Instability of a viscous-fluid jet flowing along a wall
Abstract
The theory of the free interaction of a boundary layer with an outer potential flow is used to study the stability of a jet flow near a flat wall and the evolution of disturbances generated by an oscillator mounted on the wall. The dispersion relation which links the free-oscillation frequency and the wavenumber turns out to be precisely the same as that which determines the stability of a Poiseuille flow in an unbounded channel. The positions of the roots of the dispersion equation are found to determine the properties of the solution to the problem of harmonic disturbances generated by the aforementioned oscillator. The analysis of oscillations with an amplitude increasing with time can be based on the nonlinear Prandtl equations with self-induced pressure.
- Publication:
-
PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
- Pub Date:
- April 1982
- Bibcode:
- 1982PMTF........26R
- Keywords:
-
- Flow Stability;
- Fluid Jets;
- Viscous Flow;
- Wall Jets;
- Boundary Layer Equations;
- Laminar Flow;
- Oscillating Flow;
- Perturbation Theory;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer