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The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increases, the boundary layer thickness
- a)increases
- b)decreases
- c)initially increases and then decreases
- d)initially decreases and then increases
Correct answer is option 'A'. Can you explain this answer?
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The thickness of laminar boundary layer over a flat plate varies along...
Laminar boundary layer over a flat plate
The boundary layer is defined as the layer of fluid in the immediate vicinity of a solid boundary where the effects of viscosity are significant. Boundary layers can be classified into two types: laminar and turbulent.
Laminar boundary layer is the boundary layer that occurs when the fluid flow is smooth and orderly, with layers of fluid flowing parallel to each other. It is characterized by low energy dissipation, low fluid mixing, and small skin friction.
Thickness of laminar boundary layer
The thickness of the laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. The thickness of the boundary layer is given by the formula:
δ(x) = 5x/√(Re_x)
where δ is the boundary layer thickness, x is the distance from the leading edge of the plate, and Re_x is the Reynolds number at the distance x.
As the distance increases, the boundary layer thickness increases. This is because the fluid particles near the plate experience frictional drag, which slows them down. As a result, the fluid near the plate slows down more than the fluid away from the plate, causing the velocity gradient to increase. This in turn causes the boundary layer thickness to increase.
The increase in boundary layer thickness is not linear, but rather follows a square root relationship with the distance from the leading edge. This means that the boundary layer thickness increases rapidly at first, but then begins to level off as the distance from the leading edge increases.
Conclusion
Therefore, the correct option is A, which states that the thickness of the laminar boundary layer over a flat plate increases along the distance from the leading edge of the plate.
The boundary layer is defined as the layer of fluid in the immediate vicinity of a solid boundary where the effects of viscosity are significant. Boundary layers can be classified into two types: laminar and turbulent.
Laminar boundary layer is the boundary layer that occurs when the fluid flow is smooth and orderly, with layers of fluid flowing parallel to each other. It is characterized by low energy dissipation, low fluid mixing, and small skin friction.
Thickness of laminar boundary layer
The thickness of the laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. The thickness of the boundary layer is given by the formula:
δ(x) = 5x/√(Re_x)
where δ is the boundary layer thickness, x is the distance from the leading edge of the plate, and Re_x is the Reynolds number at the distance x.
As the distance increases, the boundary layer thickness increases. This is because the fluid particles near the plate experience frictional drag, which slows them down. As a result, the fluid near the plate slows down more than the fluid away from the plate, causing the velocity gradient to increase. This in turn causes the boundary layer thickness to increase.
The increase in boundary layer thickness is not linear, but rather follows a square root relationship with the distance from the leading edge. This means that the boundary layer thickness increases rapidly at first, but then begins to level off as the distance from the leading edge increases.
Conclusion
Therefore, the correct option is A, which states that the thickness of the laminar boundary layer over a flat plate increases along the distance from the leading edge of the plate.
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The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increases, the boundary layer thickness a)increases b)decreases c)initially increases and then decreasesd)initially decreases and then increasesCorrect answer is option 'A'. Can you explain this answer?
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