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WELL-POSEDNESS AND STABILITY FOR THE GENERALIZED INCOMPRESSIBLE magneto-hydrodynamic EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES

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Acta Mathematica Scientia 2019年第6期39卷 1551-1567页

作者： Azzeddine EL BARAKA Mohamed TOUMLILIN FST FES Laboratory AAFA Department of Mathematics University Sidi Mohamed Ben Abdellah

This paper concerns the Cauchy problem of the 3D generalized incompressible magneto-hydrodynamic(GMHD) equations. By using the Fourier localization argument and the Littlewood-Paley theory, we get local well-posedness results of the GMHD equations with large initial data(u0, b0) belonging to the critical Fourier-Besov-Morrey spaces FN^1-2α+3/p'+λ/pp,λ,q(R^3) Moreover, stability of global solutions is also discussed.

关键词： magneto-hydrodynamic Fourier-Besov-Morrey space stability

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Effects of background pressure on the arc characteristics of gas spark gap

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Plasma Science and Technology 2019年第12期21卷 20-25页

作者： Qinghua HUANG Bo HU Wei ZHONG Lei CHEN Yuanjie SHI Department of Electronic Engineering Fudan UniversityShanghai 200433People's Republic of China Institute of Electronic Engineering China Academy of Engineering PhysicsMianyang 621999People's Republic of China

Gas spark gap is widely used in any pulsed power system as the key element which directly determines its repetitive performance and output characteristics. Among many factors of threeelectrode gas spark gap, background pressure is of much importance in determining the gap performance parameters such as the delay and jitter, and relevant studies have been rarely performed. A magneto-hydrodynamic model of the arc in gas spark gap is built and the effects of background pressure on the arc characteristics are discussed in this paper. It is demonstrated that a higher background pressure may result in radial compression of the arc column, a higher arc voltage, and a lower declination rate of arc resistance in the first quarter cycle. Relevant simulation data would be helpful for the optimization of the design of gas spark gap.

关键词： gas spark gap arc characteristics background pressure magneto-hydrodynamic

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Effect of vibrating electrode on temperature profiles,fluid flow,and pool shape in ESR system based on a comprehensive coupled model

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China Foundry 2015年第4期12卷 285-292页

作者： Fang Wang Yan-chun Lou Rui Chen Zhao-wei Song Bao-kuan Li School of Materials and Metallurgy Northeastern University Shenyang Research Institute of Foundry

The vibrating electrode method was proposed in the electro-slag remelting （ESR） process in this paper, and the effect of vibrating electrode on the solidification structure of ingot was studied. A transient three- dimensional （3D） coupled mathematical model was established to simulate the electromagnetic phenomenon, fluid flow as well as pool shape in the ESIR process with the vibrating electrode. The finite element volume method is developed to solve the electromagnetic field using ANSYS mechanical APDL software. Moreover, the electromagnetic force and Joule heating are interpolated as the source term of the momentum and energy equations. The multi-physical fields have been investigated and compared between the traditional electrode and the vibrating electrode in the ESR process. The results show that the drop process of metal droplets with the traditional electrode is scattered randomly. However, the drop process of metal droplets with the vibrating electrode is periodic. The highest temperature of slag layer with the vibrating electrode is higher than that with the traditional electrode, which can increase the melting rate due to the enhanced heat transfer in the vicinity of the electrode tip. The results also show that when the amplitude and frequency of the vibrating electrode increase, the cycle of drop process of metal droplets decreases significantly.

关键词： electro-slag remelting process vibrating electrode magneto-hydrodynamic numerical simulation

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Viscous and Joules Dissipation on MHD Flow past a Stretching Porous Surface Embedded in a Porous Medium

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Journal of Applied Mathematics and Physics 2015年第12期3卷 1710-1725页

作者： Md. Sharif Uddin Mathematics Discipline Khulna University Khulna Bangladesh

This paper investigates the influence of both viscous and joules dissipation on the problem of magneto-hydrodynamic flow past a stretching porous surface embedded in a porous medium for rotating case. Using similarity approach the system of partial differential equations is transformed into ordinary differential equations which strongly depend on the magnetic parameter, stretching parameter, rotation parameter, permeability parameter and Prandtl number. The coupled differential equations are numerically simulated using the Nactsheim-Swigert shooting technique together with Runge-Kutta six order iteration schemes. The velocity and temperature profiles are discussed and presented graphically. The comparisons for dimensionless skin friction coefficient and local Nusselt number are also taken into account and discussed and presented graphically.

关键词： magneto-hydrodynamic Porous Medium Joules Dissipation Viscous Dissipation Rotational Parameter

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Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface

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Applied Mathematics 2012年第5期3卷 425-435页

作者： Kerehalli Vinayaka Prasad Seetharaman Rajeswari Santhi Pampanna Somanna Datti Department of Mathematics Central College Campus Bangalore University Bangalore India Tata Institute of Fundamental Research Centre for Applicable Mathematics Bangalore India

The problem of magneto-hydrodynamic flow and heat transfer of an electrically conducting non-Newtonian power-law fluid past a non-linearly stretching surface in the presence of a transverse magnetic field is considered. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. These equations are then solved numerically by an implicit finite-difference scheme known as Keller-Box method. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, velocity exponent parameter, temperature exponent parameter, Modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed. The results obtained reveal many interesting behaviors that warrant further study on the equations related to non-Newtonian fluid phenomena.

关键词： Boundary Layer Flow magneto-hydrodynamic Flow Power-Law Fluid Stretching Sheet Modified Prandtl Number Heat Source/Sink Parameter

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Approximate Methods for the Calculation of Plasma Internal Inductance for Circular Cross Section Tokamak

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Journal of Modern Physics 2013年第5期4卷 579-581页

作者： M. Asif Department of Physics COMSATS Institute of Information Technology Lahore Pakistan

Calculation of Plasma internal inductance (li) is essential in Tokamak plasma research. Much more plasma parameters such as the plasma current density profile, magnetohydrodynamics instability, and plasma energy confinement time can be determined by using this parameter. Discrete poloidal magnetic probes along with the diamagnetic loop can be utilized in measurement of the Plasma internal inductance (li). In this paper Plasma internal inductance (li) is studied by theoretical and experimental approach for HT-7 Tokamak plasmas. The results of two methods are in good agreement with each other.

关键词： Tokamak Plasma Internal Inductance magneto-hydrodynamic

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