Estimation of the Current Sheath Dynamics and Magnetic Field for Theta Pinch by Snow Plow Model Simulation

The snowplow model and shock wave equation are used to simulate theta pinch plasma experiment. The model calculates the sheath velocity, radial position, plasma current, plasma temperature, and the induced magnetic field of the current sheath. The model uses two phases: the radial inward phase and the reflected shock phase. The governing equations are derived by using the current factor and the mass factor. The model calculates the induced magnetic field of the plasma by the deriving equation and the magnetic field of the coil. Also, the model is operated by using the Hydrogen, Deuterium and Tritium gases at the same of the mass density. The results illustrate that the temperature and the induced magnetic field are higher for tritium gas, which has a higher molecular weight, while the current sheath velocity of tritium is lower. Some results of the model were compared with Lee model and other paper.