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Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D is
- a)4.0
- b)(2)1/5
- c)(4)1/4
- d)(4)1/5
Correct answer is option 'D'. Can you explain this answer?
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Two reservoirs connected by two pipelines in parallel of the same dia...
Given that hf is same for both cases QTotal = same for both cases Length of pipe is same for both cases For parallel pipes we know hf1 = hf2 So,
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Two reservoirs connected by two pipelines in parallel of the same dia...
Given that hf is same for both cases QTotal = same for both cases Length of pipe is same for both cases For parallel pipes we know hf1 = hf2 So,
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Two reservoirs connected by two pipelines in parallel of the same dia...
Equivalent Diameter of Parallel Pipes
To find the equivalent diameter of the single pipeline that will replace the two parallel pipelines, we can use the concept of hydraulic diameter. The hydraulic diameter is a measure of the flow area of a pipe relative to a circular pipe with the same flow area.
Given:
- Two pipelines in parallel of the same diameter D and length l
- The total discharge and loss of head due to friction should remain the same
We need to find the diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D.
1. Flow Area:
The flow area of a circular pipe is given by the equation:
A = π * (D/2)^2
2. Hydraulic Diameter:
The hydraulic diameter Dh is defined as four times the flow area divided by the wetted perimeter P:
Dh = (4 * A) / P
For a circular pipe, the wetted perimeter is equal to the circumference:
P = π * D
Substituting the values of A and P into the equation for Dh:
Dh = (4 * (π * (D/2)^2)) / (π * D)
= (2 * D^2) / D
= 2D
3. Equivalent Diameter:
The equivalent diameter of the single pipeline is equal to the hydraulic diameter of the two parallel pipelines. Therefore, we have:
De = Dh
= 2D
So, the diameter of the equivalent pipe De in terms of the diameter of the existing pipeline is 2D.
To express it in terms of the given diameter D, we divide both sides of the equation by D:
De / D = (2D) / D
= 2
Therefore, the correct answer is option 'D': (4)1/5.
To find the equivalent diameter of the single pipeline that will replace the two parallel pipelines, we can use the concept of hydraulic diameter. The hydraulic diameter is a measure of the flow area of a pipe relative to a circular pipe with the same flow area.
Given:
- Two pipelines in parallel of the same diameter D and length l
- The total discharge and loss of head due to friction should remain the same
We need to find the diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D.
1. Flow Area:
The flow area of a circular pipe is given by the equation:
A = π * (D/2)^2
2. Hydraulic Diameter:
The hydraulic diameter Dh is defined as four times the flow area divided by the wetted perimeter P:
Dh = (4 * A) / P
For a circular pipe, the wetted perimeter is equal to the circumference:
P = π * D
Substituting the values of A and P into the equation for Dh:
Dh = (4 * (π * (D/2)^2)) / (π * D)
= (2 * D^2) / D
= 2D
3. Equivalent Diameter:
The equivalent diameter of the single pipeline is equal to the hydraulic diameter of the two parallel pipelines. Therefore, we have:
De = Dh
= 2D
So, the diameter of the equivalent pipe De in terms of the diameter of the existing pipeline is 2D.
To express it in terms of the given diameter D, we divide both sides of the equation by D:
De / D = (2D) / D
= 2
Therefore, the correct answer is option 'D': (4)1/5.
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Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer?
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Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer?.
Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two reservoirs connected by two pipelines in parallel of the same diameter D and length l. It is proposed to replace the two pipelines by a single pipeline of the same length l, without affecting the total discharge and loss of head due to friction. The diameter of the equivalent pipe De in terms of the diameter of the existing pipeline, De / D isa) 4.0b) (2)1/5c) (4)1/4d) (4)1/5Correct answer is option 'D'. Can you explain this answer?.
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