Show simple item record

Empirical slip and viscosity model performance for microscale gas flow

dc.contributor.authorMcNenly, Matthew J.en_US
dc.contributor.authorGallis, Michael A.en_US
dc.contributor.authorBoyd, Iain D.en_US
dc.date.accessioned2007-01-17T15:52:31Z
dc.date.available2007-01-17T15:52:31Z
dc.date.issued2005-12-20en_US
dc.identifier.citationMcNenly, 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.issn0271-2091en_US
dc.identifier.issn1097-0363en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/49276
dc.description.abstractFor 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.extent234586 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherJohn Wiley & Sons, Ltd.en_US
dc.subject.otherEngineeringen_US
dc.subject.otherNumerical Methods and Modelingen_US
dc.titleEmpirical slip and viscosity model performance for microscale gas flowen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment 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.affiliationumDepartment of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationotherEngineering 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.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/49276/1/1012_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/fld.1012en_US
dc.identifier.sourceInternational Journal for Numerical Methods in Fluidsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Show simple item record

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.