shear stress reduction via pnc-Si: analytical solution REVISITED
Hi all,
A while back (in the link below) I have posted the analytical solution that allows us to solve the flow rate distribution in our shear-free system.
shear stress reduction via pnc-Si: analytical solution
However we do not have a closed-form solution at that time.
After a brief discussion we believe that there should be a closed-form solution and consulted Professor Alfred Clark. Shortly after, he replied with the closed-form solution. And so Voilà here we have it, the solution is presented in the .pdf file in the following link.
shear reduction analytical solution
Can you post a graphical comparison between the two solutions?
Sure, I can do that pretty soon. But they are much identical….. as both yield the exact solution. The only discrepancy would come from round off errors from the fact that the flow rate is so small in the flow compartment…
(nondimensionalization may help a bit)