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Consider the following statements: 
1. The friction factor in laminar flow through pipes is independent of roughness.
2. The friction factor for laminar flow through pipes is directlyproportional to Reynolds number.
3. In fully turbulent flow, through pipes, friction factor is independentof Reynolds number.Which of the statements given above are correct?
  • a)
    1, 2 and 3
  • b)
    1 and 3 only
  • c)
    2 and 3 only
  • d)
    1 and 2 only
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following statements:1. The friction factor in laminar fl...
Ans. (b) The friction factor in laminar flow through pipes is given by the expression
which is independent of roughness.
The friction factor for laminar flow through pipes is inversely proportional to Reynolds number.
In fully turbulent flow through pipes friction factor is independent of Reynolds number.
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Most Upvoted Answer
Consider the following statements:1. The friction factor in laminar fl...
Explanation:

The statements given in the question are related to the friction factor in laminar and turbulent flow through pipes. Let's analyze each statement to determine their correctness.

Statement 1: The friction factor in laminar flow through pipes is independent of roughness.

In laminar flow, the flow is smooth and the fluid moves in parallel layers with no mixing between the layers. The friction factor in laminar flow is determined by the flow's characteristics and is not influenced by the roughness of the pipe wall. Therefore, statement 1 is correct.

Statement 2: The friction factor for laminar flow through pipes is directly proportional to Reynolds number.

Reynolds number (Re) is a dimensionless quantity that represents the ratio of inertial forces to viscous forces in a fluid flow. In laminar flow, the Reynolds number is typically low, and the friction factor is inversely proportional to the Reynolds number. Therefore, statement 2 is incorrect.

Statement 3: In fully turbulent flow through pipes, the friction factor is independent of Reynolds number.

In fully turbulent flow, the flow is characterized by chaotic and irregular motion, with mixing and eddies present within the fluid. In this regime, the friction factor is influenced by the Reynolds number. The higher the Reynolds number, the greater the impact of turbulent flow on the friction factor. Therefore, statement 3 is incorrect.

Based on the above analysis, the correct statements are 1 and 3 only.

Correct answer: b) 1 and 3 only
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Consider the following statements:1. The friction factor in laminar flow through pipes is independent of roughness.2. The friction factor for laminar flow through pipes is directlyproportional to Reynolds number.3. In fully turbulent flow, through pipes, friction factor is independentof Reynolds number.Which of the statements given above are correct?a)1, 2 and 3b)1 and 3 onlyc)2 and 3 onlyd)1 and 2 onlyCorrect answer is option 'B'. Can you explain this answer?
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