Loading...
Please wait, while we are loading the content...
Similar Documents
Wind-driven currents in a shallow lake or sea
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Goldstein, M. E. Gedney, R. T. |
| Copyright Year | 1971 |
| Description | For shallow lakes and seas such as the great lakes (especially Lake Erie) where the depth is not much greater than the Ekman depth, the usual Ekman dynamics cannot be used to predict the wind driven currents. The necessary extension to include shallow bodies of water, given by Welander, leads to a partial differential equation for the surface displacement which in turn determines all other flow quantities. A technique for obtaining exact analytical solutions to Welander's equation for bodies of water with large class of bottom topographies which may or may not contain islands is given. It involves applying conformal mapping methods to an extension of Welander's equation into the complex plane. When the wind stress is constant (which is the usual assumption for lakes) the method leads to general solutions which hold for bodies of water of arbitrary shape (the shape appears in the solutions through a set of constants which are the coefficients in the Laurent expansion of a mapping of the particular lake geometry). The method is applied to an elliptically shaped lake and a circular lake containing an eccentrically located circular island. |
| File Size | 904205 |
| Page Count | 28 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19720004678 |
| Archival Resource Key | ark:/13960/t05x72w8n |
| Language | English |
| Publisher Date | 1971-01-01 |
| Access Restriction | Open |
| Subject Keyword | Geophysics Conformal Mapping Topography Air Water Interactions Lakes Wind Velocity Boundary Layer Transition Mathematical Models Ocean Currents Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
