BENG112B_lecture7

# BENG112B_lecture7 - Blood Flow in Large Vessels Recall from...

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Blood Flow in Large Vessels Recall from week 2, if the fluid is Newtonian, lamina (e.g. N R is small): What if you have a non-Newtonian solution (e.g. blood) with Newtonian components? • μ blood / μ plasma = relative viscosity of blood Viscosity is not an intrinsic property ρ ρ U 2 /L inertia μ μ U/L 2 viscous force =N R

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Fahraeus-Lindqvist Effect on Apparent Viscosity For blood flow in cylindrical vessels, μ apparent (or μ blood ) decreases with decreasing vessel radius. This is for cells spaced apart by more than d vessel ! u
Fahraeus-Lindqvist Effect on Apparent Viscosity In very narrow tubes, the inverse behavior occurs and RBCs are well spaced apart. Thus we can calculate the pressure drop from individual RBCs according to Poiseullien pipe flow: where n = and p * = p / * Can be simplied, as this is the correction for μ app Apparent relative viscosity of blood =

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Fahraeus-Lindqvist Effect on Apparent Viscosity Apparent relative viscosity of blood Pressure Larger vessels
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