Nuclear Engineering ETDs

Publication Date

6-2-1967

Abstract

Transport equations are developed for the number densities, mean velocities, temperatures, stresses and heat fluxes of the constituents of an ionized gas by taking velocity moments of the Boltzmann equation. These equations are closed out by utilizing the Grad 13-moment approximation for each distribution function. This approximation provides a representation for the distribution function of each constituent which has as its first term a Maxwellian about the constituent mean velocity, and remaining terms which describe the deviation of the distribution function from this local constituent Maxwellian and which have as their coefficients the constituent traceless stress tensor and the constituent heat flux vector defined relative to the mean constituent velocity. These equations, coupled with Maxwell's equations to describe the electric and magnetic fields, constitute a closed set. This set of equations is anticipated to have validity for plasma systems of arbitrary degree of ionization, the constituents of which need not be close to thermodynamic equilibrium with each other. By limiting attention to systems with slowly varying flows, transport expressions, which reflect the influence of electric and magnetic fields, have been extracted and exhibited.

Document Type

Dissertation

Language

English

Degree Name

Nuclear Engineering

Level of Degree

Doctoral

Department Name

Nuclear Engineering

First Committee Member (Chair)

Willis Lynn Everett

Second Committee Member

Illegible

Third Committee Member

Ralph Douglas O'Dell

Fourth Committee Member

Illegible

Fifth Committee Member

Howard Carnes Bryant

Download

Share

COinS