The preceding chapter discussed the microscopic, kinetic and two-fluid decsriptions of a plasma. But we would actually like a simpler model — one that would include most of the macroscopic properties of a plasma in a “one-fluid” model. The simplest such model is magnetohydrodynamics (MHD), which is a combination of a one-fluid (hydrodynamic-type plus Lorentz force effects) model for the plasma ...

We construct analytically stationary global configurations for both aligned and logarithmic spiral coplanar magnetohydrodynamic (MHD) perturbations in an axisymmetric background MHD disc with a power-law surface mass density Σ0 ∝ r , a coplanar azimuthal magnetic field B0 ∝ r −γ , a consistent self-gravity and a powerlaw rotation curve v0 ∝ r −β where v0 is the linear azimuthal gas rotation spe...

Magnetohydrodynamics (MHD) provides a convenient, programmable means for propelling liquids and controlling fluid flow in microfluidic devices without a need for mechanical pumps and valves. When the magnetic field is uniform and the electric field in the electrolyte solution is confined to a plane that is perpendicular to the direction of the magnetic field, the Lorentz body force is irrotatio...

We present preliminary results from two computational magnetohydrodynamic (MHD) studies of magnetic nozzles. The first study models the magnetic nozzle expansion of a plasma into a near vacuum with a resistive MHD solver. Results from resistive MHD simulations suggest that further model development is necessary to replicate experimental results within the desired physical regime. The second stu...

It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by the Laplacian operator is insufficient to control the nonlinearity and for this reason the 3D MHD equations are sometimes regarded as “supercritical”. This paper presents a global regularity result ...

The Monty Hall Dilemma (MHD) is an intriguing example of the discrepancy between people's intuitions and normative reasoning. This study examines whether the notorious difficulty of the MHD is associated with limitations in working memory resources. Experiment 1 and 2 examined the link between MHD reasoning and working memory capacity. Experiment 3 tested the role of working memory experimental...

Pulsed power technology is used to produce transient MHD-regime plasmas having topology and dynamical behavior similar to solar and astrophysical plasmas. These plasmas are not exact scale models, but exhibit many behaviors similar to actual solar and astrophysical plasmas, for example, coUimation, kinking, and jet motion. These plasmas can also display an interaction between MHD-dynamics and n...

Extended MHD effects on pressure driven interchange modes are studied in decaying spheromak equilibria. Equilibria at conditions relevant to high temperature SSPX[Hooper et al., Nucl. Fus. 1999] discharges are ideal interchange unstable. Extended MHD introduces drifts which have a stabilizing effect, reducing the linear growth rate, on the high-n modes. However, extended MHD has a mixed effect ...

For understanding the structure of an MHD-scale Kelvin-Helmholtz Instability (KHI) in a non-linear stage, we have performed two-dimensional two-fluid simulations including finite electron inertial effects. In the twofluid system, magnetic reconnection occurs spontaneously because the ’frozen-in’ condition can be broken by the electron inertial effects. When an MHD-scale velocity shear exists, a...