Change in the height of a fluid vortex

In summary, the conversation discusses the concept of a vortex and the change in height of a fluid in a cylindrical container when it is rotated at a constant speed. The individual is seeking a formula that takes into account the viscosity of the fluid, but has been unable to find one. They request assistance and mention that there is a lot of information on the topic available.
  • #1
Rainbrew
3
0
I'm currently struggling slightly with finding some information regarding a vortex. If I have a fluid in a cylindrical container and the fluid is then rotated at a constant speed, the vortex will displace the water and raise it relative to the initial level of the fluid. Is there any formula describing this change in height taking into consideration the viscosity of the fluid? I've been digging for some time now and cannot find anything on this, I'd really appreciate some help. Thanks in advance!
 
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  • #2
There is a large amount of information available on this general subject . Just search on Vortex / Free Vortex / Forced Vortex ?

Here is a very basic introduction to the topic

Really though it is not too difficult to derive the necessary equations from first principles .
 
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What is a fluid vortex?

A fluid vortex is a swirling motion of a fluid, typically in a circular or spiral shape. This can be seen in natural occurrences such as tornadoes or whirlpools, or can be artificially created in a laboratory setting.

What factors affect the height of a fluid vortex?

The height of a fluid vortex is affected by several factors, including the speed and direction of the fluid flow, the viscosity of the fluid, and the shape and size of the container in which the vortex is formed.

How does the height of a fluid vortex change over time?

The height of a fluid vortex can change over time as the flow of the fluid may fluctuate, causing the vortex to grow or shrink. Additionally, external factors such as temperature or pressure changes can also impact the height of a fluid vortex.

What is the mathematical equation for calculating the height of a fluid vortex?

The height of a fluid vortex can be calculated using the equation h = (r * ω)/g, where h is height, r is the radius of the vortex, ω is the angular velocity, and g is the gravitational acceleration.

What are the practical applications of studying changes in the height of a fluid vortex?

Studying changes in the height of a fluid vortex can have various practical applications, such as in weather forecasting, understanding ocean currents, and designing more efficient fluid dynamics systems. It can also provide insight into the behavior of fluids in different environments and help improve our understanding of natural phenomena.

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