Alison P. Hooper
Linear stability and energy growth of viscosity stratified flows
Hooper, Alison P.; Malik, Satish V.
Satish V. Malik
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.
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|
|Peer Reviewed||Not Peer Reviewed|
|Keywords||linear stability, energy growth, viscosity stratified flow|