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In the region of the boundary layer nearest to the wall where velocityis not equal to zero, the viscous forces are:  
  • a)
    Of the same order of magnitude as the inertial forces
  • b)
    More than inertial forces
  • c)
    Less than inertial forces
  • d)
    Negligible
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the region of the boundary layer nearest to the wall where velocity...
Ans. (c) Reynold’s number = Inertia force / Viscous force and it is more than one therefore the viscous forces are less than  inertial forces.
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In the region of the boundary layer nearest to the wall where velocity...
The viscous forces in the region of the boundary layer nearest to the wall where velocity is not equal to zero are less than inertial forces.

Explanation:

The boundary layer is a thin layer of fluid that forms along a solid surface when a fluid flows over it. In this region, the velocity of the fluid is not equal to zero, and there is a gradient in velocity from the wall to the outer flow.

Viscous forces:
- Viscous forces are the forces that arise due to the internal friction within a fluid.
- In the boundary layer, these forces are responsible for the transfer of momentum and energy between the fluid layers.
- Viscous forces are proportional to the velocity gradient in the flow, meaning that they increase with increasing velocity gradient.
- The velocity gradient is highest at the wall and decreases as we move away from it.

Inertial forces:
- Inertial forces are the forces that arise due to the inertia of the fluid particles.
- These forces are proportional to the density of the fluid and the square of the velocity of the fluid.
- Inertial forces dominate in regions where the fluid velocity is high and the density is significant.

Comparison:
- In the region of the boundary layer nearest to the wall, the velocity is relatively low compared to the outer flow.
- As a result, the inertial forces in this region are relatively low.
- On the other hand, the velocity gradient is high near the wall, leading to significant viscous forces.
- However, as we move away from the wall, the velocity gradient decreases, and the viscous forces also decrease.
- Consequently, the viscous forces in the region of the boundary layer nearest to the wall are less than the inertial forces.

Therefore, the correct answer is option 'C': Less than inertial forces.
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