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The finite‐difference equation of diffusion (consistent with Einstein's evolution equation of diffusion) without the assumption of small mean free path is discussed. This equation predicts significant deviations from classical behavior for the simplest geometry: fluid in a pipe with a large density gradient, such that one end is at the Fickian limit, the other end is at Knudsen limit and there can...
It is shown that various multicomponent diffusion equations can be written in the generalized Maxwell–Stefan (MS) form by using a simple generalization of the inversion method presented in a publication by Merk [1959. Applied Scientific Research A 8, 73–99]. The new approach can be considered a reformulation of the Curtiss–Bird inversion [1999. Industrial & Engineering Chemistry Research 38(7),...
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