How High Can a Helium Fountain at the Lambda Point Reach?

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To calculate the height a fountain of helium at the lambda point would shoot, one must consider factors such as the diameter and surface area of the tube, as well as the height of the tube itself. The behavior of superfluid helium, particularly its zero viscosity, plays a crucial role in its ability to flow against gravity. Additionally, the attractive forces between the superfluid and the solid surfaces contribute to its upward movement. Despite the complexity of the calculations, there is a significant interest in understanding the physics behind this phenomenon. Engaging with the principles of fluid dynamics and superfluidity is essential for accurate predictions.
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How would I go about calculating how high a fountain of Helium at the [lamb] point would shoot?

Is the height a function of diamater/surface area, and height of the tube?
 
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Do i have to figure this out myself?

Okay, I know it has something to do with the zero viscosity of a super fluid... and it must have an attractive forcre to solids which enables it to flow up the tube, because its not grabbing the air...[zz)]
 
Is everyone is afraid to attempt to answer this?
 
somebody?? anybody? c'mon, its been almost 2 years!
 

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