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The boundary layer flow separates from the surface if
- a)du/dy = 0 and dp/dx = 0
- b)du/dy = 0 and dp/dx > 0
- c)du/dy = 0 and dp/dx < 0
- d)The boundary layer thickness is zero
Correct answer is option 'B'. Can you explain this answer?
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Boundary Layer Separation
Boundary layer separation is a phenomenon that occurs when the flow of fluid over a surface slows down to the point where it separates from the surface. This can happen when the surface is curved, when the flow is turbulent or when the pressure gradient is unfavorable.
Condition for Boundary Layer Separation
The condition for boundary layer separation can be determined by analyzing the velocity and pressure gradients in the fluid. The two main conditions that must be met for separation to occur are:
1. Zero Velocity Gradient
The velocity gradient in the fluid must be zero at the point of separation. This means that the rate of change of velocity with respect to the distance from the surface must be zero.
2. Adverse Pressure Gradient
An adverse pressure gradient must be present in the fluid. This means that the pressure must be increasing in the direction of flow, which opposes the motion of the fluid.
Option 'B' is the Correct Answer
Option 'B' is the correct answer because it satisfies both of these conditions. Specifically, du/dy = 0 indicates that the velocity gradient is zero, and dp/dx > 0 indicates that an adverse pressure gradient is present.
Therefore, when du/dy = 0 and dp/dx > 0, the boundary layer flow will separate from the surface.
Boundary layer separation is a phenomenon that occurs when the flow of fluid over a surface slows down to the point where it separates from the surface. This can happen when the surface is curved, when the flow is turbulent or when the pressure gradient is unfavorable.
Condition for Boundary Layer Separation
The condition for boundary layer separation can be determined by analyzing the velocity and pressure gradients in the fluid. The two main conditions that must be met for separation to occur are:
1. Zero Velocity Gradient
The velocity gradient in the fluid must be zero at the point of separation. This means that the rate of change of velocity with respect to the distance from the surface must be zero.
2. Adverse Pressure Gradient
An adverse pressure gradient must be present in the fluid. This means that the pressure must be increasing in the direction of flow, which opposes the motion of the fluid.
Option 'B' is the Correct Answer
Option 'B' is the correct answer because it satisfies both of these conditions. Specifically, du/dy = 0 indicates that the velocity gradient is zero, and dp/dx > 0 indicates that an adverse pressure gradient is present.
Therefore, when du/dy = 0 and dp/dx > 0, the boundary layer flow will separate from the surface.
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The boundary layer flow separates from the surface ifa)du/dy = 0 and dp/dx = 0b)du/dy = 0 and dp/dx > 0c)du/dy = 0 and dp/dx < 0d)The boundary layer thickness is zeroCorrect answer is option 'B'. Can you explain this answer?
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