I have been performing convection-diffusion transport studies on microfluidic channels like the following

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I came across an article that illustrates the effect fo Peclet number on concentration profiles in different branches in the microfluid channel (ref).

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I would like to request for explanations/references that explain how such an analysis has to be done. For instance, I am looking for description on how Peclet number is computed for a microfluid channel while simulating 1D transport.

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EDIT: The concentration profiles are obtained after performing numerical simulations. The equation that is solved is the 1D convection-diffusion equation


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