Water waves in a nonhomogeneous incompressible fluid
Abstract
After a brief discussion of some undesirable features of a number of different partial differential equations often employed in the existing literature on water waves, a relatively simple restricted theory is constructed by a direct approach which is particularly suited for applications to problems of fluid sheets. The rest of the paper is concerned with a derivation of a system of nonlinear differential equations (which may include the effects of gravity and surface tension) governing the two-dimensional motion of incompressible inviscid fluids for propagation of fairly long waves in a nonhomogeneous stream of water of variable initial depth, as well as some new results pertaining to hydraulic jumps. The latter includes an additional class of possible solutions not noted previously.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- June 1977
- Bibcode:
- 1977STIN...7810419G
- Keywords:
-
- Incompressible Fluids;
- Water Waves;
- Wave Propagation;
- Differential Equations;
- Gravity Waves;
- Inviscid Flow;
- Nonlinear Equations;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer