Change in the height of a fluid vortex

Click For Summary
SUMMARY

The discussion centers on the behavior of a fluid vortex in a cylindrical container when the fluid is rotated at a constant speed. It highlights the displacement of the fluid, resulting in a change in height relative to the initial level. The participant seeks a formula that incorporates the viscosity of the fluid to describe this height change. The conversation suggests that while there is abundant information on vortex dynamics, deriving the necessary equations from first principles is feasible.

PREREQUISITES
  • Understanding of fluid dynamics concepts, specifically vortex behavior.
  • Familiarity with the principles of rotational motion in fluids.
  • Knowledge of viscosity and its effects on fluid behavior.
  • Basic mathematical skills for deriving equations from first principles.
NEXT STEPS
  • Research the equations governing Free Vortex and Forced Vortex dynamics.
  • Study the Navier-Stokes equations to understand fluid viscosity effects.
  • Explore experimental methods for measuring fluid height changes in vortices.
  • Learn about computational fluid dynamics (CFD) simulations for vortex analysis.
USEFUL FOR

Fluid dynamics students, mechanical engineers, and researchers interested in vortex behavior and fluid mechanics applications.

Rainbrew
Messages
3
Reaction score
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!
 
Physics news on Phys.org
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 .
 
Last edited:

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 6 ·
Replies
6
Views
13K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 19 ·
Replies
19
Views
6K
  • · Replies 40 ·
2
Replies
40
Views
6K