The velocity boundary condition at solid walls in rarefied gas calculations

Duncan A. Lockerby, Jason Reese, David Emerson, Robert W. Barber

Research output: Contribution to journalArticle

171 Citations (Scopus)
44 Downloads (Pure)

Abstract

Maxwell's famous slip boundary condition is often misapplied in current rarefied gas flow calculations (e.g., in hypersonics, microfluidics). For simulations of gas flows over curved or moving surfaces, this means crucial physics can be lost. We give examples of such cases. We also propose a higher-order boundary condition based on Maxwell's general equation and the constitutive relations derived by Burnett. Unlike many other higher-order slip conditions these are applicable to any form of surface geometry. It is shown that these "Maxwell-Burnett" boundary conditions are in reasonable agreement with the limited experimental data available for Poiseuille flow and can also predict Sone's thermal-stress slip flow - a phenomenon which cannot be captured by conventional slip boundary conditions.
Original languageEnglish
Article number017303
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume70
Issue number1
DOIs
Publication statusPublished - Jul 2004

Fingerprint

Rarefied Gas
Slip Boundary Condition
rarefied gases
Rarefied Gas Flow
Higher Order
boundary conditions
Slip Flow
Boundary conditions
Slip Condition
slip
Order Conditions
Poiseuille Flow
Thermal Stress
Constitutive Relations
Microfluidics
Gas Flow
gas flow
Physics
Experimental Data
slip flow

Keywords

  • statistical physics
  • fluid mechanics
  • physics
  • mechanical engineering
  • gases

Cite this

@article{02878c1b4c0448cda481bb74d6ced258,
title = "The velocity boundary condition at solid walls in rarefied gas calculations",
abstract = "Maxwell's famous slip boundary condition is often misapplied in current rarefied gas flow calculations (e.g., in hypersonics, microfluidics). For simulations of gas flows over curved or moving surfaces, this means crucial physics can be lost. We give examples of such cases. We also propose a higher-order boundary condition based on Maxwell's general equation and the constitutive relations derived by Burnett. Unlike many other higher-order slip conditions these are applicable to any form of surface geometry. It is shown that these {"}Maxwell-Burnett{"} boundary conditions are in reasonable agreement with the limited experimental data available for Poiseuille flow and can also predict Sone's thermal-stress slip flow - a phenomenon which cannot be captured by conventional slip boundary conditions.",
keywords = "statistical physics, fluid mechanics, physics, mechanical engineering, gases",
author = "Lockerby, {Duncan A.} and Jason Reese and David Emerson and Barber, {Robert W.}",
year = "2004",
month = "7",
doi = "10.1103/PhysRevE.70.017303",
language = "English",
volume = "70",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

The velocity boundary condition at solid walls in rarefied gas calculations. / Lockerby, Duncan A. ; Reese, Jason; Emerson, David; Barber, Robert W.

In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , Vol. 70, No. 1, 017303, 07.2004.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The velocity boundary condition at solid walls in rarefied gas calculations

AU - Lockerby, Duncan A.

AU - Reese, Jason

AU - Emerson, David

AU - Barber, Robert W.

PY - 2004/7

Y1 - 2004/7

N2 - Maxwell's famous slip boundary condition is often misapplied in current rarefied gas flow calculations (e.g., in hypersonics, microfluidics). For simulations of gas flows over curved or moving surfaces, this means crucial physics can be lost. We give examples of such cases. We also propose a higher-order boundary condition based on Maxwell's general equation and the constitutive relations derived by Burnett. Unlike many other higher-order slip conditions these are applicable to any form of surface geometry. It is shown that these "Maxwell-Burnett" boundary conditions are in reasonable agreement with the limited experimental data available for Poiseuille flow and can also predict Sone's thermal-stress slip flow - a phenomenon which cannot be captured by conventional slip boundary conditions.

AB - Maxwell's famous slip boundary condition is often misapplied in current rarefied gas flow calculations (e.g., in hypersonics, microfluidics). For simulations of gas flows over curved or moving surfaces, this means crucial physics can be lost. We give examples of such cases. We also propose a higher-order boundary condition based on Maxwell's general equation and the constitutive relations derived by Burnett. Unlike many other higher-order slip conditions these are applicable to any form of surface geometry. It is shown that these "Maxwell-Burnett" boundary conditions are in reasonable agreement with the limited experimental data available for Poiseuille flow and can also predict Sone's thermal-stress slip flow - a phenomenon which cannot be captured by conventional slip boundary conditions.

KW - statistical physics

KW - fluid mechanics

KW - physics

KW - mechanical engineering

KW - gases

U2 - 10.1103/PhysRevE.70.017303

DO - 10.1103/PhysRevE.70.017303

M3 - Article

VL - 70

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 017303

ER -