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Question 1: In a summer house, there is a discharging pipe system for water from inside the house to the ground level. In that horizontal pipe system, there is a 90° corner and the elbow works in here. The water flows at a rate of 30 kg/s to the upward direction. There is an atmospheric pressure at the exit of the elbow. This elbow takes the water from inlet to 45 cm high through the center of the exit. A) What would be the pressure (gage) at the center of the inlet of the elbow? B) Please calculate the anchoring force needed to hold the elbow in pipeline. (The weight of the elbow and water in it is negligible. Assume B=1.01 for inlet and outlet).(Dpipe=12 cm)

Question 1: In a summer house, there is a discharging pipe system for water from inside the house to the ground level. In that horizontal pipe system, there is a 90° corner and the elbow works in here. The water flows at a rate of 30 kg/s to the upward direction. There is an atmospheric pressure at the exit of the elbow. This elbow takes the water from inlet to 45 cm high through the center of the exit. A) What would be the pressure (gage) at the center of the inlet of the elbow? B) Please calculate the anchoring force needed to hold the elbow in pipeline. (The weight of the elbow and water in it is negligible. Assume B=1.01 for inlet and outlet).(Dpipe=12 cm)

Elements Of Electromagnetics
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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Fluid mechanics

Question 1: In a summer house, there is a discharging pipe system for water from inside the house to the ground level. In that horizontal pipe system, there is a 90° corner and the elbow works in here. The water flows at a rate of 30 kg/s to the upward direction. There is an atmospheric pressure at the exit of the elbow. This elbow takes the water from inlet to 45 cm high through the center of the exit. A) What would be the pressure (gage) at the center of the inlet of the elbow? B) Please calculate the anchoring force needed to hold the elbow in pipeline. (The weight of the elbow and water in it is negligible. Assume B=1.01 for inlet and outlet).(Dpipe=12 cm)
Transcribed Image Text:Question 1: In a summer house, there is a discharging pipe system for water from inside the house to the ground level. In that horizontal pipe system, there is a 90° corner and the elbow works in here. The water flows at a rate of 30 kg/s to the upward direction. There is an atmospheric pressure at the exit of the elbow. This elbow takes the water from inlet to 45 cm high through the center of the exit. A) What would be the pressure (gage) at the center of the inlet of the elbow? B) Please calculate the anchoring force needed to hold the elbow in pipeline. (The weight of the elbow and water in it is negligible. Assume B=1.01 for inlet and outlet).(Dpipe=12 cm)
Expert Solution
Step 1

The diagram showing states 1 and 2 along with the forces can be drawn as follows,

Mechanical Engineering homework question answer, step 1, image 1

Step 2

The data given is,

Mechanical Engineering homework question answer, step 2, image 1

 

Step 3

Part (a)

Now let' calculate the velocity, v in the pipe from the mass flow rate formula,

Mechanical Engineering homework question answer, step 3, image 1

The velocity in the pipe will remain constant because the dia of the pipe remains constant.

Step 4

Now apply Bernoulli equation between point (1) and (2) to determine inlet gage pressure,

Mechanical Engineering homework question answer, step 4, image 1

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