Case Study #2
Characterization of Blood Flow in Blood Vessels
BEE 331 BioFluid Mechanics
Assignment
Throughout the semester, we have made the major assumption that in most situations that
blood can be modeled as a Newtonian fluid.
In actuality, blood is a pseudoplastic, and
shear stress follows the power law as
n
dr
du
K
=
τ
where,
K >0
and 0 < n < 1
(1)
As a general rule, the larger blood vessels can be modeled as Newtonian (n = 1 and K is
the viscosity, μ) but the assumption is not valid for the smaller vessels. However, as a
bioengineer, it is critical to determine the parameters that characterize blood as
Newtonian. To this end, you will explore whether or not a Newtonian assumption is
valid by calculating blood viscosity for each of the main blood vessels in the body.
I.
Using the data given, calculate the maximum
shear stress of each vessel and
use this to find their shear rates and viscosities. State whether or not
Newtonian assumption is valid for each vessel.
Use a loglog graph to make
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 Summer '07
 GEBREMEDHIN,K.
 Shear Stress, Blood vessel, maximum shear stress

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