Navier started the flow in the derivation of the NS equations in 1822, but before Stokes concluded with his definitive derivation in 1845 there were: However, between these two approaches there were other derivations, a continuum of sorts, attributed to other luminaries of 19th Century science. Navier come up with the first original derivation based on discrete molecular interactions (discrete approach) and Stokes originated the assumption of a continuum directly using viscosity that is the widely referenced approach still taught today. You probably know that the Navier-Stokes (NS) equations are named after Claude-Louis Navier and George Gabriel Stokes.
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