Surface waves in a channel with a variable bottom
Abstract
The weak perturbations are studied which occur in a slightly variable viscous flow subjected to gravity in an inclined channel with a somewhat variable bottom. The analysis is essentially an extension of Johnson's (1972) study carried out for a flat bottom. It is shown that the dynamic waves decrease, allowing the principal perturbation to propagate at the kinematic wave velocity. The problem is shown to involve two small parameters, so that two approximations of the 'shallow water' type should be possible.
- Publication:
-
Revue Roumaine des Sciences Techniques Serie de Mecanique Appliquee
- Pub Date:
- 1975
- Bibcode:
- 1975RvRST..20..357T
- Keywords:
-
- Channel Flow;
- Flow Stability;
- Gravitational Effects;
- Surface Properties;
- Surface Waves;
- Viscous Flow;
- Asymptotic Methods;
- Flow Velocity;
- Navier-Stokes Equation;
- Turbulent Flow;
- Water Flow;
- Wave Dispersion;
- Wave Propagation;
- Fluid Mechanics and Heat Transfer