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The type of vortex for the flow of water in a wash basin, when it is being emptied through acentral opening , is called :-
- a)Forced vortex
- b)Rotational vortex
- c)Free vortex
- d)Rankine vortex
Correct answer is option 'C'. Can you explain this answer?
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The type of vortex for the flow of water in a wash basin, when it is b...
The correct answer is option 'C' - Free vortex.
Explanation:
A vortex is a swirling flow pattern characterized by a rotating motion around an axis. In the case of water flowing out of a wash basin through a central opening, the type of vortex formed is known as a free vortex.
Here is a detailed explanation of a free vortex:
1. Definition of a vortex:
- A vortex is a region in a fluid where the flow is mostly circular around a central axis line.
- It is formed due to the conservation of angular momentum in the fluid.
- The fluid particles rotate about their own axes while moving in a circular path.
2. Characteristics of a free vortex:
- In a free vortex, the fluid particles rotate about a central axis line without any external torque or force acting on them.
- The fluid particles closer to the axis rotate at a higher angular velocity than those farther away from the axis.
- The angular velocity decreases as the distance from the axis increases.
- The pressure at any point in a free vortex is directly proportional to the square of the distance from the axis.
3. Formation of a free vortex in a wash basin:
- When water is emptied from a wash basin through a central opening, it forms a swirling flow pattern.
- As the water flows out, it starts to rotate about a central axis due to the conservation of angular momentum.
- The fluid particles closer to the axis rotate faster, while those farther away rotate slower.
- The rotation creates a circular pattern, forming a free vortex.
4. Differences between free vortex and other types of vortices:
- Forced vortex: In a forced vortex, an external torque or force is applied to create the rotational motion. This is not the case in a wash basin scenario, so it is not a forced vortex.
- Rotational vortex: A rotational vortex is a general term for any rotating flow pattern. However, the specific type of vortex formed in a wash basin is a free vortex.
- Rankine vortex: A Rankine vortex refers to a vortex with constant angular velocity. In a wash basin, the angular velocity decreases with increasing distance from the axis, so it is not a Rankine vortex.
In conclusion, when water is emptied through a central opening in a wash basin, the flow forms a free vortex.
Explanation:
A vortex is a swirling flow pattern characterized by a rotating motion around an axis. In the case of water flowing out of a wash basin through a central opening, the type of vortex formed is known as a free vortex.
Here is a detailed explanation of a free vortex:
1. Definition of a vortex:
- A vortex is a region in a fluid where the flow is mostly circular around a central axis line.
- It is formed due to the conservation of angular momentum in the fluid.
- The fluid particles rotate about their own axes while moving in a circular path.
2. Characteristics of a free vortex:
- In a free vortex, the fluid particles rotate about a central axis line without any external torque or force acting on them.
- The fluid particles closer to the axis rotate at a higher angular velocity than those farther away from the axis.
- The angular velocity decreases as the distance from the axis increases.
- The pressure at any point in a free vortex is directly proportional to the square of the distance from the axis.
3. Formation of a free vortex in a wash basin:
- When water is emptied from a wash basin through a central opening, it forms a swirling flow pattern.
- As the water flows out, it starts to rotate about a central axis due to the conservation of angular momentum.
- The fluid particles closer to the axis rotate faster, while those farther away rotate slower.
- The rotation creates a circular pattern, forming a free vortex.
4. Differences between free vortex and other types of vortices:
- Forced vortex: In a forced vortex, an external torque or force is applied to create the rotational motion. This is not the case in a wash basin scenario, so it is not a forced vortex.
- Rotational vortex: A rotational vortex is a general term for any rotating flow pattern. However, the specific type of vortex formed in a wash basin is a free vortex.
- Rankine vortex: A Rankine vortex refers to a vortex with constant angular velocity. In a wash basin, the angular velocity decreases with increasing distance from the axis, so it is not a Rankine vortex.
In conclusion, when water is emptied through a central opening in a wash basin, the flow forms a free vortex.
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The type of vortex for the flow of water in a wash basin, when it is being emptied through acentral opening , is called :-a)Forced vortexb)Rotational vortexc)Free vortexd)Rankine vortexCorrect answer is option 'C'. Can you explain this answer?
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