please help ME :\'( In a medical procedure called catheterization, a cylinder-sh

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please help ME :'(

In a medical procedure called catheterization, a cylinder-shaped probe (radius =2 mm, length =80 mm) is inserted into an artery (radius RA=4 mm) as shown in Figure 3. The gap between the probe and the artery wall must not be small so that blood can flow around the probe. Consequently, the velocity profile in the annular gap between the probe and the artery wall is given by vz ( r ) =-v0[1-r2/R2A+B 1n(r/RA)] where v0=l00 mm/s and B=1.082. Assume that blood is a Newtonian fluid with the same viscosity as water What is the shear stress as a function of radial position (r) in the blood ( RA

Explanation / Answer

a) for this part you have to calculate the d(v)/d(r)
then *d(v)/d(r) would be the required shear strees i guess at r. the pic is not clear so i am assuming the velocity profile is defined in r direction.

b)calculate the *d(Vr)/d(r) at r=Rp.

c) you will get the shear stress per unit area on the probe in part (b). multiply this with the outer cylindrical area of the probe you will get the total force required.

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