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We consider magnetic flows on compact quotients of the 3-dimensional solvable geometry Sol determined by the usual left-invariant metric and the distinguished monopole. We show that these flows have positive Liouville entropy and therefore…

动力系统 · 数学 2009-11-13 Leo T. Butler , Gabriel P. Paternain

We consider the generation of magnetic field by a turbulent flow. For the linear induction equation (i.e. the kinematic dynamo problem), we show that the statistical moments of the magnetic field display multiscaling and in particular…

流体动力学 · 物理学 2018-09-12 Kannabiran Seshasayanan , Francois Petrelis

A physically consistent approach is considered for defining an external magnetic field as needed in computational fluid dynamics problems involving magnetohydrodynamics (MHD). The approach results in simple analytical formulae that can be…

流体动力学 · 物理学 2009-11-25 E. V. Votyakov , S. C. Kassinos , X. Albets-Chico

This paper gives a method that maps the static magnetic field due to a system of parallel current-carrying wires to a complex function. Using this function simplifies the calculation of the magnetic field energy density and inductance per…

经典物理 · 物理学 2016-12-09 Eric Deyo

A magnetic field is defined by the property that its divergence is zero in a three dimensional oriented Riemannian manifold. Each magnetic field generates a magnetic flow whose trajectories are curves called as magnetic curves. In this…

微分几何 · 数学 2015-06-18 Zehra Bozkurt , Ismail Gök , Yusuf Yaylı , Faik Nejat Ekmekci

In a previous paper, we have reported numerical simulations of the MHD flow driven by a travelling magnetic field (TMF) in an annular channel, at low Reynolds number. It was shown that the stalling of such induction pump is strongly related…

流体动力学 · 物理学 2016-03-23 Paola Rodriguez Imazio , Christophe Gissinger

We consider entropy generating flows for fluids that achieve a steady state in the presence of a driving electric field. Having chosen one among the space of stationarity constraints that define such flows we show how energy and momentum…

统计力学 · 物理学 2025-01-24 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Jonas Rongen

The nonlinear evolution of relativistic magnetic reconnection in sheared magnetic configuration (with a guide field) is investigated by using two-dimensional relativistic two-fluid simulations. Relativistic guide field reconnection features…

高能天体物理现象 · 物理学 2014-11-20 Seiji Zenitani , Michael Hesse , Alex Klimas

The kinematic induction equation of MHD is solved numerically in the case of the normal ``111'' ABC flow using a general staggered mesh method. Careful 3-D visualizations of the topology of the magnetic field reveal that previous…

天体物理学 · 物理学 2009-10-31 S. B. F. Dorch

The equations governing the magnetohydrodynamic stagnation point flow toward a non-conducting, thermally insulated, nonporous, linearly stretching sheet are cast in a self similar form. Consistent boundary conditions on the velocity,…

流体动力学 · 物理学 2016-07-26 Tarek M. A. El-Mistikawy

The dynamo instability is investigated in the limit of infinite magnetic Prandtl number. In this limit the fluid is assumed to be very viscous so that the inertial terms can be neglected and the flow is slaved to the forcing. The forcing…

流体动力学 · 物理学 2015-05-20 Alexandros Alexakis

It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal…

等离子体物理 · 物理学 2015-06-26 G. N. Throumoulopoulos , H. Tasso

The exhaustive classification of stationary incompressible flows with constant total pressure of ideal infinitely electrically conducting fluid is given. By introduction of curvilinear coordinates based on streamlines and magnetic lines of…

流体动力学 · 物理学 2015-06-03 S. V. Golovin , M. K. Krutikov

In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the…

偏微分方程分析 · 数学 2013-04-04 Roberto Garra , Federico Polito

We propose an analytical model based on the solution of the magnetohydrodynamics (MHD) equations for studying the origin of intrinsic magnetospheres. For this purpose, we reveal a new gauge condition for the electromagnetic vector…

空间物理 · 物理学 2014-02-13 M. Mendoza , J. Morales

The problem of the existence of an additional (independent on the energy) first integral, of a geodesic (or magnetic geodesic) flow, which is polynomial in momenta is studied. The relation of this problem to the existence of nontrivial…

动力系统 · 数学 2017-12-19 I. A. Taimanov

We compare the magnetic field at the center of and the self-magnetic flux through a current-carrying circular loop, with those obtained for current-carrying polygons with the same perimeter. As the magnetic field diverges at the position of…

物理教育 · 物理学 2007-05-23 J. P. Silva , A. J. Silvestre

We prove a normal form for strong magnetic fields on a closed, oriented surface and use it to derive two dynamical results for the associated flow. First, we show the existence of KAM tori and trapping regions provided a natural…

动力系统 · 数学 2021-02-08 Luca Asselle , Gabriele Benedetti

We consider the induction of magnetic field in flows of electrically conducting fluid at low magnetic Prandtl number and large kinetic Reynolds number. Using the separation between the magnetic and kinetic diffusive lengthscales, we propose…

流体动力学 · 物理学 2009-11-10 Yannick Ponty , Helene Politano , Jean-Francois Pinton

Estimates of velocities from time series of photospheric and/or chromospheric vector magnetograms can be used to determine fluxes of magnetic energy (the Poynting flux) and helicity across the magnetogram layer, and to provide…

天体物理学 · 物理学 2007-10-03 B. T. Welsch , G. H. Fisher