Energy in a free vortex of water

In summary, the conversation discusses a project involving a gravitational vortex turbine and the need to determine the energy required to create a stable free vortex in a cylinder with specific dimensions. It is suggested to integrate the vortex velocity profile to estimate the power and kinetic energy, taking into consideration the mass term.
  • #1
pheonixrider
1
0
Hey guys,

I'm actually working on a project of gravitational vortex turbine at an undergrad level. I need to know the energy or the energy required to make a stable free vortex in a cylinder. The cylinder is of 1 m height and 1.5 m diameter. A channel of 0.5 m width is connected to the cylinder. The flow enters into the cylinder tangentially and leaves through an orifice at the bottom of 0.1 m diameter.

Any help would be appreciated.

Thanks.
 
  • #3
As a rough approximation if you have the vortex velocity profile you can integrate it to obtain the power and then estimate the kinetic energy. Recall P = dE/dt = F dot(v) = dv/dt dot(v). You can estimate the power per unit cross section if you take an imaginary slice parallel to the rotational axis.
 
  • #4
forgot the mass term, sorry
 

What is a free vortex of water?

A free vortex of water is a circular flow pattern that occurs when water is spinning around a central axis without any external forces acting on it. It is also known as a whirlpool or a whirl.

How does energy behave in a free vortex of water?

In a free vortex of water, energy is conserved and is distributed evenly throughout the vortex. This means that the speed of the water decreases as it moves towards the center of the vortex and increases as it moves away from the center.

What factors affect the energy in a free vortex of water?

The main factors that affect the energy in a free vortex of water are the initial velocity of the water, the size and shape of the vortex, and the viscosity of the water. These factors determine the strength and stability of the vortex.

Can energy be extracted from a free vortex of water?

Yes, energy can be extracted from a free vortex of water through the use of turbines. As the water flows through the turbine, the rotational energy of the vortex is converted into mechanical energy, which can then be used to generate electricity.

What are some real-world applications of free vortex of water?

Free vortices of water have many practical applications such as in hydroelectric power plants, where they are used to generate electricity. They are also used in wastewater treatment plants to create aeration and mixing, and in swimming pools to create a circular flow pattern that helps to clean the water.

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