@inbook{f116275e46be4fc798b645266229a26d,
title = "Isothermal micro-channel gas flow using a hydrodynamic model with dissipative mass flux",
abstract = "In this paper we investigate the problem of isothermal pressure driven gas flow through a channel using a continuum equations set with a mass diffusion correction to the mass-density equation. The additional term is invoked as a way of releasing the local-equilibrium assumption in the presence of strong local gradients. Then the dissipative mass flux is proportional to local density/pressure gradient which is constant in a cross section and results in a correction to the velocity profile. Subsequently, better mass-flow rate predictions are obtained than those obtained using Maxwell-type first order slip boundary conditions. Results indicate that the mass diffusion correction captures the {"}Knudsen paradox{"} and change in curvature of the streamwise pressure profile without the need for setting higher order slip boundary conditions.",
keywords = "Knudsen paradox, Mass diffusion, Microchannel gas flow, Pressure distribution, Slip flows",
author = "Nishanth Dongari and Dadzie, {Kokou Sename Enyonam} and Yonghao Zhang and Reese, {Jason M.}",
year = "2011",
month = may,
day = "20",
doi = "10.1063/1.3562731",
language = "English",
isbn = "9780735408890",
series = "AIP Conference Proceedings",
publisher = "AIP Publishing",
number = "1",
pages = "718--723",
booktitle = "27th International Symposium on Rarefied Gas Dynamics",
address = "United States",
note = "27th International Symposium on Rarefied Gas Dynamics, RGD27 ; Conference date: 10-07-2010 Through 15-07-2010",
}