Langmuir-Maxwell and Langmuir-Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics

Nam Tuan Phuong Le, Craig White, Jason Reese, R.S. Myong

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The simulation of nonequilibrium thermal gas flow is important for the aerothermodynamic design of re-entry and other high-altitude vehicles. In computational fluid dynamics, the accuracy of the solution to the Navier–Stokes–Fourier (N–S–F) equations depends on the accuracy of the surface boundary conditions. We propose new boundary conditions (called the Langmuir–Maxwell and the Langmuir–Smoluchowski conditions), for use with the N–S–F equations, which combine the Langmuir surface adsorption isotherm with the Maxwell/Smoluchowski slip/jump conditions in order to capture some of the physical processes involved in gas flow over a surface. These new conditions are validated for flat plate flow, circular cylinder in cross-flow, and the flow over a sharp wedge for Mach numbers ranging from 6 to 24, and for argon and nitrogen as the working gases. Our simulation results show that the new boundary conditions give better predictions for the surface pressures, compared with published experimental and DSMC data.
LanguageEnglish
Pages5032-5043
JournalInternational Journal of Heat and Mass Transfer
Volume55
Issue number19-20
DOIs
Publication statusPublished - Sep 2012

Fingerprint

hypersonics
Hypersonic aerodynamics
Flow simulation
Flow Simulation
Gas Flow
aerodynamics
Aerodynamics
gas flow
Flow of gases
Boundary conditions
boundary conditions
Navier-Stokes
aerothermodynamics
reentry
cross flow
simulation
circular cylinders
high altitude
flat plates
computational fluid dynamics

Keywords

  • Langmuir–Maxwell
  • Langmuir–Smoluchowski
  • New boundary conditions
  • Adsorption
  • Hypersonics
  • Simulation results

Cite this

Le, Nam Tuan Phuong ; White, Craig ; Reese, Jason ; Myong, R.S. / Langmuir-Maxwell and Langmuir-Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics. In: International Journal of Heat and Mass Transfer. 2012 ; Vol. 55, No. 19-20. pp. 5032-5043.
@article{6a7127be2b7140c2b76fced6e8eaa548,
title = "Langmuir-Maxwell and Langmuir-Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics",
abstract = "The simulation of nonequilibrium thermal gas flow is important for the aerothermodynamic design of re-entry and other high-altitude vehicles. In computational fluid dynamics, the accuracy of the solution to the Navier–Stokes–Fourier (N–S–F) equations depends on the accuracy of the surface boundary conditions. We propose new boundary conditions (called the Langmuir–Maxwell and the Langmuir–Smoluchowski conditions), for use with the N–S–F equations, which combine the Langmuir surface adsorption isotherm with the Maxwell/Smoluchowski slip/jump conditions in order to capture some of the physical processes involved in gas flow over a surface. These new conditions are validated for flat plate flow, circular cylinder in cross-flow, and the flow over a sharp wedge for Mach numbers ranging from 6 to 24, and for argon and nitrogen as the working gases. Our simulation results show that the new boundary conditions give better predictions for the surface pressures, compared with published experimental and DSMC data.",
keywords = "Langmuir–Maxwell , Langmuir–Smoluchowski , New boundary conditions , Adsorption , Hypersonics , Simulation results",
author = "Le, {Nam Tuan Phuong} and Craig White and Jason Reese and R.S. Myong",
year = "2012",
month = "9",
doi = "10.1016/j.ijheatmasstransfer.2012.04.050",
language = "English",
volume = "55",
pages = "5032--5043",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
number = "19-20",

}

Langmuir-Maxwell and Langmuir-Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics. / Le, Nam Tuan Phuong; White, Craig; Reese, Jason; Myong, R.S.

In: International Journal of Heat and Mass Transfer, Vol. 55, No. 19-20, 09.2012, p. 5032-5043.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Langmuir-Maxwell and Langmuir-Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics

AU - Le, Nam Tuan Phuong

AU - White, Craig

AU - Reese, Jason

AU - Myong, R.S.

PY - 2012/9

Y1 - 2012/9

N2 - The simulation of nonequilibrium thermal gas flow is important for the aerothermodynamic design of re-entry and other high-altitude vehicles. In computational fluid dynamics, the accuracy of the solution to the Navier–Stokes–Fourier (N–S–F) equations depends on the accuracy of the surface boundary conditions. We propose new boundary conditions (called the Langmuir–Maxwell and the Langmuir–Smoluchowski conditions), for use with the N–S–F equations, which combine the Langmuir surface adsorption isotherm with the Maxwell/Smoluchowski slip/jump conditions in order to capture some of the physical processes involved in gas flow over a surface. These new conditions are validated for flat plate flow, circular cylinder in cross-flow, and the flow over a sharp wedge for Mach numbers ranging from 6 to 24, and for argon and nitrogen as the working gases. Our simulation results show that the new boundary conditions give better predictions for the surface pressures, compared with published experimental and DSMC data.

AB - The simulation of nonequilibrium thermal gas flow is important for the aerothermodynamic design of re-entry and other high-altitude vehicles. In computational fluid dynamics, the accuracy of the solution to the Navier–Stokes–Fourier (N–S–F) equations depends on the accuracy of the surface boundary conditions. We propose new boundary conditions (called the Langmuir–Maxwell and the Langmuir–Smoluchowski conditions), for use with the N–S–F equations, which combine the Langmuir surface adsorption isotherm with the Maxwell/Smoluchowski slip/jump conditions in order to capture some of the physical processes involved in gas flow over a surface. These new conditions are validated for flat plate flow, circular cylinder in cross-flow, and the flow over a sharp wedge for Mach numbers ranging from 6 to 24, and for argon and nitrogen as the working gases. Our simulation results show that the new boundary conditions give better predictions for the surface pressures, compared with published experimental and DSMC data.

KW - Langmuir–Maxwell

KW - Langmuir–Smoluchowski

KW - New boundary conditions

KW - Adsorption

KW - Hypersonics

KW - Simulation results

UR - http://www.scopus.com/inward/record.url?scp=84863505949&partnerID=8YFLogxK

UR - http://www.sciencedirect.com/science/journal/00179310/55/19-20

U2 - 10.1016/j.ijheatmasstransfer.2012.04.050

DO - 10.1016/j.ijheatmasstransfer.2012.04.050

M3 - Article

VL - 55

SP - 5032

EP - 5043

JO - International Journal of Heat and Mass Transfer

T2 - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 19-20

ER -