On the stability of a plane two-layer Poiseuille flow
Abstract
The stability of a plane two-layer Poiseuille flow is investigated with the aid of the theory of infinitesimal perturbations. The wall layer is assumed to be thin and of small viscosity as compared to thickness and viscosity of the core layer. Results show a pronounced increase of the critical Reynolds numbers as compared to the plane one-layer Poiseuille flow. Wave triads have been calculated for various Reynolds numbers which initiate resonance and lead to a stronger increase with time of the amplitudes, as well as to a formation of three-dimensional structures.
- Publication:
-
Acta Mechanica
- Pub Date:
- 1975
- Bibcode:
- 1975AcMec..23...75H
- Keywords:
-
- Flow Stability;
- Fluid Films;
- Laminar Flow;
- Perturbation Theory;
- Viscosity;
- Eigenvalues;
- Layers;
- Numerical Analysis;
- Turbulent Flow;
- Wall Flow;
- Fluid Mechanics and Heat Transfer