Equations of change for the various hydrodynamic
densities are derived for a dilute gas with degenerate
internal states. To obtain a consistent set of
hydrodynamic equations it is necessary to expand the
collision term of the usual Waldmann-Snider Boltzmann
equation (W-S equation) in position gradients of the
distribution function [formula omitted].
In particular, the extension of the W-S equation
to terms "linear" in the position gradients of [formula omitted]
yields the correct form for the equation of change for
the internal angular momentum density. Specifically,
the production term in this equation of change is t he
antisymmetric part of the pressure tensor, which is in
accord with a hydrodynamic derivation. In addition,
equations of change for the mass density, linear momentum
density, and total energy density are also obtained.
These results are shown to be similar to equations of
change derived via a density-operator technique.
Unfortunately, this " linear" extension of the
W-S equation does not give a closed set of equations of
change. However, a consistent set of equations is obtained if a restriction is placed on the form of the extended W-S equation. / Science, Faculty of / Chemistry, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/41854 |
| Date | January 1969 |
| Creators | Thomas, Michael Walter |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
Page generated in 0.0018 seconds