Task 1: Consider a simplified shape of a blood vein branching- similar to the Brachial vein. You like to determine whether this person is having a hypertension (high blood pressure) or a hypotension by determining the pressure in the main vein. Note that a nominal value for the normal pressure for that specific vein is 140 mmHg. If the found value is higher, we can consider the person to be hypertensive. Assume a blood density of 1050 [kg/m³] and a viscosity of 3.5 [Pa.s] Is this a hypertension case? (i.e., is the pressure in the main vein P1> 140 mmHg? What is the classification of the flow in the main vein, r,= 7.5 mm? (laminar or turbulent)? Show your work. P3=l.5KPa 6=4 mm ri=7.5mm 2 2= 3 mm *= 0.02%s Figure 1: Schematic diagram of task

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Fluid Mechanics

Task 1:
Consider a simplified shape of a blood vein branching- similar to the Brachial vein. You like to determine
whether this person is having a hypertension (high blood pressure) or a hypotension by determining the
pressure in the main vein. Note that a nominal value for the normal pressure for that specific vein is 140 mmHg.
If the found value is higher, we can consider the person to be hypertensive. Assume a blood density of 1050
[kg/m°] and a viscosity of 3.5 [Pa.s]
Is this a hypertension case? (i.e., is the pressure in the main vein P1 > 140 mmHg?
What is the classification of the flow in the main vein, r1=7.5 mm? (laminar or turbulent)? Show your
work.
P3 = 1.5 KPa
G=4 mm
ri=7.5mm
3
2= 3 mm
* = 0.02%s
Figure 1: Schematic diagram of task
Nnumbers from American Heart Association, Journal of Cardiovascular Surgery
Transcribed Image Text:Task 1: Consider a simplified shape of a blood vein branching- similar to the Brachial vein. You like to determine whether this person is having a hypertension (high blood pressure) or a hypotension by determining the pressure in the main vein. Note that a nominal value for the normal pressure for that specific vein is 140 mmHg. If the found value is higher, we can consider the person to be hypertensive. Assume a blood density of 1050 [kg/m°] and a viscosity of 3.5 [Pa.s] Is this a hypertension case? (i.e., is the pressure in the main vein P1 > 140 mmHg? What is the classification of the flow in the main vein, r1=7.5 mm? (laminar or turbulent)? Show your work. P3 = 1.5 KPa G=4 mm ri=7.5mm 3 2= 3 mm * = 0.02%s Figure 1: Schematic diagram of task Nnumbers from American Heart Association, Journal of Cardiovascular Surgery
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