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On the nonlinear interfacial instability of rotating core-annular flow
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Coward, Aidrian V. Hall, Philip |
| Copyright Year | 1993 |
| Description | The interfacial stability of rotating core-annular flows is investigated. The linear and nonlinear effects are considered for the case when the annular region is very thin. Both asymptotic and numerical methods are used to solve the flow in the core and film regions which are coupled by a difference in viscosity and density. The long-term behavior of the fluid-fluid interface is determined by deriving its nonlinear evolution in the form of a modified Kuramoto-Sivashinsky equation. We obtain a generalization of this equation to three dimensions. The flows considered are applicable to a wide array of physical problems where liquid films are used to lubricate higher or lower viscosity core fluids, for which a concentric arrangement is desired. Linearized solutions show that the effects of density and viscosity stratification are crucial to the stability of the interface. Rotation generally destabilizes non-axisymmetric disturbances to the interface, whereas the centripetal forces tend to stabilize flows in which the film contains the heavier fluid. Nonlinear affects allow finite amplitude helically travelling waves to exist when the fluids have different viscosities. |
| File Size | 1597233 |
| Page Count | 46 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19930013622 |
| Archival Resource Key | ark:/13960/t0xq1xb3w |
| Language | English |
| Publisher Date | 1993-02-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Viscosity Fluid Films Traveling Waves Asymptotic Methods Annular Flow Flow Stability Rotating Fluids Numerical Analysis Interface Stability Nonlinearity Liquid-liquid Interfaces Stratification Centripetal Force Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
