#### Title

Analytic model to estimate thermonuclear neutron yield in z-pinches using the magnetic Noh problem

#### Date of Award

2014

#### Document Type

Thesis

#### Degree Name

Master of Science in Engineering (MSE)

#### Department

Mechanical and Aerospace Engineering

#### Committee Chair

Jason T. Cassibry

#### Committee Member

Kunning Xu

#### Committee Member

Gang Wang

#### Subject(s)

Pinch effect (Physics), Plasma (Ionized gases), Controlled fusion., Fusion reactions.

#### Abstract

The objective was to build a model which could be used to estimate neutron yield in pulsed z-pinch experiments, benchmark future z-pinch simulation tools and to assist scaling for breakeven systems. To accomplish this, a recent solution to the magnetic Noh problem was utilized which incorporates a self-similar solution with cylindrical symmetry and azimuthal magnetic field (Velikovich, 2012). The self-similar solution provides the conditions needed to calculate the time dependent implosion dynamics from which batch burn is assumed and used to calculate neutron yield. The solution to the model is presented. The ion densities and time scales fix the initial mass and implosion velocity, providing estimates of the experimental results given specific initial conditions. Agreement is shown with experimental data (Coverdale, 2007). A parameter sweep was done to find the neutron yield, implosion velocity and gain for a range of densities and time scales for DD reactions and a curve fit was done to predict the scaling as a function of preshock conditions.

#### Recommended Citation

Agnew, Rachael, "Analytic model to estimate thermonuclear neutron yield in z-pinches using the magnetic Noh problem" (2014). *Theses*. 89.

https://louis.uah.edu/uah-theses/89