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 |