The branching of a blood vessel is shown. Blood at pressure of 10 kPa gage flows in the main vessel at 0.004 m³/min. Estimate the blood pressure in branches 2 and 3, assuming that blood vessels behave as rigid tubes, that the flow is steady, frictionless, uniform, and that the vessel lies in the horizontal plane (i.e. you can neglect gravity). You can assume that for blood p = 1000 kg/m³, µ= 0.00282 Pa.s. Q3 Q2 = 0.0025 m³/min 60° 45° D2 = 0.75 cm D3 = 0.25 cm D, = 1 cm Q1 = 0.004 m³/Imin P, = 10 kPa gage

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.34P
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The branching of a blood vessel is shown. Blood at pressure of 10 kPa gage flows in the main vessel at
0.004 m3/min.
Estimate the blood pressure in branches 2 and 3, assuming that blood vessels behave as rigid tubes, that
the flow is steady, frictionless, uniform, and that the vessel lies in the horizontal plane (i.e. you can
neglect gravity). You can assume that for blood p= 1000 kg/m³, µ= 0.00282 Pa.s.
Q3
Q2 = 0.0025 m³/min
60°.
45°
D2 = 0.75 cm
D3 = 0.25 cm
D, = 1 cm
Q1 = 0.004 m/min
P, = 10 kPa gage
Transcribed Image Text:The branching of a blood vessel is shown. Blood at pressure of 10 kPa gage flows in the main vessel at 0.004 m3/min. Estimate the blood pressure in branches 2 and 3, assuming that blood vessels behave as rigid tubes, that the flow is steady, frictionless, uniform, and that the vessel lies in the horizontal plane (i.e. you can neglect gravity). You can assume that for blood p= 1000 kg/m³, µ= 0.00282 Pa.s. Q3 Q2 = 0.0025 m³/min 60°. 45° D2 = 0.75 cm D3 = 0.25 cm D, = 1 cm Q1 = 0.004 m/min P, = 10 kPa gage
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