4. Reynolds Numbers for Blood Vessels. Typical diameters and mean velocities of various blood vessels are listed in the table below. For each vessel, estimate Reynolds number Red at 37°C with blood viscosity estimated as three times of water viscosity. Assume the thickness of endothelial cell surface layer is 1μm. Diameter (cm) Average velocity (cm/s) Vessel Aorta Artery 2.5 0.5 40 15 Venule Vein Arteriole 0.005 Capillary 0.0008 0.007 0.6 0.6 0.08 0.3 10 Vena cava 3.0 28

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Chapter2: Second-order Linear Odes
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4. Reynolds Numbers for Blood Vessels.
Typical diameters and mean velocities of various blood vessels are listed in the table below.
For each vessel, estimate Reynolds number Red at 37°C with blood viscosity estimated as
three times of water viscosity. Assume the thickness of endothelial cell surface layer is 1μm.
Diameter (cm) Average velocity (cm/s)
Vessel
Aorta
Artery
2.5
0.5
40
15
Venule
Vein
Arteriole 0.005
Capillary 0.0008
0.007
0.6
0.6
0.08
0.3
10
Vena cava 3.0
28
Transcribed Image Text:4. Reynolds Numbers for Blood Vessels. Typical diameters and mean velocities of various blood vessels are listed in the table below. For each vessel, estimate Reynolds number Red at 37°C with blood viscosity estimated as three times of water viscosity. Assume the thickness of endothelial cell surface layer is 1μm. Diameter (cm) Average velocity (cm/s) Vessel Aorta Artery 2.5 0.5 40 15 Venule Vein Arteriole 0.005 Capillary 0.0008 0.007 0.6 0.6 0.08 0.3 10 Vena cava 3.0 28
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