On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches

Jason Reese, Duncan A. Lockerby, David Emerson

Research output: Contribution to conferencePaper

Abstract

Methods for simulating the critical near-wall region in hydrodynamic models of gas micro-flows are discussed. Two important non-equilibrium flow features - velocity slip at solid walls, and the Knudsen layer (which extends one or two molecular mean free paths into the gas from a surface) - are investigated using different modelling approaches. In addition to a discussion of Maxwell's slip boundary condition, a newly implemented 'wall-function' model that has been developed to improve hydrodynamic simulations of the Knudsen layer is described. Phenomenological methods are compared to physical modelling and it is shown that, while both simulation types have merit, and both can quantitatively improve results in most cases, there are drawbacks associated with each approach. Phenomenological techniques, for example, may not be sufficiently general, whilst issues with applicability and stability are known to exist in some physical models.
Original languageEnglish
Publication statusPublished - 2005
EventInternational Conference on Heat Transfer and Fluid Flow in Microscale - Tuscany, Italy
Duration: 25 Sep 200530 Sep 2005

Conference

ConferenceInternational Conference on Heat Transfer and Fluid Flow in Microscale
CityTuscany, Italy
Period25/09/0530/09/05

Fingerprint

rarefied gases
hydrodynamics
slip
predictions
nonequilibrium flow
gases
mean free path
simulation
boundary conditions

Keywords

  • heat transfer
  • hydrodynamics
  • rareifications
  • gases

Cite this

Reese, J., Lockerby, D. A., & Emerson, D. (2005). On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches. Paper presented at International Conference on Heat Transfer and Fluid Flow in Microscale, Tuscany, Italy, .
Reese, Jason ; Lockerby, Duncan A. ; Emerson, David. / On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches. Paper presented at International Conference on Heat Transfer and Fluid Flow in Microscale, Tuscany, Italy, .
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author = "Jason Reese and Lockerby, {Duncan A.} and David Emerson",
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language = "English",
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Reese, J, Lockerby, DA & Emerson, D 2005, 'On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches' Paper presented at International Conference on Heat Transfer and Fluid Flow in Microscale, Tuscany, Italy, 25/09/05 - 30/09/05, .

On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches. / Reese, Jason; Lockerby, Duncan A. ; Emerson, David.

2005. Paper presented at International Conference on Heat Transfer and Fluid Flow in Microscale, Tuscany, Italy, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches

AU - Reese, Jason

AU - Lockerby, Duncan A.

AU - Emerson, David

PY - 2005

Y1 - 2005

N2 - Methods for simulating the critical near-wall region in hydrodynamic models of gas micro-flows are discussed. Two important non-equilibrium flow features - velocity slip at solid walls, and the Knudsen layer (which extends one or two molecular mean free paths into the gas from a surface) - are investigated using different modelling approaches. In addition to a discussion of Maxwell's slip boundary condition, a newly implemented 'wall-function' model that has been developed to improve hydrodynamic simulations of the Knudsen layer is described. Phenomenological methods are compared to physical modelling and it is shown that, while both simulation types have merit, and both can quantitatively improve results in most cases, there are drawbacks associated with each approach. Phenomenological techniques, for example, may not be sufficiently general, whilst issues with applicability and stability are known to exist in some physical models.

AB - Methods for simulating the critical near-wall region in hydrodynamic models of gas micro-flows are discussed. Two important non-equilibrium flow features - velocity slip at solid walls, and the Knudsen layer (which extends one or two molecular mean free paths into the gas from a surface) - are investigated using different modelling approaches. In addition to a discussion of Maxwell's slip boundary condition, a newly implemented 'wall-function' model that has been developed to improve hydrodynamic simulations of the Knudsen layer is described. Phenomenological methods are compared to physical modelling and it is shown that, while both simulation types have merit, and both can quantitatively improve results in most cases, there are drawbacks associated with each approach. Phenomenological techniques, for example, may not be sufficiently general, whilst issues with applicability and stability are known to exist in some physical models.

KW - heat transfer

KW - hydrodynamics

KW - rareifications

KW - gases

UR - http://dx.doi.org/10.1016/j.ijheatfluidflow.2006.04.012

UR - http://www.engconfintl.org/pastconf/5ahfin.pdf

M3 - Paper

ER -

Reese J, Lockerby DA, Emerson D. On hydrodynamic predictions of near-wall effects in rarefied gases: some phenomenological and modelling approaches. 2005. Paper presented at International Conference on Heat Transfer and Fluid Flow in Microscale, Tuscany, Italy, .