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The flow of water in a wash hand basin when it is being emptied through a central opening, is an example of
  • a)
    Free vortex
  • b)
    Forced vortex
  • c)
    Rotational vortex
  • d)
    Rankine vortex
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The flow of water in a wash hand basin when it is being emptied throug...
In a free vortex flow total mechanical energy remains constant. There is neither any energy interaction between an outside source and the flow, nor is there any dissipation of mechanical energy within the flow. The fluid rotates by virtue of some rotation previously imparted to it or because of some internal action.
Some examples are a whirlpool in a river, the rotatory flow that often arises in a shallow vessel when liquid flows out through a hole in the bottom (when water flows out from a bathtub or a wash basin), and flow in a centrifugal pump case just outside the impeller.
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The flow of water in a wash hand basin when it is being emptied throug...

Free Vortex:


A free vortex is a flow pattern in which fluid rotates around a central point without any external force or pressure. It is a type of rotational flow where the fluid particles rotate about an axis, forming a whirlpool-like motion. In the case of a wash hand basin being emptied through a central opening, the flow of water resembles a free vortex.




Explanation:


When the wash hand basin is being emptied, the water flows out through a central opening. As the water flows out, it starts to rotate around the central point due to the conservation of angular momentum. The rotation occurs because the water near the center has a smaller radius and therefore a smaller angular velocity, while the water near the edges has a larger radius and a larger angular velocity. This difference in velocity creates a rotational flow pattern, resembling a whirlpool.




Characteristics of a Free Vortex:



  • The velocity of fluid particles decreases as the distance from the center increases.


  • The pressure is lowest at the center of rotation and increases with the distance from the center.


  • The streamlines are concentric circles around the central point.


  • The flow is rotational, with no net translation of fluid.





Importance in Engineering:


Understanding the flow patterns in different scenarios, such as the free vortex in a wash hand basin, is crucial in engineering. It helps in designing efficient drainage systems, water treatment plants, and other fluid handling systems. By analyzing the flow characteristics, engineers can determine the velocity distribution, pressure changes, and other parameters that influence the performance and efficiency of the system. This knowledge is essential for optimizing the design and ensuring the proper functioning of various engineering applications.
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