Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Behaviour of microscale gas flows based on a power-law free path distribution function

Dongari, Nishanth and Zhang, Yonghao and Reese, Jason (2011) Behaviour of microscale gas flows based on a power-law free path distribution function. In: Rarefied Gas Dynamics. AIP Conference Proceedings, 1333 (1st). Springer, pp. 724-729. ISBN 978-0-7354-0889-0

[img] PDF
Zhang_YH_Reese_JM_Pure_Behaviour_of_microscale_gas_flows_based_on_a_power_law_free_path_distribution_function_May_2011.pdf - Draft Version

Download (601kB)

Abstract

We investigate a power-law form for the probability distribution function of free paths of dilute gas molecules in a confined region. A geometry-dependent effective molecular mean free path (MFP) model is then derived for a planar wall confinement, by taking into account the boundary limiting effects on the molecular paths. The power-law based effective MFP is validated against molecular dynamics simulation data and compared with exponential effective MFP models. The Navier-Stokes constitutive relations are then modified according to the kinetic theory of gases i.e. transport properties can be described in terms of the free paths which the molecules describe between collisions. Results for isothermal pressure-driven Poiseuille gas flows in micro-channels are reported, and we compare results with conventional hydrodynamic models, solutions of the Boltzmann equation and experimental data.

Item type: Book Section
ID code: 32101
Keywords: microscale gas flows, Knudsen layer, molecular mean free path, slip flows, Mechanical engineering and machinery, Physics, Mechanical Engineering, Atomic and Molecular Physics, and Optics
Subjects: Technology > Mechanical engineering and machinery
Science > Physics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Depositing user: Pure Administrator
Date Deposited: 13 Jul 2011 09:01
Last modified: 15 Apr 2015 10:01
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/32101

Actions (login required)

View Item View Item