scholarly journals On weak-strong uniqueness property for full compressible magnetohydrodynamics flows

2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Weiping Yan
Keyword(s):  
Magnetic Field ◽  
Entropy Inequality ◽  
Compressible Fluids ◽  
Navier Stokes ◽  
Strong Uniqueness ◽  
Governing Equations ◽  
Uniqueness Property ◽  
Magnetohydrodynamic Flows ◽  
The Magnetic Field ◽  
Additional Equation

AbstractThis paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists.

scholarly journals Nonlinear Dynamos

2010 ◽  
Vol 6 (S271) ◽  
pp. 297-303
Author(s):  
David Galloway
Keyword(s):  
Magnetic Field ◽  
Solar Cycle ◽  
Stokes Equation ◽  
Lorentz Force ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Direct Competition ◽  
Astrophysical Objects ◽  
Flow Domain ◽  
The Magnetic Field

AbstractThis paper discusses nonlinear dynamos where the nonlinearity arises directly via the Lorentz force in the Navier-Stokes equation, and leads to a situation where the Lorentz force and the velocity and the magnetic field are in direct competition over substantial regions of the flow domain. Filamentary and non-filamentary dynamos are contrasted, and the concept of Alfvénic dynamos with almost equal magnetic and kinetic energies is reviewed via examples. So far these remain in the category of toy models; the paper concludes with a discussion of whether similar dynamos are likely to exist in astrophysical objects, and whether they can model the solar cycle.

scholarly journals Convection Heat Transfer of MgO-Ag /Water Magneto-Hybrid Nanoliquid Flow into a Special Porous Enclosure

2020 ◽  
Vol 2 (2) ◽  
pp. 84-95
Author(s):  
Fateh Mebarek Oudina ◽  
◽  
Fares Redouane ◽  
Choudhari Rajashekhar ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Computational Study ◽  
Convection Heat Transfer ◽  
Darcy Number ◽  
Governing Equations ◽  
Galerkin Finite Element ◽  
Element Technique ◽  
The Magnetic Field ◽  
Porous Enclosure

This work explores numerically a computational study of free convection in a grooved porous enclosure filled with water-based hybrid-nanoliquid in the presence of an external magnetic field. To solve the governing equations of the problem, the Galerkin finite element technique is utilized. For a several governing parameters such as Rayleigh number (102≤Ra ≤106), magnetic field parameter (0≤Ha≤100), Darcy number (10-2≤ Da ≤10-4) the results are obtained and discussed via streamlines, isotherms and average Nusselt number. The magnetic field has a good regulating effect for the fluid flow and the heat transfer in porous media

scholarly journals A MAGNETOHYDRODYNAMIC STUDY OF BEHAVIOR IN AN ELECTROLYTE FLUID USING NUMERICAL AND EXPERIMENTAL SOLUTIONS

2012 ◽  
Vol 11 (1-2) ◽  
pp. 53
Author(s):  
L. P. Aoki ◽  
M. G. Maunsell ◽  
H. E. Schulz
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Fluid Velocity ◽  
Flow Analysis ◽  
Test Chamber ◽  
Cross Product ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Vector Density ◽  
The Magnetic Field

This article examines a rectangular closed circuit filled with an electrolyte fluid, known as macro pumps, where a permanent magnet generates a magnetic field and electrodes generate the electric field in the flow. The fluid conductor moves inside the circuit under magnetohydrodynamic effect (MHD). The MHD model has been derived from the Navier Stokes equation and coupled with the Maxwell equations for Newtonian incompressible fluid. Electric and magnetic components engaged in the test chamber assist in creating the propulsion of the electrolyte fluid. The electromagnetic forces that arise are due to the cross product between the vector density of induced current and the vector density of magnetic field applied. This is the Lorentz force. Results are present of 3D numerical MHD simulation for newtonian fluid as well as experimental data. The goal is to relate the magnetic field with the electric field and the amounts of movement produced, and calculate de current density and fluid velocity. An u-shaped and m-shaped velocity profile is expected in the flows. The flow analysis is performed with the magnetic field fixed, while the electric field is changed. Observing the interaction between the fields strengths, and density of the electrolyte fluid, an optimal configuration for the flow velocity isdetermined and compared with others publications.

scholarly journals Numerical Study of Periodic Magnetic Field Effect on 3D Natural Convection of MWCNT-Water/Nanofluid with Consideration of Aggregation

Processes ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 957 ◽  
Author(s):  
Lioua Kolsi ◽  
Hakan Oztop ◽  
Kaouther Ghachem ◽  
Mohammed Almeshaal ◽  
Hussein Mohammed ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Numerical Study ◽  
Three Dimensional ◽  
Magnetic Field Effect ◽  
Oscillation Period ◽  
Governing Equations ◽  
Periodic Magnetic Field ◽  
Aggregation Effect ◽  
Volume Method ◽  
The Magnetic Field

In this paper, a numerical study is performed to investigate the effect of a periodic magnetic field on three-dimensional free convection of MWCNT (Mutli-Walled Carbone Nanotubes)-water/nanofluid. Time-dependent governing equations are solved using the finite volume method under unsteady magnetic field oriented in the x-direction for various Hartmann numbers, oscillation periods, and nanoparticle volume fractions. The aggregation effect is considered in the evaluation of the MWCNT-water/nanofluid thermophysical properties. It is found that oscillation period, the magnitude of the magnetic field, and adding nanoparticles have an important effect on heat transfer, temperature field, and flow structure.

Analytical Solution of the Perturbed Magnetic Fields of Plates Under Tensile Stress

2008 ◽  
Vol 75 (3) ◽  
Author(s):  
Fei Qin ◽  
Dongmei Yan
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Analytic Solutions ◽  
Round Hole ◽  
Governing Equations ◽  
Displacement Gradient ◽  
Weak Magnetic Fields ◽  
Testing Technology ◽  
Perturbed Magnetic Field ◽  
The Magnetic Field

Development of magnetism based nondestructive testing technology and the Microelectronic mechanical system require accurate computation of perturbed magnetic fields generated by mechanical stress. In this paper, based on the linearized magnetoelastic theory, the governing equations and continuity conditions to determine the perturbed magnetic fields were formulated for the case of weak external magnetic fields such as the earth’s magnetic field. Under those weak magnetic fields, the effect of the magnetic fields on mechanical deformation was neglected. As a result, the interaction between the deformation and the magnetic field was simplified. The effect of deformation on the perturbed magnetic field was taken into account by introducing the displacement gradient into the boundary conditions that the perturbed field should satisfy. As examples, analytic solutions of the perturbed magnetic field of infinite plates with and without a round hole, which are subjected to tensile stresses and weak external magnetic fields, were obtained by the approach presented. The results show that the perturbed magnetic fields induced by stress are three orders less in magnitude of intensity than that of magnetic fields without stress, and some prominent local features such as that has more peaks and decays more rapidly in the radial direction than the case of stress free that are predicted by the solutions.

Hydrothermal analysis on non-Newtonian nanofluid flow of blood through porous vessels

2022 ◽  
pp. 095440892110692
Author(s):  
S. Hosseinzadeh ◽  
Kh. Hosseinzadeh ◽  
A. Hasibi ◽  
D.D. Ganji
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Magnetic Field Intensity ◽  
Porous Wall ◽  
Blood Velocity ◽  
Concentration Profiles ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Nanofluid Flow ◽  
The Magnetic Field

In this paper, the flow of non-Newtonian blood fluid with nanoparticles inside a vessel with a porous wall in presence of a magnetic field have been investigated. This study aimed to investigate various parameters such as magnetic field and porosity on velocity, temperature, and concentration profiles. In this research, three different models (Vogel, Reynolds and Constant) for viscosity have been used as an innovation. The governing equations are solved by Akbari-Ganji's Method (AGM) analytical method and the Finite Element Method (FEM) is used to better represent the phenomena in the vessel. The results show that increasing the Gr number, porosity and negative pressure increase the blood velocity and increasing the magnetic field intensity decrease the blood velocity.

scholarly journals Zur Begrenzung der radialen Ausdehnung des Lichtbogenstromes durch ein axiales Magnetfeld

1970 ◽  
Vol 25 (11) ◽  
pp. 1583-1600
Author(s):  
O. Klüber
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Axial Magnetic Field ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Plasma Radius ◽  
Arc Current ◽  
Field Lines ◽  
The Magnetic Field ◽  
Generally True

Abstract In an arc without external magnetic field the current carrying region is identical with the conducting plasma column. This is no longer generally true if the arc is in an axial magnetic field and if the electrode radius is much smaller than the plasma radius. Radial current components then produce a rotational motion of the plasma and an azimuthal Hall current, and hence electromotive forces which try to suppress the current perpendicular to the magnetic field. In a plasma with finite viscosity the rotation is determined by the Navier-Stokes equation, which is solved here for a homogeneous plasma simultaneously with generalized Ohm's law. The results show that the plasma rotation is always an essential, and often the dominant, mechanism for guiding the arc current parallel to the magnetic field lines.

Convective laser filamentation instability in magnetized plasma

2014 ◽  
Vol 92 (6) ◽  
pp. 504-508 ◽  
Author(s):  
M.S. Bawa’aneh ◽  
Ghada Assayed ◽  
M.R. Said ◽  
S. Al-Awfi
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Waves ◽  
Amplification Factor ◽  
Magnetized Plasma ◽  
Governing Equations ◽  
Equilibrium Plasma ◽  
Dc Magnetic Field ◽  
Density Values ◽  
Filamentation Instability ◽  
The Magnetic Field

The convective amplification of filamentation instability (FI) of electromagnetic waves traveling along the density ramp of a magnetized plasma is investigated. The generalized amplification factor of the instability in the presence of a DC–magnetic field is derived by obtaining the governing equations of the instability and using the slow-coupling technique to obtain an analytical expression for the amplification factor in weakly magnetized plasma. The result shows enhancement of the convective FI gain by the magnetic field, where the enhancement is stronger for lower equilibrium plasma density values.

Homogeneous turbulence in ferrofluids with a steady magnetic field

2008 ◽  
Vol 599 ◽  
pp. 1-28 ◽  
Author(s):  
KRISTOPHER R. SCHUMACHER ◽  
JAMES J. RILEY ◽  
BRUCE A. FINLAYSON
Keyword(s):  
Magnetic Field ◽  
Kinetic Energy ◽  
Turbulent Kinetic Energy ◽  
Magnetic Energy ◽  
Energy Dissipation Rate ◽  
Theoretical Interpretation ◽  
Governing Equations ◽  
Potential Models ◽  
Steady Magnetic Field ◽  
The Magnetic Field

The general equations necessary for a basic theoretical interpretation of the physics of turbulence in ferrofluids are presented. The equations are examined and show multiple novel turbulence aspects that arise in ferrofluids. For example, two new modes of turbulent kinetic energy and turbulent kinetic energy dissipation rate occur, and unique modes of energy conversion (rotational to/from translational kinetic energy and magnetic energy to/from turbulent kinetic energy) are exhibited in turbulent ferrofluid flows. Furthermore, it is shown that potential models for turbulence in ferrofluids are complicated by additional closure requirements from the five additional nonlinear terms in the governing equations. The equations are applied to turbulence of a ferrofluid in the presence of a steady magnetic field (as well as the case of no magnetic field) in order to identify the importance of the new terms. Results are presented for the enhanced anisotropy in the presence of a magnetic field, and results show how turbulence properties (both classical ones and new ones) vary with the strength of the magnetic field. Three different equations for the magnetization are examined and lead to different results at large magnitudes of the applied magnetic field.

Electrically driven vortices in a strong magnetic field

1988 ◽  
Vol 189 ◽  
pp. 553-569 ◽  
Author(s):  
Joël Sommeria
Keyword(s):  
Magnetic Field ◽  
Stokes Equations ◽  
Opposite Sign ◽  
Electric Pulse ◽  
Lateral Wall ◽  
Horizontal Layer ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
The Magnetic Field ◽  
Lower Plane

A steady isolated vortex is produced in a horizontal layer of mercury (of thickness a), subjected to a uniform vertical magnetic field. The vortex is forced by an electric current going from an electrode in the lower plane to the circular outer frame. The flow is investigated by streak photographs of small particles following the free upper surface, and by electric potential measurements. The agreement with the asymptotic theory for high values of the Hartmann number M is excellent for moderate electric currents. In particular all the current stays in the thin Hartmann layer of thickness a/M, except in the vortex core of horizontal extension a/M½. For higher currents, the size of the core becomes larger and depends only on the local interaction parameters. When the current is switched off, we measure the decay due to the Hartmann friction. A similar study is carried out for a vortex created by an initial electric pulse, and for a pair of vortices of opposite sign. For all these examples, the dynamics can be described by the two-dimensional Navier-Stokes equations with Hartmann friction, except in the vortex cores. Finally a vortex is produced near a lateral wall and a detachment of the boundary layer parallel to the magnetic field occurs, by which a second vortex of opposite sign is generated.

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