This item is under embargo and not available online per the author's request. For access information, please visit http://libanswers.wustl.edu/faq/5640.
Date of Award
Doctor of Philosophy (PhD)
We develop an analytical framework and numerical methods for the determination of the coefficient of self-diffusivity for the transport of a rarefied gas in channels, in the limit of large Knudsen number. We provide an effective method for determining the influence of channel surface micro-structure on the value of diffusivity. We also show how characteristic numbers of the system, namely geometric parameters of the micro-structure, the spectral gap of a Markov transition operator defined for a given micro-structure, and the tangential momentum accommodation coefficient of a commonly used model of surface scattering, are related. Examples of micro-structures are investigated regarding the relation of these quantities numerically and analytically.
Chair and Committee
Likai Chen, Todd Kuffner, Ari Stern, Gregory Yablonsky,
Garcia German, Luis Alberto, "Computation of Knudsen diffusivity in domains with boundary micro-structure" (2020). Arts & Sciences Electronic Theses and Dissertations. 2189.
Available for download on Thursday, April 14, 2022