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Consider the following statements pertaining to boundary layer:
1. Boundary layer is a thin layer adjacent to the boundary where maximum viscous energy dissipation takes place.
2. Boundary layer thickness is a thickness by which the ideal flow isshifted.
3. Separation of boundary layer is caused by presence of adverse pressure gradient.
Which of these statements are correct? 
  • a)
    1, 2 and 3
  • b)
    1 and 2
  • c)
    1 and 3
  • d)
    2 and 3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the following statements pertaining to boundary layer:1. Boun...
Ans. (c) 2 is wrong it defines displacement thickness.
Boundary layer thickness: The thickness of the boundary layer is arbitrarily defined as that distance from the boundary in which the velocity reaches 99 percent of the velocity of the free stream. It is denoted by the symbol δ
Displacement thickness: dy

It is the distance, measured perpendicular to the boundary, by which the main/free stream is displaced on account of formation of boundary layer.
or,
It is an additional "wall thickness" that would have to be added to compensate
for the reduction in flow rate on account of boundary layer formation
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Most Upvoted Answer
Consider the following statements pertaining to boundary layer:1. Boun...
Boundary Layer
The boundary layer is a thin layer of fluid that forms adjacent to a solid boundary when a fluid flows over it. It is characterized by a gradual transition from the no-slip condition at the surface of the solid to the free-stream condition further away from the boundary. The boundary layer plays a crucial role in many fluid flow phenomena and is of significant importance in various engineering applications.

Statement 1: Boundary layer is a thin layer adjacent to the boundary where maximum viscous energy dissipation takes place.
This statement is correct. The boundary layer is the region where viscous effects dominate and energy is dissipated due to viscosity. The velocity gradients within the boundary layer result in shear stresses, which cause energy dissipation through viscous effects. Therefore, the maximum energy dissipation due to viscosity occurs within the boundary layer.

Statement 2: Boundary layer thickness is a thickness by which the ideal flow is shifted.
This statement is incorrect. The boundary layer thickness is not a measure of how the ideal flow is shifted. Rather, it is a measure of the extent of the velocity gradient within the boundary layer. The thickness of the boundary layer increases with distance from the leading edge, indicating that the flow is gradually slowed down and the velocity profile becomes more uniform towards the outer region of the boundary layer.

Statement 3: Separation of boundary layer is caused by the presence of an adverse pressure gradient.
This statement is correct. The separation of the boundary layer occurs when there is an adverse pressure gradient along the surface. An adverse pressure gradient means that the pressure decreases in the direction of flow. This adverse pressure gradient causes the fluid particles near the surface to decelerate, resulting in an increase in the boundary layer thickness and a separation of the flow from the surface. When the flow separates, it forms a region of recirculation and turbulence, leading to a loss of efficiency and increased drag.

Conclusion:
In conclusion, statements 1 and 3 are correct. The boundary layer is a thin layer where maximum viscous energy dissipation takes place, and the separation of the boundary layer is caused by the presence of an adverse pressure gradient. Statement 2 is incorrect as the boundary layer thickness is not a measure of how the ideal flow is shifted.
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Consider the following statements pertaining to boundary layer:1. Boundary layer is a thin layer adjacent to the boundary where maximum viscous energy dissipation takes place.2. Boundary layer thickness is a thickness by which the ideal flow isshifted.3. Separation of boundary layer is caused by presence of adverse pressure gradient.Which of these statements are correct?a)1, 2 and 3b)1 and 2c)1 and 3d)2 and 3Correct answer is option 'C'. Can you explain this answer?
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