On the development of characteristics in an oscillating, rotating fluid
Abstract
A source of fluid with an oscillatory strength, which is situated on the axis of a rotating fluid, commences to act at time t = 0. It is described how inviscid, geostrophic forces lead to the development of the characteristic cone when the frequency of oscillation is less than twice the frequency of rotation. Eventually, viscous forces becomes important when the time is O(E exp -1/3), where E is the small Ekman number, in forming the thin shear layer along the surface of the cone.
- Publication:
-
Journal of Engineering Mathematics
- Pub Date:
- 1985
- DOI:
- 10.1007/BF00042876
- Bibcode:
- 1985JEnMa..19..321S
- Keywords:
-
- Flow Equations;
- Internal Waves;
- Inviscid Flow;
- Oscillating Flow;
- Rotating Fluids;
- Ekman Layer;
- Linear Equations;
- Shear Layers;
- Fluid Mechanics and Heat Transfer