3.3. Hagen-Poiseuille Flow: Fluid flows through a variable-diameter pipe as shown in the figure above. The pipe dimensions, flow rate, and fluid properties are as follows: L₁ = L2 = L3 = 4 cm A₁ = 1 cm², A₂ = 4 cm², A3 = 0.25 cm² Q = 100 cm³/s p = 1.06 g/cm³ k = 3.5 cP 20 segment 1 A₁ A2 segment 2 L₂ Ap segment 3 L3 A3 Use conservation of mass, the Hagen-Poiseuille relationship, and the electrical circuit analogy to answer the following: a) What should the total pressure drop be across the length of this variable-diameter pipe in order to provide the given flow rate Q? (Use the Hagen-Poiseuille relation and the electrical analogy; each segment is a resistor.) b) What is the average velocity u for each segment? (Mass conservation.) c) What is the Reynolds number (Re=PD) for each segment?

3.3. Hagen-Poiseuille Flow: Fluid flows through a variable-diameter pipe as shown in the figure above. The pipe dimensions, flow rate, and fluid properties are as follows: L₁ = L2 = L3 = 4 cm A₁ = 1 cm², A₂ = 4 cm², A3 = 0.25 cm² Q = 100 cm³/s p = 1.06 g/cm³ k = 3.5 cP 20 segment 1 A₁ A2 segment 2 L₂ Ap segment 3 L3 A3 Use conservation of mass, the Hagen-Poiseuille relationship, and the electrical circuit analogy to answer the following: a) What should the total pressure drop be across the length of this variable-diameter pipe in order to provide the given flow rate Q? (Use the Hagen-Poiseuille relation and the electrical analogy; each segment is a resistor.) b) What is the average velocity u for each segment? (Mass conservation.) c) What is the Reynolds number (Re=PD) for each segment?

Name: 3.3.Hagen-Poiseuille Flow: Fluid flows through a variable-diameter pi
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Description: 3.3.Hagen-Poiseuille Flow: Fluid flows through a variable-diameter pipe as shown in thefigure above. The pipe dimensions, flow rate, and fluid properties are as follows:L₁ L₂ L3 = 4 cmA₁ = 1 cm², A₂ = 4 cm². A3 = 0.25 cm²Q = 100 cm³/sp= 1.06 g/cm³u

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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3.3.
Hagen-Poiseuille Flow: Fluid flows through a variable-diameter pipe as shown in the
figure above. The pipe dimensions, flow rate, and fluid properties are as follows:
L₁ L₂ L3 = 4 cm
A₁ = 1 cm², A₂ = 4 cm². A3 = 0.25 cm²
Q = 100 cm³/s
p= 1.06 g/cm³
u = 3.5 cP
segment 1
20₁
A₁
A₂
segment 2
L₂
Ap
segment 3
L3
A3 →
Use conservation of mass, the Hagen-Poiseuille relationship, and the electrical circuit
analogy to answer the following:
a) What should the total pressure drop be across the length of this variable-diameter pipe
in order to provide the given flow rate Q? (Use the Hagen-Poiseuille relation and the
electrical analogy; each segment is a resistor.)
b) What is the average velocity u for each segment? (Mass conservation.)
c) What is the Reynolds number (Re =
– PHD) for each segment?
d) What are the velocities at the centerline and at the wall for each segment?

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