@inproceedings{82e25c59426840ad925d9e1864431d95,
title = "Gas-flow animation by the 'piston effect' in a microchannel",
abstract = "The 'piston effect', namely the time response of a fluid to an instantaneous change in the temperature of its boundaries, is studied for a rarefied gas confined in a slab. The problem is solved for the entire range of Knudsen numbers in the case where the prescribed temperature jumps at the walls are small. Analytic solutions are obtained in both collisionless and continuum limits and compared with low-variance direct Monte Carlo simulations (LVDSMC) of the Boltzmann equation. The collisionless analysis captures well the early-time dynamics of the system (at times t of the order of the mean collision time τcoll), where the gas motion is essentially ballistic, and the continuum-limit analysis agrees with LVDSMC predictions at times t≥50τcoll, where the system behaviour is dominated by molecular collisions. Between these two limits, the dynamics of the system is governed by the solution of the complete linearized Boltzmann equation. The results supply insight into the mechanism of continuum breakdown in heat-flow problems at the micro-scale. Extension of the theory to study the system response to arbitrary time-dependent heating is briefly mentioned and will be discussed in the presentation.",
keywords = "Microscale heat transfer, collisionless flow, low-variance Monte Carlo simulations, rarefied gas dynamics, slip flow",
author = "A. Manela and Hadjiconstantinou, {N. G.}",
year = "2011",
doi = "10.1063/1.3637812",
language = "الإنجليزيّة",
isbn = "9780735409569",
series = "AIP Conference Proceedings",
pages = "1126--1129",
booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",
note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",
}