Now showing items 1-3 of 3
Efficient numerical methods for solving the Boltzmann equation for low-speed flows
(Massachusetts Institute of Technology, 2004)
When the Knudsen number, typically defined as the ratio of the molecular mean free path to the characteristic length scale of a dilute gas flow, is larger than approximately 0.1, the Navier-Stokes equations are no longer ...
Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work
(Massachusetts Institute of Technology, 2002)
This thesis investigates developing heat transfer in laminar, hydrodynamically fully developed slip flow in a channel with a constant wall temperature. Slip flow is a good approximation when the Knudsen number, the ratio ...
Efficient numerical methods for solving the Boltzmann equation for small scale flows
(Massachusetts Institute of Technology, 2007)
The Navier-Stokes equations of continuum fluid mechanics fail to accurately describe dilute gas flows when the characteristic lengthscale of the system is on the order of (or smaller than) the molecular mean free path. At ...