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The hydrodynamic boundary layer thickness is defined as the distance from the surface where the
- a)velocity equals to the local external velocity
- b)velocity equals the approach velocity
- c)momentum equals 99% of the momentum of the free stream
- d)velocity equals 99% of the local external velocity
Correct answer is option 'D'. Can you explain this answer?
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The hydrodynamic boundary layer thickness is defined as the distance f...
Hydrodynamic boundary layer thickness is defined as the distance measured in the y direction from boundary to the point where the velocity is 99% of the free stream velocity.
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The hydrodynamic boundary layer thickness is defined as the distance f...
The hydrodynamic boundary layer is a thin layer of fluid that forms near the surface of an object in a flow field. It is characterized by a gradual change in velocity and other fluid properties from the surface to the free stream. The thickness of this boundary layer is an important parameter in fluid dynamics and is defined as the distance from the surface where the velocity equals 99% of the local external velocity.
Explanation:
a) Velocity equals to the local external velocity:
This option is not correct because in the hydrodynamic boundary layer, the velocity gradually increases from zero at the surface to the velocity of the free stream. Therefore, the velocity at the boundary layer is not equal to the local external velocity.
b) Velocity equals the approach velocity:
This option is also not correct because the approach velocity refers to the velocity of the fluid approaching the surface. In the boundary layer, the velocity gradually increases from zero at the surface, so it does not equal the approach velocity.
c) Momentum equals 99% of the momentum of the free stream:
This option is not correct because the momentum of the fluid in the boundary layer does not equal 99% of the momentum of the free stream. The momentum of the fluid in the boundary layer is lower than that of the free stream due to viscous effects.
d) Velocity equals 99% of the local external velocity:
This option is the correct answer because the hydrodynamic boundary layer thickness is defined as the distance from the surface where the velocity equals 99% of the local external velocity. This means that at this distance from the surface, the velocity has reached 99% of the velocity of the free stream. This definition takes into account the gradual increase in velocity within the boundary layer and provides a measure of the thickness of this region.
In conclusion, the hydrodynamic boundary layer thickness is defined as the distance from the surface where the velocity equals 99% of the local external velocity. This definition captures the gradual change in velocity within the boundary layer and is an important parameter in fluid dynamics.
Explanation:
a) Velocity equals to the local external velocity:
This option is not correct because in the hydrodynamic boundary layer, the velocity gradually increases from zero at the surface to the velocity of the free stream. Therefore, the velocity at the boundary layer is not equal to the local external velocity.
b) Velocity equals the approach velocity:
This option is also not correct because the approach velocity refers to the velocity of the fluid approaching the surface. In the boundary layer, the velocity gradually increases from zero at the surface, so it does not equal the approach velocity.
c) Momentum equals 99% of the momentum of the free stream:
This option is not correct because the momentum of the fluid in the boundary layer does not equal 99% of the momentum of the free stream. The momentum of the fluid in the boundary layer is lower than that of the free stream due to viscous effects.
d) Velocity equals 99% of the local external velocity:
This option is the correct answer because the hydrodynamic boundary layer thickness is defined as the distance from the surface where the velocity equals 99% of the local external velocity. This means that at this distance from the surface, the velocity has reached 99% of the velocity of the free stream. This definition takes into account the gradual increase in velocity within the boundary layer and provides a measure of the thickness of this region.
In conclusion, the hydrodynamic boundary layer thickness is defined as the distance from the surface where the velocity equals 99% of the local external velocity. This definition captures the gradual change in velocity within the boundary layer and is an important parameter in fluid dynamics.
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The hydrodynamic boundary layer thickness is defined as the distance from the surface where thea)velocity equals to the local external velocityb)velocity equals the approach velocityc)momentum equals 99% of the momentum of the free streamd)velocity equals 99% of the local external velocityCorrect answer is option 'D'. Can you explain this answer?
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