two parallel, perfectly insulating walls, in the presence of an imposed magnetic field parallel to the bounding walls. We find a functional basis to describe the flow, well…

Fluid Dynamics · Physics 2015-05-29 Robert Low , Alban Potherat

The full MHD equations, governing the flow due to the axisymmetric stretching of a sheet in the presence of a transverse magnetic field, can be cast in a self similar form. This allows evaluation of the induced magnetic field and its effect…

Fluid Dynamics · Physics 2018-03-28 Tarek M. A. El-Mistikawy

We consider the influence of a transverse magnetic field on the transient growth of perturbations in a liquid-metal circular pipe flow with an electrically insulating or conducting wall. In this configuration, the mean flow profile and the…

Fluid Dynamics · Physics 2024-05-24 Yelyzaveta Velizhanina , Bernard Knaepen

We study the dynamics of a dilute solution of rigid rodlike polymers in a viscous fluid at low Reynolds number by means of numerical simulations of a simple rheological model. We show that the rotational dynamics of polymers destabilizes…

Fluid Dynamics · Physics 2022-11-11 Leonardo Puggioni , Guido Boffetta , Stefano Musacchio

We consider a 2D incompressible and electrically conducting fluid in the domain $\mathbb{T}\times\mathbb{R}$. The aim is to quantify stability properties of the Couette flow $(y,0)$ with a constant homogenous magnetic field $(\beta,0)$ when…

Analysis of PDEs · Mathematics 2023-08-25 Michele Dolce

We report a laboratory study of the transport of angular momentum by a turbulent flow of an electrically conducting fluid confined in a thin disk. When the electromagnetic force applied to the liquid metal is large enough, the corresponding…

Fluid Dynamics · Physics 2022-08-31 Marlone Vernet , Stephan Fauve , Christophe Gissinger

This study conducts a numerical investigation into the three-dimensional film boiling of liquid under the influence of external magnetic fields. The numerical method incorporates a sharp phase-change model based on the volume-of-fluid…

Fluid Dynamics · Physics 2024-10-02 Hao-Tao Gu , Kirti Chandra Sahu , Jie Zhang , Ming-Jiu Ni

Context: Convectively-driven flows play a crucial role in the dynamo processes that are responsible for producing magnetic activity in stars and planets. It is still not fully understood why many astrophysical magnetic fields have a…

Solar and Stellar Astrophysics · Physics 2018-05-09 P. J. Bushby , P. J. Käpylä , Y. Masada , A. Brandenburg , B. Favier , C. Guervilly , M. J. Käpylä

We study the magneto-rotational instability of an incompressible flow which rotates with angular velocity Omega(r)=a+b/r^2 where r is the radius and $a$ and b are constants. We find that an applied magnetic field destabilises the flow, in…

Astrophysics · Physics 2008-11-26 Ashley P. Willis , Carlo F. Barenghi

The transition route from laminar to turbulent flow in a magnetohydrodynamic (MHD) duct with a square cross-section is investigated in the limit of low magnetic Reynolds number. In the presence of a transverse magnetic field, Hartmann and…

Fluid Dynamics · Physics 2025-01-15 Mattias Brynjell-Rahkola , Yohann Duguet , Thomas Boeck

The thermomagnetic convection of magnetic fluids in a cylindrical geometry subjected to a homogeneous magnetic field is studied. The study is motivated by a novel thermal instability [W. Luo et al., Phys. Rev. Lett. 82, 4134 (1999)]. As…

Pattern Formation and Solitons · Physics 2009-11-07 Adrian Lange

It is generally acknowledged that a hanging cantilevered pipe conveying fluid becomes unstable by flutter-type instability at a critical flow velocity; moreover, the pipe undergoes periodic self-excited oscillations in the post-flutter…

Soft Condensed Matter · Physics 2022-12-26 Amir Mehdi Dehrouyeh-Semnani

We analyse numerically the linear stability of the fully developed liquid metal flow in a square duct with insulating side walls and thin electrically conducting horizontal walls with the wall conductance ratio $c=0.01\cdots 1$ subject to a…

Fluid Dynamics · Physics 2017-07-07 Thomas Arlt , Jānis Priede , Leo Bühler

This extensive investigation explores the influence of inclined magnetic fields and radiative non-linear heat flux on the behavior of dusty hybrid nanofluids over stretching/shrinking wedges. Employing $Cu$-$SiO_2$ as a hybrid nanoparticle…

Fluid Dynamics · Physics 2025-04-17 Nimra Muqaddass , Waqar Ahmed Khanb , Fazle Mabood

We investigate inviscid instability in an electrically conducting fluid affected by a parallel magnetic field. The case of low magnetic Reynolds number in Poiseuille flow is considered. When the magnetic field is sufficiently strong, for a…

Fluid Dynamics · Physics 2013-07-22 A. V. Monwanou , J. B. Chabi Orou

Magnetoconvection in a tall vertical box with vertical hot and cold walls, and an imposed steady uniform magnetic field perpendicular to the temperature gradient, is analyzed numerically. The geometry and the values of the non-dimensional…

Fluid Dynamics · Physics 2024-07-08 Ali Akhtari , Oleg Zikanov , Dmitry Krasnov

A new analytical method for calculation the characteristics of the flow in porous medium bounded by a rectangular polygonal path is proposed. The method is based on the usage of high genus Riemann theta functions.

Complex Variables · Mathematics 2020-11-24 Andrei Bogatyrëv , Oleg Grigor'ev

The behavior of a magnetic fluid drop lying on a solid horizontal surface and surrounded by a nonmagnetic liquid under the action of a uniform magnetic field which is rotating in a vertical plane with low frequency (of the order of 1 Hz)…

Soft Condensed Matter · Physics 2015-03-13 Arthur Zakinyan , Oksana Nechaeva , Yury Dikansky

The article reports the domineering governing role played by the direction of electric and magnetic fields on the internal advection pattern and strength within salt solution pendant droplets. Literature shows that solutal advection drives…

Fluid Dynamics · Physics 2018-12-19 Purbarun Dhar , Vivek Jaiswal , A R Harikrishnan

Flow marks are common surface defects that occur in injection-molded products. Their formation may be related to the flow process of the melt in the mold. Through dimensional analysis, we have discovered that the geometric shape of the flow…

Soft Condensed Matter · Physics 2024-02-01 Jinrong Zhang , Dadong Yan , Li Peng , Xianbo Huang
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