Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

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 - Preprint

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.