A pressurized water tank has a gauge pressure (\(p_A\)) of 35 kPa. A 4-mm-diameter pipe that is 50 m long connects to another tank that is open to the atmosphere. The pipe has a roughness of 0.26 mm. Assume fully-developed flow for the entirety of the pipe. Neglect gravitational effects. Use properties of water at 20°C.Diagram Explanation:- The diagram shows a tank with a gauge pressure of 35 kPa connected to a second tank open to the atmosphere by a straight, horizontal pipe.- The pipe connects at the middle of the tank and is 50 meters long (denoted as \(L=50 \, \text{m}\)).- The pipe has a diameter of 4 mm (denoted as \(d=4 \, \text{mm}\)).- The roughness of the pipe is 0.26 mm.Questions:(a) Assuming the flow is laminar, what would the friction factor and Reynolds number be?(b) Assuming the flow is turbulent, what would the friction factor and Reynolds number be?(c) Is the flow laminar or turbulent? Which of the two Reynolds numbers calculated above is the true Reynolds number? Explain your reasoning in a few sentences.(d) What is the wall shear stress on the pipe?

Given that, Gague pressure of tank, PA=35 kPa,Diameter of pipe, d=4 mm,Length of pipe, L=50…

A pressurized water tank has a gauge pressure (pA) of 35 kPa. A 4-mm-diameter pipe that is 50 m long connects to another tank that is open to the atmosphere. The pipe has a roughness of 0.26 mm. Assume fully-developed flow for the entirety of the pipe. Neglect gravitational effects. Use properties of water at 20°C.

A pressurized water tank has a gauge pressure (pA) of 35 kPa. A 4-mm-diameter pipe that is 50 m long connects to another tank that is open to the atmosphere. The pipe has a roughness of 0.26 mm. Assume fully-developed flow for the entirety of the pipe. Neglect gravitational effects. Use properties of water at 20°C.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A pressurized water tank has a gauge pressure (\(p_A\)) of 35 kPa. A 4-mm-diameter pipe that is 50 m long connects to another tank that is open to the atmosphere. The pipe has a roughness of 0.26 mm. Assume fully-developed flow for the entirety of the pipe. Neglect gravitational effects. Use properties of water at 20°C.

Diagram Explanation:
- The diagram shows a tank with a gauge pressure of 35 kPa connected to a second tank open to the atmosphere by a straight, horizontal pipe.
- The pipe connects at the middle of the tank and is 50 meters long (denoted as \(L=50 \, \text{m}\)).
- The pipe has a diameter of 4 mm (denoted as \(d=4 \, \text{mm}\)).
- The roughness of the pipe is 0.26 mm.

Questions:
(a) Assuming the flow is laminar, what would the friction factor and Reynolds number be?

(b) Assuming the flow is turbulent, what would the friction factor and Reynolds number be?

(c) Is the flow laminar or turbulent? Which of the two Reynolds numbers calculated above is the true Reynolds number? Explain your reasoning in a few sentences.

(d) What is the wall shear stress on the pipe?

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