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

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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!