Bivelocity Hydrodynamics of Micro-Channel Couette Flow.
Abstract: A nonkinetic
approach is adopted in this thesis to numerically predict the profiles of a Maxwellian
ideal gas in a micro-channel geometry. Our analysis utilizes a full set of mechanically
and thermodynamically consistent volume-diffusion hydrodynamic equations. Bivelocity
theory predicts, contrary to current investigations, a no-slip velocity at the wall in
planar Couette flow for r... read morearefied gas flows. This thesis was motivated by the recent
success of Bivelocity hydrodynamics in explaining traditionally non-continuum phenomenon
in a physically sound manner. The results are compared and contrasted with the Burnett
equations, which show that the predictions are fundamentally different from those
previously obtained in similar analyses. It is concluded that more experimental data
will be needed to make a determination as to which model should be used. Suggestions for
experimental verification, motivated by our numerical results, are also
Thesis (M.S.)--Tufts University, 2013.
Submitted to the Dept. of Mechanical Engineering.
Advisor: Behrouz Abedian.
Committee: Mark Kachanov, and Christoph Börgers.
Keyword: Mechanical engineering.read less