The Navier-Stokes equations assume Newtonian fluids where shear stress is proportional to velocity gradient, but many real-world fluids like blood, polymer melts, drilling muds, paints, slurries, and toothpaste are non-Newtonian; modeling these as Newtonian can result in 50% error in pressure drop calculations and completely different velocity profiles (parabolic for Newtonian vs. blunted flat for shear-thinning fluids), leading to incorrect wall shear stress predictions.
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The Newtonian Fluid Assumption Will Wreck Your CFDAjouté :
The Navier-Stokes equations assume your fluid is Newtonian, meaning shear stress is proportional to velocity gradient.
Water and air? Newtonian.
But blood is shear thinning.
Polymer melts are viscoelastic. Drilling muds, paints, slurries, even toothpaste, all non-Newtonian.
Model any of these as Newtonian and your pressure drop can be 50% wrong.
The velocity profile changes shape entirely. Newtonian pipe flow gives a parabolic profile. Shear thinning gives a blunted flat profile. Same geometry, same flow rate, completely different wall shear stress. Full breakdown in the video description.
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