Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.12271 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929716326301696 |
|---|---|
| author | Sharma, Prashant |
| author_facet | Sharma, Prashant |
| contents | We develop a general transfer-matrix formalism for determining the growth rate of the Rayleigh-Taylor instability in a fluid system with spatially varying density and viscosity. We use this formalism to analytically and numerically treat the case of a stratified heterogeneous fluid. We introduce the inviscid-flow approximation in our transfer-matrix formalism to find analytic solutions in the limit of uniform kinematic viscosity for a stratified heterogeneous fluid. We discuss the applicability of these results and the no-acceleration approximation that also yields analytical solutions in the large viscosity limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12271 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rayleigh Taylor Instability in Multiple Finite-Thickness Fluid Layers Sharma, Prashant Fluid Dynamics Geophysics Plasma Physics We develop a general transfer-matrix formalism for determining the growth rate of the Rayleigh-Taylor instability in a fluid system with spatially varying density and viscosity. We use this formalism to analytically and numerically treat the case of a stratified heterogeneous fluid. We introduce the inviscid-flow approximation in our transfer-matrix formalism to find analytic solutions in the limit of uniform kinematic viscosity for a stratified heterogeneous fluid. We discuss the applicability of these results and the no-acceleration approximation that also yields analytical solutions in the large viscosity limit. |
| title | Rayleigh Taylor Instability in Multiple Finite-Thickness Fluid Layers |
| topic | Fluid Dynamics Geophysics Plasma Physics |
| url | https://arxiv.org/abs/2403.12271 |