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After the vessels mature, the student used them for a disease modeling study. Cell culture medium that perfuses through the vessels was modified with elevated

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  1. After the vessels mature, the student used them for a disease modeling study. Cell culture medium that perfuses through the vessels was modified with elevated lipid contents to mimic the blood in hypertriglyceridemia patients. As a result, the viscosity of the modified culture medium increased by 20%. If the student still applies the same pressure drop (e.g. for vessel #1), how will the wall shear stress change?

  2. How will the maximum velocity of the flow change under the disease condition given in (d)? Calculate the percentage change.

Ap (14 pts) For low-speed (laminar) steady flow through a circular pipe, the velocity varies with radius and takes the form u = B(r? r2) where u is the fluid viscosity and Ap is the pressure drop from entrance to exit. Pipe wall r=r u(r) r= 0

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