3. ( We have seen that a fluid's velocity in a round channel is given by: I P („² – R² ) R=channel radius 4µ dx u State all the assumptions for which this equation applies. ) Assume that the flow (Q) through a blood vessel is maintained at a fixed rate. a. b. An obstruction in the vessel causes a 20% decrease in the vessel diameter. What percentage increase or decrease will be required to maintain the same flow through the obstructed artery? ) For a flow rate of 3L/min, what will be the shear stress at the wall of the major artery? Assume that the artery diameter is 20 mm and that the viscosity is 3 cP and a fluic density of 1000 kg/m³. What is the Reynolds number in this flow? с. d.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3. (
We have seen that a fluid's velocity in a round channel is given by:
1 dp
( -R) R= channel radius
4µ dx
u
State all the assumptions for which this equation applies.
) Assume that the flow (Q) through a blood vessel is maintained at a fixed rate.
а.
b.
An obstruction in the vessel causes a 20% decrease in the vessel diameter. What
percentage increase or decrease will be required to maintain the same flow through the
obstructed artery?
) For a flow rate of 3L/min, what will be the shear stress at the wall of the major
artery? Assume that the artery diameter is 20 mm and that the viscosity is 3 cP and a fluid
density of 1000 kg/m³.
What is the Reynolds number in this flow?
с.
d.
Transcribed Image Text:3. ( We have seen that a fluid's velocity in a round channel is given by: 1 dp ( -R) R= channel radius 4µ dx u State all the assumptions for which this equation applies. ) Assume that the flow (Q) through a blood vessel is maintained at a fixed rate. а. b. An obstruction in the vessel causes a 20% decrease in the vessel diameter. What percentage increase or decrease will be required to maintain the same flow through the obstructed artery? ) For a flow rate of 3L/min, what will be the shear stress at the wall of the major artery? Assume that the artery diameter is 20 mm and that the viscosity is 3 cP and a fluid density of 1000 kg/m³. What is the Reynolds number in this flow? с. d.
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