Accession Number : AD0726178

Title :   Application of the Telegraph Equation to Oceanic Diffusion: Another Mathematical Model.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD CHESAPEAKE BAY INST

Personal Author(s) : Okubo,Akira

Report Date : MAR 1971

Pagination or Media Count : 43

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, microorganism 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. (Author)

Descriptors :   (*OCEAN CURRENTS, MATHEMATICAL MODELS), DIFFUSION, STATISTICAL FUNCTIONS, TURBULENCE, NUMERICAL METHODS AND PROCEDURES, MATHEMATICAL PREDICTION

Subject Categories : Physical and Dynamic Oceanography

Distribution Statement : APPROVED FOR PUBLIC RELEASE