On diffusive timescales
(2020) , 9 pages
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DiffusionTimescales.pdf
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- Abstract
- We assess the strengths and weaknesses of the classical diffusive timescale, i.e. the ratio of the square of the size of the domain to a characteristic value of the diffusivity (e.g. the domain-averaged diffusivity). On the basis of existing analytical solutions of one-dimensional diffusive problems, slightly different timescales are suggested, which, unfortunately, offer no decisive advantages. Things are seen to be even more intricate when dealing with a one-dimensional advection-diffusion problem. Clearly, asking for more than an order of magnitude is futile.
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Citations
Deleersnijder, E. (2020). On diffusive timescales. https://hdl.handle.net/2078.5/96806