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Consider the steady, incompressible blood flow through the following vascular network: 100 µm diameter which is 80...

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Physics

Consider the steady, incompressibleblood flow through the following vascular network: 100 µm diameterwhich is 80 mm in length to the first branching point, which can beestimated as a standard tee (flow through run), the branch off thetee turns 45 degrees and undergoes a constriction to 65 µm diameterand the flow through run continues for another 80 mm. The velocityof the blood into the 100 µm diameter vessel is 100 mm/s and 20% ofthe mass flow rate exits via the branch.

a) What are the velocities of both therun and branch?

b) What is the change in pressure fromthe inlet to the end of the run?

c) What length would the branch needto be to achieve the same pressure drop?

d) What assumptions did you make incompleting this problem.

Answer & Explanation Solved by verified expert
4.2 Ratings (630 Votes)
a We can consider the density of the blood very close to thedensity of water then the mass flow rate will equal the volumetricflow    See Answer
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