Application Of The Telegraph Equation To Oceanic Diffusion: Another Mathematic model
| Author(s) | Okubo, Akira | |
| Date Accessioned | 2005-07-31T20:01:43Z | |
| Date Available | 2005-07-31T20:01:43Z | |
| Publication Date | 1971-03 | |
| Abstract | The solution of the conventional diffusion equation has an obvious shortcoming; that is, the substance concentration will rise instantaneously everywhere when substance is introduced at some point in the sea. Although such instantaneous propagation of substance makes a negligibly small contribution to the concentration at large distances from the source, it might cause serious error in predicting water pollution, micro-organism distributions, etc. A diffusion equation which overcomes this difficulty is the telegraph equation characterized by a finite propagation velocity. An ad hoc derivation of the telegraph equation from a set of hydromechanical equations identifies the parameters involved in the equation. Thus, the propagation velocity is related to the correlation tensor of turbulent velocity. As a result, the one-particle dispersion law by Taylor and the relative diffusion law by Richardson can be deduced from the telegraph equation. | en |
| Sponsor | Office of Naval Research, U.S. Atomic Energy Commission, National Science Foundation | en |
| Extent | 2672421 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/1439 | |
| Language | en_US | |
| Part of Series | Cⅇ78 | |
| Keywords | telegraph equation | en |
| Keywords | oceanic difussion | en |
| Keywords | mathematical model | en |
| Title | Application Of The Telegraph Equation To Oceanic Diffusion: Another Mathematic model | en |
| Type | Technical Report | en |