ECE_3820_lecture_18_2011

ECE_3820_lecture_18_2011 - Blood modeled as a non-Newtonian...

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Blood modeled as a non-Newtonian fluid 1) Casson Model . Useful for low shear rates. Most popular for representing the non-Newtonian behavior of blood over a wide range of Hct. x yx x dV dy τη τ = Shear stress Casson viscosity Yield stress x yx dV dy = − Remember Newton’s Law of Viscosity:
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Blood modeled as a non-Newtonian fluid 2) Power Law Model : an empirical relationship between shear stress and strain rate. Not applicable at very low shear rates. When m= µ and n=1 1 n xx yx dV dV m dy dy τ = − x yx dV dy τµ = − n not equal to 1 is a measure of the non-Newtonian behavior of the fluid. Typically, n<1 for blood (viscosity decreases with increasing shear rate, a behavior termed pseudoplastic ). Blood behaves as a pseudoplastic fluid over a large range of shear rates. m=power law viscosity
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Blood modeled as a non-Newtonian fluid 3) Bingham Plastic Model : A Bingham plastic remains rigid when the shear stress is lower than the yield stress ( τ 0 ) but behaves
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ECE_3820_lecture_18_2011 - Blood modeled as a non-Newtonian...

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