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Which one of the following is the correct relationship between the boundary layer thickness δ, displacement thickness δ* and the momentum thickness θ?
- a)δ >δ* > θ
- b)δ*> θ > δ
- c)θ >δ >δ*
- d)θ > δ*> δ
Correct answer is option 'A'. Can you explain this answer?
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Ans. (a) δ >δ*>θ >δ**
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Boundary Layer Thickness, Displacement Thickness, and Momentum Thickness Relationship:
The correct relationship between the boundary layer thickness, displacement thickness, and momentum thickness is as follows:
Therefore, the correct relationship is given by:
* > * > *
This relationship indicates that the boundary layer thickness is greater than the displacement thickness, which in turn is greater than the momentum thickness. It shows how these parameters are related to each other in the context of boundary layer analysis.
The correct relationship between the boundary layer thickness, displacement thickness, and momentum thickness is as follows:
- Boundary Layer Thickness: The boundary layer thickness is the distance from the boundary at which the velocity of the fluid is significantly affected by the presence of the boundary. It is denoted by *.
- Displacement Thickness: The displacement thickness is a measure of the thickness of the boundary layer and is defined as the distance by which the boundary would have to be moved to make the flow uniform and equal to the average flow outside the boundary layer. It is denoted by *.
- Momentum Thickness: The momentum thickness is a measure of the increase in mass flow rate due to the boundary layer and is defined as the distance by which the boundary would have to be moved to conserve momentum. It is denoted by *.
Therefore, the correct relationship is given by:
* > * > *
This relationship indicates that the boundary layer thickness is greater than the displacement thickness, which in turn is greater than the momentum thickness. It shows how these parameters are related to each other in the context of boundary layer analysis.
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Which one of the following is the correct relationship between the boundary layer thickness δ, displacement thickness δ* and the momentum thickness θ?a)δ >δ* > θb)δ*> θ > δc)θ >δ >δ*d)θ > δ*> δCorrect answer is option 'A'. Can you explain this answer?
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