Question

out of 12 points) You want to see if the addition of a 1. catheter significantly affects the shear stress experienced by cells at he vessel wall. A blood vessel of radius R, is catheterized by a catheter with radius R which passes through the center of the vessel In the catheterized vessel, blood continues to flow between the catheter and the vessel wall. With or without the catheter, the pressure drop per unit length in the vessel is a constant Δp/L. Rv The outer wall of the vessel is coated by a thin layer of endothelial cells. At steady-state, derive an equation for: wall, whhr wall Where twall is the shear stress experienced by the cells at the vessel wall when there is no catheter, and τ' experienced by cells at the vessel wall after the vessel has been catheterized wail,catheter is the shear stress You may assume that the blood is a Newtonian, incompressible fluid with density ρ and viscosity μ, and that you may neglect the entry region. Begin with a momentum balance on a differential element.

Answer 1

Hoo 2 at s ㄥ

A P Md R A P 2Ln 2L 2. dざ 2 A p Rv レレ

-A P