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Consider fully developed laminar flow in a circular pipe of a fixed length
1. The friction factor is inversely proportional to Reynolds number
2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe
3. The friction factor is higher for a rough pipe as compared to a smooth pipe
4. The pressure drop in the pipe is proportional to the square of average of flow in the pipe
What of the above statements are correct?
- a)1 and 4
- b)3 and 4
- c)2 and 3
- d)1 and 2
Correct answer is option 'D'. Can you explain this answer?
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Consider fully developed laminar flow in a circular pipe of a fixed l...
1 is true, 2 is true, 3 is false as friction factor only depends on Reynolds number of the pipe and has nothing to do with roughness of pipe. 4 is false as pressure drop is directly proportional U and U × !rea = Q. So, if area is constant then U is proportional to Q and hence pressure drop is also proportional to Q.
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Consider fully developed laminar flow in a circular pipe of a fixed l...
Laminar Flow in a Circular Pipe
Laminar flow refers to a smooth and orderly flow of fluid in a pipe, where the fluid particles move in parallel layers with minimal mixing. In the case of fully developed laminar flow, the velocity profile across the pipe diameter remains constant and the flow characteristics do not change along the pipe length.
1. The friction factor is inversely proportional to Reynolds number
The friction factor, also known as the Darcy-Weisbach friction factor or the Moody friction factor, is a dimensionless quantity that represents the resistance to flow in a pipe. It is denoted by the symbol f. The Reynolds number (Re) is another dimensionless parameter that relates the inertial forces to the viscous forces in a fluid flow. It is given by the formula Re = (ρVD)/μ, where ρ is the density of the fluid, V is the average velocity of the flow, D is the hydraulic diameter of the pipe, and μ is the dynamic viscosity of the fluid.
In laminar flow, the friction factor is directly proportional to the Reynolds number. This means that as the Reynolds number increases, the friction factor decreases. The relationship between the friction factor and Reynolds number for laminar flow can be expressed as f = 16/Re.
2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe
The pressure drop in a pipe is caused by the resistance to flow and is related to the average velocity of the flow. In laminar flow, the pressure drop is directly proportional to the average velocity of the flow. This means that as the average velocity increases, the pressure drop also increases. The relationship between the pressure drop and average velocity for laminar flow can be expressed as ΔP = f(ρV^2)/2, where ΔP is the pressure drop and f is the friction factor.
3. The friction factor is higher for a rough pipe as compared to a smooth pipe
In general, the friction factor is higher for a rough pipe as compared to a smooth pipe. This is because the roughness of the pipe surface leads to additional resistance to flow, resulting in a higher friction factor. The roughness of a pipe is characterized by a parameter known as the relative roughness (ε/D), where ε is the average height of the roughness elements on the pipe surface and D is the hydraulic diameter of the pipe. A higher relative roughness value corresponds to a rougher pipe surface and a higher friction factor.
4. The pressure drop in the pipe is proportional to the square of the average velocity of the flow in the pipe
The pressure drop in a pipe is not directly proportional to the square of the average velocity of the flow in laminar flow. Instead, it is proportional to the average velocity itself (ΔP = f(ρV^2)/2), as mentioned earlier. The square of the average velocity does not have a direct relationship with the pressure drop in laminar flow.
Therefore, among the given statements, only statements 1 and 2 are correct.
Laminar flow refers to a smooth and orderly flow of fluid in a pipe, where the fluid particles move in parallel layers with minimal mixing. In the case of fully developed laminar flow, the velocity profile across the pipe diameter remains constant and the flow characteristics do not change along the pipe length.
1. The friction factor is inversely proportional to Reynolds number
The friction factor, also known as the Darcy-Weisbach friction factor or the Moody friction factor, is a dimensionless quantity that represents the resistance to flow in a pipe. It is denoted by the symbol f. The Reynolds number (Re) is another dimensionless parameter that relates the inertial forces to the viscous forces in a fluid flow. It is given by the formula Re = (ρVD)/μ, where ρ is the density of the fluid, V is the average velocity of the flow, D is the hydraulic diameter of the pipe, and μ is the dynamic viscosity of the fluid.
In laminar flow, the friction factor is directly proportional to the Reynolds number. This means that as the Reynolds number increases, the friction factor decreases. The relationship between the friction factor and Reynolds number for laminar flow can be expressed as f = 16/Re.
2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe
The pressure drop in a pipe is caused by the resistance to flow and is related to the average velocity of the flow. In laminar flow, the pressure drop is directly proportional to the average velocity of the flow. This means that as the average velocity increases, the pressure drop also increases. The relationship between the pressure drop and average velocity for laminar flow can be expressed as ΔP = f(ρV^2)/2, where ΔP is the pressure drop and f is the friction factor.
3. The friction factor is higher for a rough pipe as compared to a smooth pipe
In general, the friction factor is higher for a rough pipe as compared to a smooth pipe. This is because the roughness of the pipe surface leads to additional resistance to flow, resulting in a higher friction factor. The roughness of a pipe is characterized by a parameter known as the relative roughness (ε/D), where ε is the average height of the roughness elements on the pipe surface and D is the hydraulic diameter of the pipe. A higher relative roughness value corresponds to a rougher pipe surface and a higher friction factor.
4. The pressure drop in the pipe is proportional to the square of the average velocity of the flow in the pipe
The pressure drop in a pipe is not directly proportional to the square of the average velocity of the flow in laminar flow. Instead, it is proportional to the average velocity itself (ΔP = f(ρV^2)/2), as mentioned earlier. The square of the average velocity does not have a direct relationship with the pressure drop in laminar flow.
Therefore, among the given statements, only statements 1 and 2 are correct.
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Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer?
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Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct 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 Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct 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 Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer?.
Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct 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 Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct 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 Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer?.
Solutions for Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider fully developed laminar flow in a circular pipe of a fixed length1. The friction factor is inversely proportional to Reynolds number2. The pressure drop in the pipe is proportional to the average velocity of the flow in the pipe3. The friction factor is higher for a rough pipe as compared to a smooth pipe4. The pressure drop in the pipe is proportional to the square of average of flow in the pipeWhat of the above statements are correct?a) 1 and 4b) 3 and 4c) 2 and 3d) 1 and 2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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