1.2 MHD方程组的研究背景 磁流体动力学(Magnetohydrodynamics,简称MHD)是研究等离子体和磁场相 互作用的物理学分支,其基本思想是在运动的导电流体中,磁场能够感应出电流.磁流体动力学将等离子体作为连续介质处理,要求其特征尺度远远大于粒子的平均 自...
The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field and occupies the space over a flat plate between two sidewalls perpendicular to the plate. The governing equation of motion is treated analytically, yielding the derivation of exact solutions under ...
When I have an ionized fluid (plasma) and I describe it in a continuum approach I can use the MHD equations (the continuity equation, the equation of motion, the induction equation and the energy equation). However; I am modeling a certain model of a sunspot and there is also an unioniz...
Positive constantνis the resistivity coefficient acting as a magnetic diffusivity of magnetic field. In the second equation in (1.1), the circled times ⊗ means matrix multiplication, namely if\mathbf{ a}=(a^{1}, a^{2}, a^{3}),\mathbf{ b}=(b^{1}, b^{2}, b^{3}), then Ma...
(all of which are dimensionless constants). the two last equations concerning the divergence-freeness of the velocity and magnetic field are the incompressibility of the flow and maxwell’s second equation. for simplicity, in the remainder of the paper, we set \(s= rm = re = 1\) . ...
2.Starting fromMHD,the dispersion equation of the instability of thin accertion disks with magnetic fields is derived from by using the perturbation method.从磁流体动力学方程组出发,用微扰法得出含有能量方程和因果性修正α型粘滞吸积盘径向不稳定性色散方程。
The geometry of the problem. Full size image Governing equation for fluid motion is described by fluid Navier–Stoke’s equation, while particles motion is represented by Newton’s second law, and Maxwell's equation for electromagnetic field is defined as40 ∇→×E→=−∂B→1∂t,divB...
The RWM growth rate is computed by equation (2). Here we should make a remark that using the dispersion relation (2) in the present formalism has a subtle problem. It is because the dis- persion relation assumes the negligible plasma inertia10, which is not the case for fast plasma ...
Forchheimer’s equation consists of Darcy’s law to which correction terms are introduced to account for inertia leading to a nonlinear relationship between the filtration velocity and the macroscopic pressure gradient. It analyzes the effects of a solid boundary and the inertial forces on flow and ...
Katz, N., Pavlović, N.: Finite time blow-up for a dyadic model of the Euler equations. Trans. Am. Math. Soc. 357(2), 695–708 (2005) Article MathSciNet Google Scholar Kiselev, A., Zlatoš, A.: On discrete models of the Euler equation. Int. Math. Res. Not. 38, 2315–...