### Abstract

Language | English |
---|---|

Pages | 80-87 |

Journal | Progress in Aerospace Sciences |

Volume | 52 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 2012 |

### Fingerprint

### Keywords

- high-speed flow
- thermodynamic non-equilibrium
- boundary conditions
- compressible flows
- simulation
- rarefied gas dynamics
- temperature-jump
- velocity slip

### Cite this

*Progress in Aerospace Sciences*,

*52*(1), 80-87. https://doi.org/10.1016/j.paerosci.2011.08.001

}

*Progress in Aerospace Sciences*, vol. 52, no. 1, pp. 80-87. https://doi.org/10.1016/j.paerosci.2011.08.001

**Rarefied hypersonic flow simulations using the Navier-Stokes equations with non-equilibrium boundary conditions.** / Greenshields, Christopher; Reese, Jason.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Rarefied hypersonic flow simulations using the Navier-Stokes equations with non-equilibrium boundary conditions

AU - Greenshields, Christopher

AU - Reese, Jason

PY - 2012/7

Y1 - 2012/7

N2 - This paper investigates the use of Navier-Stokes-Fourier equations with non-equilibrium boundary conditions (BCs) for simulation of rarefied hypersonic flows. It revisits a largely forgotten derivation of velocity slip and temperature jump by Patterson, based on Grad’s moment method. Mach 10 flow around a cylinder and Mach 12.7 flow over a flat plate are simulated using both computational fluid dynamics using the temperature jump BCs of Patterson and Smoluchowski and the direct simulation Monte-Carlo (DMSC) method. These flow exhibit such strongly non-equilibrium behaviour that, following Patterson’s analysis, they are strictly beyond the range of applicability of the BCs. Nevertheless, the results using Patterson’s temperature jump BC compare quite well with the DSMC and are consistently better than those using the standard Smoluchowski temperature jump BC. One explanation for this better performance is that an assumption made by Patterson, based on the flow being only slightly non-equilibrium, introduces an additional constraint to the resulting BC model in the case of highly non-equilibrium flows.

AB - This paper investigates the use of Navier-Stokes-Fourier equations with non-equilibrium boundary conditions (BCs) for simulation of rarefied hypersonic flows. It revisits a largely forgotten derivation of velocity slip and temperature jump by Patterson, based on Grad’s moment method. Mach 10 flow around a cylinder and Mach 12.7 flow over a flat plate are simulated using both computational fluid dynamics using the temperature jump BCs of Patterson and Smoluchowski and the direct simulation Monte-Carlo (DMSC) method. These flow exhibit such strongly non-equilibrium behaviour that, following Patterson’s analysis, they are strictly beyond the range of applicability of the BCs. Nevertheless, the results using Patterson’s temperature jump BC compare quite well with the DSMC and are consistently better than those using the standard Smoluchowski temperature jump BC. One explanation for this better performance is that an assumption made by Patterson, based on the flow being only slightly non-equilibrium, introduces an additional constraint to the resulting BC model in the case of highly non-equilibrium flows.

KW - high-speed flow

KW - thermodynamic non-equilibrium

KW - boundary conditions

KW - compressible flows

KW - simulation

KW - rarefied gas dynamics

KW - temperature-jump

KW - velocity slip

UR - http://www.scopus.com/inward/record.url?scp=84861094494&partnerID=8YFLogxK

U2 - 10.1016/j.paerosci.2011.08.001

DO - 10.1016/j.paerosci.2011.08.001

M3 - Article

VL - 52

SP - 80

EP - 87

JO - Progress in Aerospace Sciences

T2 - Progress in Aerospace Sciences

JF - Progress in Aerospace Sciences

SN - 0376-0421

IS - 1

ER -