Variable density model for the Rayleigh-Taylor instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations
File(s)JDG-PRF-2021.pdf (192.51 KB)
Published version
Author(s)
Gibbon, John D
Type
Journal Article
Abstract
It is shown how the variable density model that governs the Rayleigh-Taylor instability for the miscible mixing of two incompressible fluids can be transformed into a diffusive version of the inhomogeneous, incompressible Navier-Stokes equations forced by gradients of the composition density
ρ
of the mixing layer. This demonstrates how buoyancy-driven flows drive and enhance Navier-Stokes turbulence. The role of the potential vorticity
q
=
ω
⋅
∇
ρ
is also discussed.
ρ
of the mixing layer. This demonstrates how buoyancy-driven flows drive and enhance Navier-Stokes turbulence. The role of the potential vorticity
q
=
ω
⋅
∇
ρ
is also discussed.
Date Issued
2021-08-05
Date Acceptance
2021-07-19
Citation
Physical Review Fluids, 2021, 6 (8), pp.1-7
ISSN
2469-990X
Publisher
American Physical Society
Start Page
1
End Page
7
Journal / Book Title
Physical Review Fluids
Volume
6
Issue
8
Copyright Statement
©2021 American Physical Society
Identifier
https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.6.L082601
Subjects
0102 Applied Mathematics
0203 Classical Physics
0913 Mechanical Engineering
Publication Status
Published
Article Number
L082601
Date Publish Online
2021-08-05