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When a cylindrical vessel, containing some liquid, is rotated about its vertical axis, the liquid surface is depressed down at the axis of its rotation and rises up near the walls of the vessel on all sides. This type of flow is known as
  • a)
    steady flow
  • b)
    turbulent flow
  • c)
    vortex flow
  • d)
    uniform flow
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When a cylindrical vessel, containing some liquid, is rotated about it...
Explanation:

When a cylindrical vessel is rotated about its vertical axis, the liquid inside the vessel experiences a specific type of flow known as vortex flow. This flow pattern is characterized by the depression of the liquid surface down at the axis of rotation and the rise of the liquid near the walls of the vessel on all sides.

Reason for the Vortex Flow:

The vortex flow is a result of the centripetal force acting on the liquid as it rotates. When the vessel is rotated, the liquid particles experience a centrifugal force that pushes them away from the axis of rotation. As a result, the liquid surface is depressed down at the axis of rotation.

Effect of Centrifugal Force:

The centrifugal force acting on the liquid particles also causes them to move towards the walls of the vessel. This movement results in the rise of the liquid near the walls. The liquid particles near the walls experience a higher centrifugal force compared to the particles closer to the axis, causing them to move upwards.

Flow Pattern:

As a result of these forces, the liquid surface takes on a concave shape near the axis of rotation and a convex shape near the walls of the vessel. This flow pattern is known as vortex flow. The depression of the liquid surface at the axis and the rise near the walls create a vortex-like motion within the liquid.

Characteristics of Vortex Flow:

- The flow pattern is steady, meaning it remains constant as long as the vessel continues to rotate at a constant speed.
- The flow is characterized by the movement of liquid particles in a rotational manner, forming a vortex-like motion.
- This type of flow is commonly observed in centrifuges and other rotating equipment.

Conclusion:

In summary, when a cylindrical vessel is rotated about its vertical axis, the resulting flow pattern is known as vortex flow. The depression of the liquid surface at the axis of rotation and the rise near the walls of the vessel create a vortex-like motion within the liquid. This flow pattern is steady and commonly observed in rotating equipment.
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When a cylindrical vessel, containing some liquid, is rotated about it...
C
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When a cylindrical vessel, containing some liquid, is rotated about its vertical axis, the liquid surface is depressed down at the axis of its rotation and rises up near the walls of the vessel on all sides. This type of flow is known asa)steady flowb)turbulent flowc)vortex flowd)uniform flowCorrect answer is option 'C'. Can you explain this answer?
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