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Nonlinear stability of oscillatory core-annular flow: a generalized kuramoto-sivashinsky equation with time periodic coefficients
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Papageorgiou, Demetrios T. Smyrlis, Yiorgos S. Coward, Adrian V. |
| Copyright Year | 1994 |
| Description | In this paper the nonlinear stability of two-phase core-annular flow in a pipe is examined when the acting pressure gradient is modulated by time harmonic oscillations and viscosity stratification and interfacial tension is present. An exact solution of the Navier-Stokes equations is used as the background state to develop an asymptotic theory valid for thin annular layers, which leads to a novel nonlinear evolution describing the spatio-temporal evolution of the interface. The evolution equation is an extension of the equation found for constant pressure gradients and generalizes the Kuramoto-Sivashinsky equation with dispersive effects found by Papageorgiou, Maldarelli & Rumschitzki, Phys. Fluids A 2(3), 1990, pp. 340-352, to a similar system with time periodic coefficients. The distinct regimes of slow and moderate flow are considered and the corresponding evolution is derived. Certain solutions are described analytically in the neighborhood of the first bifurcation point by use of multiple scales asymptotics. Extensive numerical experiments, using dynamical systems ideas, are carried out in order to evaluate the effect of the oscillatory pressure gradient on the solutions in the presence of a constant pressure gradient. |
| File Size | 2477074 |
| Page Count | 50 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950004440 |
| Archival Resource Key | ark:/13960/t86h9gs5z |
| Language | English |
| Publisher Date | 1994-07-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Viscosity Pressure Effects Two Phase Flow Fluid Dynamics Pipes Tubes Dynamical Systems Pressure Gradients Flow Stability Navier-stokes Equation Asymptotic Series Periodic Functions Dispersing Interfacial Tension Harmonic Oscillation Nonlinearity Stratification Compressible Flow Viscous Flow 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 |
