The structure of hypersonic shock waves using Navier-Stokes equations modified to include mass diffusion
| dc.creator | Greenshields, Christopher J | |
| dc.creator | Reese, Jason M | |
| dc.date | 2007-06-01 | |
| dc.date.accessioned | 2026-07-07T08:03:52Z | |
| dc.date.available | 2026-07-07T08:03:52Z | |
| dc.description | 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. | |
| dc.description | written for the 2nd European Conference on AeroSpace Sciences (EUCASS), Belgium, 2007 | |
| dc.identifier | https://arxiv.org/abs/0706.0141 | |
| dc.identifier | http://arxiv.org/abs/0706.0141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129740 | |
| dc.subject | Fluid Dynamics | |
| dc.title | The structure of hypersonic shock waves using Navier-Stokes equations modified to include mass diffusion | |
| dc.type | text |