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Consider the following statements pertaining to boundary layer on a flat plate
1. The thickness of laminar boundary layer at a distance x from the leading edge varies as x1⁄2
2. The thickness of turbulent boundary layer at a distance x from the leading edge varies as x4⁄5
3. Boundary layer is laminar when Reynolds number is less than 5 × 105
Which of the above statements are correct?
  • a)
    1, 2 and 3
  • b)
    1 and 2 only
  • c)
    1 and 3 only
  • d)
    2 and 3 only
Correct answer is option 'A'. Can you explain this answer?
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Consider the following statements pertaining to boundary layer on a f...
For laminar boundary layer
For Turbulent boundary layer
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Consider the following statements pertaining to boundary layer on a f...
Reynolds number and boundary layer thickness on a flat plate

The given statements pertain to the boundary layer on a flat plate and the variation of its thickness with distance x from the leading edge. Let's analyze each statement and determine their correctness.

Statement 1: The thickness of the laminar boundary layer at a distance x from the leading edge varies as x^(1/2)

This statement is correct. The thickness of the laminar boundary layer, also known as the momentum boundary layer, increases with the square root of the distance x from the leading edge. This relationship is derived from the boundary layer theory and can be expressed mathematically as δ_laminar = (5x/√Re_x), where δ_laminar is the thickness of the laminar boundary layer and Re_x is the Reynolds number at distance x.

Statement 2: The thickness of the turbulent boundary layer at a distance x from the leading edge varies as x^(4/5)

This statement is correct. The thickness of the turbulent boundary layer, also known as the energy boundary layer, increases with the power of 4/5 of the distance x from the leading edge. This relationship is also derived from the boundary layer theory and can be expressed mathematically as δ_turbulent = (0.37x/Re_x^(1/5)), where δ_turbulent is the thickness of the turbulent boundary layer and Re_x is the Reynolds number at distance x.

Statement 3: The boundary layer is laminar when the Reynolds number is less than 5 × 10^5

This statement is correct. The laminar boundary layer exists when the flow has a low Reynolds number, typically less than 5 × 10^5. At lower Reynolds numbers, the flow is smooth and exhibits a laminar flow pattern. As the Reynolds number increases beyond this threshold, the flow becomes more turbulent, and the laminar boundary layer transitions to a turbulent boundary layer.

In conclusion, all the given statements are correct:

a) 1, 2, and 3.
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Community Answer
Consider the following statements pertaining to boundary layer on a f...
For laminar boundary layer
For Turbulent boundary layer
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Consider the following statements pertaining to boundary layer on a flat plate1. The thickness of laminar boundary layer at a distance x from the leading edge varies as x1⁄22. The thickness of turbulent boundary layer at a distance x from the leading edge varies as x4⁄53. Boundary layer is laminar when Reynolds number is less than 5 × 105Which of the above statements are correct?a) 1, 2 and 3b) 1 and 2 onlyc) 1 and 3 onlyd) 2 and 3 onlyCorrect answer is option 'A'. Can you explain this answer?
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Consider the following statements pertaining to boundary layer on a flat plate1. The thickness of laminar boundary layer at a distance x from the leading edge varies as x1⁄22. The thickness of turbulent boundary layer at a distance x from the leading edge varies as x4⁄53. Boundary layer is laminar when Reynolds number is less than 5 × 105Which of the above statements are correct?a) 1, 2 and 3b) 1 and 2 onlyc) 1 and 3 onlyd) 2 and 3 onlyCorrect answer is option 'A'. 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 the following statements pertaining to boundary layer on a flat plate1. The thickness of laminar boundary layer at a distance x from the leading edge varies as x1⁄22. The thickness of turbulent boundary layer at a distance x from the leading edge varies as x4⁄53. Boundary layer is laminar when Reynolds number is less than 5 × 105Which of the above statements are correct?a) 1, 2 and 3b) 1 and 2 onlyc) 1 and 3 onlyd) 2 and 3 onlyCorrect answer is option 'A'. 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 the following statements pertaining to boundary layer on a flat plate1. The thickness of laminar boundary layer at a distance x from the leading edge varies as x1⁄22. The thickness of turbulent boundary layer at a distance x from the leading edge varies as x4⁄53. Boundary layer is laminar when Reynolds number is less than 5 × 105Which of the above statements are correct?a) 1, 2 and 3b) 1 and 2 onlyc) 1 and 3 onlyd) 2 and 3 onlyCorrect answer is option 'A'. Can you explain this answer?.
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