GATE Exam > GATE Questions > 365.Figure 1.8 shows the flow net for two dim...
Start Learning for Free
365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to?
Most Upvoted Answer
365.Figure 1.8 shows the flow net for two dimensional contraction. The...
Solution:
Given data:
Size of mesh square at O, Δx = 7 mm
Size of mesh square at A, Δx = 3.5 mm
We have to determine the dimensionless pressure at point A.
Flow net:
The flow net is a graphical representation of the flow of water through the soil. It consists of a series of flow lines and equipotential lines. Flow lines represent the direction of flow of water, while equipotential lines represent the lines of equal hydraulic potential.
The flow net for two-dimensional contraction is shown in Figure 1.8. The flow is from left to right. The flow lines are straight and parallel to each other. The equipotential lines are curved and perpendicular to the flow lines.
Calculation:
The dimensionless pressure at point A can be determined using the following equation:
P = (h1 - h2) / H
Where,
h1 = head at point O
h2 = head at point A
H = total head loss
From the flow net, we can see that the head at point O is 7Δx and the head at point A is 2Δx. Therefore,
h1 = 7Δx
h2 = 2Δx
The total head loss can be determined as follows:
H = (h1 - h2) / n
Where,
n = number of flow channels
From the flow net, we can see that there are 6 flow channels. Therefore,
H = (7Δx - 2Δx) / 6 = Δx
Substituting the values in the equation for P, we get:
P = (7Δx - 2Δx) / 6Δx = 5 / 6
Therefore, the dimensionless pressure at point A is 5 / 6.
Conclusion:
The dimensionless pressure at point A in the flow net for two-dimensional contraction is 5 / 6. The flow net is a graphical representation of the flow of water through the soil. It consists of a series of flow lines and equipotential lines. The flow lines represent the direction of flow of water, while the equipotential lines represent the lines of equal hydraulic potential. The head at point O is 7Δx and the head at point A is 2Δx. The total head loss is Δx.
Given data:
Size of mesh square at O, Δx = 7 mm
Size of mesh square at A, Δx = 3.5 mm
We have to determine the dimensionless pressure at point A.
Flow net:
The flow net is a graphical representation of the flow of water through the soil. It consists of a series of flow lines and equipotential lines. Flow lines represent the direction of flow of water, while equipotential lines represent the lines of equal hydraulic potential.
The flow net for two-dimensional contraction is shown in Figure 1.8. The flow is from left to right. The flow lines are straight and parallel to each other. The equipotential lines are curved and perpendicular to the flow lines.
Calculation:
The dimensionless pressure at point A can be determined using the following equation:
P = (h1 - h2) / H
Where,
h1 = head at point O
h2 = head at point A
H = total head loss
From the flow net, we can see that the head at point O is 7Δx and the head at point A is 2Δx. Therefore,
h1 = 7Δx
h2 = 2Δx
The total head loss can be determined as follows:
H = (h1 - h2) / n
Where,
n = number of flow channels
From the flow net, we can see that there are 6 flow channels. Therefore,
H = (7Δx - 2Δx) / 6 = Δx
Substituting the values in the equation for P, we get:
P = (7Δx - 2Δx) / 6Δx = 5 / 6
Therefore, the dimensionless pressure at point A is 5 / 6.
Conclusion:
The dimensionless pressure at point A in the flow net for two-dimensional contraction is 5 / 6. The flow net is a graphical representation of the flow of water through the soil. It consists of a series of flow lines and equipotential lines. The flow lines represent the direction of flow of water, while the equipotential lines represent the lines of equal hydraulic potential. The head at point O is 7Δx and the head at point A is 2Δx. The total head loss is Δx.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to?
Question Description
365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to?.
365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to?.
Solutions for 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? defined & explained in the simplest way possible. Besides giving the explanation of
365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to?, a detailed solution for 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? has been provided alongside types of 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? theory, EduRev gives you an
ample number of questions to practice 365.Figure 1.8 shows the flow net for two dimensional contraction. The size of mesh square at O is 7 mm, and at point A, the mesh size is 3.5 mm The dimensionless pressure at A,is equal to? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup