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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?
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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.
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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?
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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?.
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