Fluid mechanics derivation

tim945

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Dec 28, 2021
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Hey Mathematicians,

I'm trying to understand a simple derivation from a paper I'm reading. Could anyone show the process of how they arrived at the final equation? What are the units involved, also if you can. Thanks! They are applying the peclet number to the final derivation.

peclet number.PNG
Where U is the mean fluid velocity and H is the height of the fluid channel

Here is the governing equation:
eq 1.PNG
Then they define the flux:
eq 2.PNG
and finally arrive at:
eq 3.PNG
any help on this would be great. Thank you!
 
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