Projects per year
Abstract
Howard Brenner has recently proposed modifications to the Navier-Stokes equations that relate to a diffusion of fluid volume that would be significant for flows with high density gradients. In a previous paper (Greenshields & Reese, 2007), we found these modifications gave good predictions of the viscous structure of shock waves in argon in the range Mach 1.0-12.0 (while conventional Navier-Stokes equations are known to fail above about Mach 2). However, some areas of concern with this model were a somewhat arbitrary choice of modelling coefficient, and potentially unphysical and unstable solutions. In this paper, we therefore present slightly different modifications to include molecule mass diffusion fully in the Navier-Stokes equations. These modifications are shown to be stable and produce physical solutions to the shock problem of a quality broadly similar to those from the family of extended hydrodynamic models that includes the Burnett equations. The modifications primarily add a diffusion term to the mass conservation equation, so are at least as simple to solve as the Navier-Stokes equations; there are none of the numerical implementation problems of conventional extended hydrodynamics models, particularly in respect of boundary conditions. We recommend further investigation and testing on a number of different benchmark non-equilibrium flow cases.
Original language | English |
---|---|
Title of host publication | 2nd European Conference on Aero-Space Sciences (EUCASS) |
Number of pages | 8 |
Publication status | Published - Jul 2007 |
Event | 2nd European Conference on AeroSpace Sciences (EUCASS), 2007 - Brussels, Belgium Duration: 1 Jul 2007 → 6 Jul 2007 |
Conference
Conference | 2nd European Conference on AeroSpace Sciences (EUCASS), 2007 |
---|---|
Abbreviated title | EUCASS 2007 |
Country/Territory | Belgium |
City | Brussels |
Period | 1/07/07 → 6/07/07 |
Keywords
- fluid dynamics
- aerospace
- structures
- composites
- design engineering
Fingerprint
Dive into the research topics of 'The structure of hypersonic shock waves using Navier-Stokes equations modified to include mass diffusion'. Together they form a unique fingerprint.Projects
- 2 Finished
-
Extended Continuum Models for Transient and Rarefied Hypersonic Aerothermodynamics
Reese, J. (Principal Investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/11/07 → 31/10/10
Project: Research
-
A High-Order Continuum Model for Computational Hypersonic Aerodynamics
Reese, J. (Principal Investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/09/04 → 30/09/07
Project: Research