Bochum 2015 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P 14: Poster Session - Theory and Modelling
P 14.11: Poster
Dienstag, 3. März 2015, 16:30–18:30, Foyer Audimax
Application of the magnetohydrodynamic energy principle to space and laboratory plasmas. Dimensional analysis of instability occurrence — •Claudia-Veronika Meister and Dieter H.H. Hoffmann — Technische Universität Darmstadt, Institut für Kernphysik
Recent applications of the magnetohydrodynamic energy principle to laboratory and space plasmas are briefly reviewed. In detail, the energy principle is presented for an internally homogeneous pinch in a perfectly conducting wall. The plasma is separated from the wall by a vacuum. The derived model is applied to magnetically confined laboratory and lightning systems. In doing so, mathematical equations of motion for fluid elements are derived using a cylindrical coordinate system for equilibrium states. From the equations of motion, an analytical relation for the radial displacements of the fluid elements is found, which describes magnetohydrodynamic waves as e.g. sausage and kink ones. In case of lightnings, the radial displacements in the plasma are numerically calculated. A dimensional analysis of occurring plasma instabilities is performed.