Alison P. Hooper
Linear stability and energy growth of viscosity stratified flows
Hooper, Alison P.; Malik, Satish V.
Authors
Satish V. Malik
Abstract
The non-normality of the Orr-Sommerfeld equation leads to the possibility of disturbance growth even though all eigenvalues are stable. In single-fluid flow the disturbance growth converges to a limit once the number of modes exceeds a minimum number. In the case of a two-fluid flow, however, convergence is not found. The problem of nonconvergence is due to the presence of the interface and the corresponding interfacial mode. The interface is replaced with a miscible layer of variable viscosity. When the thickness of the miscible layer is approximately equal to the thickness of the critical layer, the flow resembles two-fluid flow and one of the modes starts behaving like the interfacial mode. © 2005 American Institute of Physics.
Citation
Hooper, A. P., Malik, S. V., & Hooper, A. P. (2005). Linear stability and energy growth of viscosity stratified flows. Physics of Fluids, 17(2), 1-8. https://doi.org/10.1063/1.1834931
| Journal Article Type | Article |
|---|---|
| Publication Date | Jan 1, 2005 |
| Journal | Physics of Fluids |
| Print ISSN | 1070-6631 |
| Publisher | AIP Publishing |
| Peer Reviewed | Not Peer Reviewed |
| Volume | 17 |
| Issue | 2 |
| Pages | 1-8 |
| DOI | https://doi.org/10.1063/1.1834931 |
| Keywords | linear stability, energy growth, viscosity stratified flow |
| Public URL | https://uwe-repository.worktribe.com/output/1052047 |
| Publisher URL | http://dx.doi.org/10.1063/1.1834931 |