Empirical slip and viscosity model performance for microscale gas flow
dc.contributor.author | McNenly, Matthew J. | en_US |
dc.contributor.author | Gallis, Michael A. | en_US |
dc.contributor.author | Boyd, Iain D. | en_US |
dc.date.accessioned | 2007-01-17T15:52:31Z | |
dc.date.available | 2007-01-17T15:52:31Z | |
dc.date.issued | 2005-12-20 | en_US |
dc.identifier.citation | McNenly, Matthew J.; Gallis, Michael A.; Boyd, Iain D. (2005)."Empirical slip and viscosity model performance for microscale gas flow." International Journal for Numerical Methods in Fluids 49(11): 1169-1191. <http://hdl.handle.net/2027.42/49276> | en_US |
dc.identifier.issn | 0271-2091 | en_US |
dc.identifier.issn | 1097-0363 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/49276 | |
dc.description.abstract | For the simple geometries of Couette and Poiseuille flows, the velocity profile maintains a similar shape from continuum to free molecular flow. Therefore, modifications to the fluid viscosity and slip boundary conditions can improve the continuum based Navier–Stokes solution in the non-continuum non-equilibrium regime. In this investigation, the optimal modifications are found by a linear least-squares fit of the Navier–Stokes solution to the non-equilibrium solution obtained using the direct simulation Monte Carlo (DSMC) method. Models are then constructed for the Knudsen number dependence of the viscosity correction and the slip model from a database of DSMC solutions for Couette and Poiseuille flows of argon and nitrogen gas, with Knudsen numbers ranging from 0.01 to 10. Finally, the accuracy of the models is measured for non-equilibrium cases both in and outside the DSMC database. Flows outside the database include: combined Couette and Poiseuille flow, partial wall accommodation, helium gas, and non-zero convective acceleration. The models reproduce the velocity profiles in the DSMC database within an L 2 error norm of 3% for Couette flows and 7% for Poiseuille flows. However, the errors in the model predictions outside the database are up to five times larger. Copyright © 2005 John Wiley & Sons, Ltd. | en_US |
dc.format.extent | 234586 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | John Wiley & Sons, Ltd. | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Numerical Methods and Modeling | en_US |
dc.title | Empirical slip and viscosity model performance for microscale gas flow | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, U.S.A. ; 2012 FXB Building, 1320 Beal St., Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationother | Engineering Sciences Center, Sandia National Laboratories, Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. Albuquerque, NM 87185, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/49276/1/1012_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/fld.1012 | en_US |
dc.identifier.source | International Journal for Numerical Methods in Fluids | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.