1) The Dynamics of High-Frequency In-plane Oscillating Beams in Viscous Fluids and (2) Kinetic Theory of Gases and the BGK Equation: Fluid Dynamics for the Nanoscale
by (1) Doug Brumley and (2) Jason Nassios
Abstract: 1) The Dynamics of High-Frequency In-plane Oscillating Beams in Viscous Fluids
When a clamped-clamped silicon carbide beam is excited thermoelastically, it exhibits a wide range of in-plane and out-of-plane resonances. The beams used have a width of 400nm, a thickness of 80nm and vary in length between 8um and 16um. We predict the values of the resonant frequencies, and compare against experimental results obtained by the Roukes group using a metal piezoresistor.
(2) Kinetic Theory of Gases and
the BGK Equation: Fluid Dynamics for the Nanoscale
The no-slip boundary condition, and higher order slip boundary
conditions, which are used to solve fluid flow problems via a standard
continuum approximation, are motivated by experimental results. Starting
from a purely molecular perspective, and making no assumptions of a
continuum, I will present a formal derivation of the no slip boundary
condition from a suitable series expansion of the BGK Equation.
For More Information: Kerry Landman K.Landman@ms.unimelb.edu.au