How to Calculate Surface Elevation in a Vortex?

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To calculate the rise in surface elevation of water in a vortex, one must consider the volume of the liquid and the dimensions of both the vortex and the container. The volume of the vortex can be determined using geometric equations, such as that for a cone. However, the relationship between the vortex volume and the liquid height is not straightforward and may not directly add to the existing liquid level. Accurate calculations would require specific measurements and formulas. Understanding these principles is essential for determining surface elevation in a vortex scenario.
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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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