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Regularity criteria for the three-dimensional magnetohydrodynamic equations
Fan, J.,Li, F.,Nakamura, G.,Tan, Z. Academic Press 2014 Journal of differential equations Vol.256 No.8
This paper studies the three-dimensional density-dependent incompressible magnetohydrodynamic equations. First, a regularity criterion is proved which allows the initial density to contain vacuum. Then we establish another blow-up criterion in the Besov space B@?<SUB>~,2</SUB><SUP>0</SUP> when the positive initial density is bounded away from zero. Third, we prove a global nonexistence result for initial density with high decreasing at infinity. Fourth, we obtain a regularity criterion to the density-dependent incompressible magnetohydrodynamic equations in a bounded domain. Finally, we also give some remarks on the regularity criteria for the three-dimensional full compressible magnetohydrodynamic equations in a bounded domain and for the incompressible homogeneous magnetohydrodynamic equation in the whole space R<SUP>3</SUP>.
The quasi-neutral limit of the compressible magnetohydrodynamic flows for ionic dynamics
권영삼 대한수학회 2019 대한수학회지 Vol.56 No.6
In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain $\mathbb{T}^3$ with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.
THE QUASI-NEUTRAL LIMIT OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS FOR IONIC DYNAMICS
Kwon, Young-Sam Korean Mathematical Society 2019 대한수학회지 Vol.56 No.6
In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain ${\mathbb{T}}^3$ with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.
Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem
Kim, S.D.,Lee, E.,Choi, W. Koninklijke Vlaamse Ingenieursvereniging 2017 Journal of computational and applied mathematics Vol.309 No.-
<P>The magnetohydrodynamic equations are second order nonlinear partial differential equations which are coupled by fluid velocity and magnetic fields and we consider to apply the Newton's algorithm to solve them. It is well known that the choice of a proper initial guess is critical to assure the convergence of Newton's iterations in solving nonlinear partial differential equations. In this paper, we provide a good initial guess for Newton's algorithm when it is applied for solving magnetohydrodynamic equations. (C) 2016 Elsevier B.V. All rights reserved.</P>
Numerical study of Faraday-type nitrogen plasma magnetohydrodynamic generator
Lee Geun Hyeong,Kim Hee Reyoung 한국물리학회 2021 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.78 No.7
The variables of a magnetohydrodynamic (MHD) generator were analyzed for the application of a cogeneration system in a coal-fired power station. The MHD generator system is more efficient than other generation systems, owing to its high working temperature. The system is typically combined with a steam generator because high-temperature conditions result in significant residual heat. The magnetic and electric fields, which directly affect the electric output, should be analyzed under this condition. The electric field, velocity, and magnetic flux density of the MHD generator were analyzed, and nitrogen plasma in the temperature range of 3000 K was employed. The electric power was affected by velocity, magnetic flux density, and electric conductivity. The electric power was proportional to the square of the velocity and magnetic flux density and proportional to the electrical conductivity. A de Laval nozzle was adopted to increase the velocity. The electric power was optimized according to the angle of the de Laval nozzle. Power generation was derived through the geometrical size and magnetic flux density of the prototype Faraday-type nitrogen plasma MHD generator.
Magnetohydrodynamic Simulation of Tungsten Wire in Wire-Array Z Pinch
Kim, D.-K.,Chittenden, J. P.,Lebedev, S. V.,Marocchino, A.,Suzuki-Vidal, F. WILEY-VCH Verlag 2010 Contributions to plasma physics Vol.50 No.2
<P>The magnetohydrodynamic behavior of tungsten wire ablating in wire-array Z pinch discharge on MAGPIE is simulated in a two-dimensional fine-grid domain using the GORGON code. A nonideal resistivity model has been implemented in the simulation to obtain plasma transport coefficients in the high density regime along with a screened hydrogenic model to calculate the radiative cooling. Starting from the initial state of warm dense plasma, the evolution of ablated wire is demonstrated to show its explosion and implosion dynamics as a function of discharge time and then the computed profile of electron density is compared with the contour lines reproduced from the measurement by a laser interferometer during the early stage of discharge. The comparison overall shows a fair agreement in terms of the magnitude and the profile shape while some discrepancies can be attributed to the simplified description of the internal wire core physics (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</P>
Jaekyung Choi,Young Joon Yoon,Youn-Suk Choi,Hyo Tae Kim,김지훈,이종흔,Jong-hee Kim 한양대학교 세라믹연구소 2011 Journal of Ceramic Processing Research Vol.12 No.2
A novel microfabrication process for the creation of a magnetohydrodynamic (MHD) mixer is presented using a photoimageable low temperature co-fired ceramic (LTCC). A monolithic structure was formed by UV photolithographic patterning and screen printing. The structure consists of a microfluidic channel and silver electrodes on a LTCC layer. The fluids in the microfluidic channel were controlled by a Lorentz force. A maximum mixing efficiency of 85.4% was achieved with AC peak-to-peak voltages of 8 V at 1 Hz. A photolithographic technique for patterning the microfluidic channel in the LTCC process is promising in order to realize a complex heterogeneous structure and it serves as an enabling tool in extending the applicability of ceramic-based microfluidic devices.
Magnetohydrodynamic peristalsis of variable viscosity Jeffrey liquid with heat and mass transfer
S. Farooq,M. Awais,Moniza Naseem,T. Hayat,B. Ahmad 한국원자력학회 2017 Nuclear Engineering and Technology Vol.49 No.7
The mathematical aspects of Dufour and Soret phenomena on the peristalsis of magnetohydrodynamic(MHD) Jeffrey liquid in a symmetric channel are presented. Fluid viscosity is taken variably. Lubricationapproach has been followed. Results for the velocity, temperature, and concentration are constructed andexplored for the emerging parameters entering into the present problem. The plotted quantities lead tocomparative study between the constant and variable viscosities fluids. Graphical results indicate that fornon-Newtonian materials, pressure gradient is maximum, whereas pressure gradient is slowed down forvariable viscosity. Also both velocity and temperature in the case of variable viscosity are at maximumwhen compared with results for constant viscosity.