How to Calculate Surface Elevation in a Vortex?

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SUMMARY

Calculating the rise in surface elevation of water in a vortex involves understanding the volume of the liquid, the dimensions of the vortex, and the container. The discussion suggests using the volume of a cone formula to derive the necessary calculations. While the exact equation was not provided, the relationship between the vortex volume and the liquid height in the container is emphasized. This approach requires a solid grasp of fluid dynamics principles.

PREREQUISITES
  • Fluid dynamics principles
  • Volume calculation of geometric shapes, specifically cones
  • Basic physics knowledge related to liquid behavior in containers
  • Mathematical skills for deriving equations
NEXT STEPS
  • Research the formula for the volume of a cone
  • Study fluid dynamics, focusing on vortex behavior
  • Explore the relationship between liquid volume and surface elevation
  • Learn about practical applications of vortex calculations in engineering
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Students and professionals in physics, engineering, and fluid dynamics who are interested in understanding vortex behavior and its effects on liquid surface elevation.

pdmDOG
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Is there a way to calculate the rise in surface elevation of water in a vortex from the middle to the outside?
 
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Not one 100% sure (been a while since i practise physics) but would say if you know the volumn of water (or what ever liquid), the dimensions of the vortex + its volumn (cant remember the equation for finding the volumn of a cone) and the dimensions of the container you could come up with an equation, doubt it would be a direct case of the vortex volum being added to the top of the current liquids hieght in the container but you get the idea, sorry i couldn't be more help, its late and I've been up all day can't be coming up with calculations for you.
 

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