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- W2023095079 abstract "The theory proposed by Joseph and Sendner [1958] appears to be a substantial advance in our understanding of the processes of horizontal diffusion on the sea surface. On the basis of this theory, Noble [1961] derived an equation giving the concentration C at the center of a dye patch of initial radius R which was initially at the uniform concentration C0. The solution as given by Noble is characterized by a substantial amount of mathematical complexity involving a Fourier-Bessel integral, the evaluation of several infinite integrals of functions of Bessel functions, a series solution, and the reduction of the series to the closed form where t is time and P is the Joseph-Sendner diffusion velocity (assumed to have a constant value of about 1 cm sec−1) . It is unfortunate that this paper is marred by so many misprints that one could quite understandably have some hesitancy in using the final result." @default.
- W2023095079 created "2016-06-24" @default.
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- W2023095079 date "1964-01-15" @default.
- W2023095079 modified "2023-10-17" @default.
- W2023095079 title "A simple derivation of the noble equation for the diffusion of a circular dye patch" @default.
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- W2023095079 doi "https://doi.org/10.1029/jz069i002p00366" @default.
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