Superfluid Helium Fountain Calculator

Quantum Hydrodynamics: Calculate London thermomechanical fountain pressure ($\Delta P_f$) and fountain liquid height ($\Delta h_f$) across He II porous plugs.

Superleak / Porous Plug Temperatures

Cold Bath Temp $T_{cold}$ (K):

Warm Side Temp $T_{warm}$ (K):

Porous Plug Pore Radius $r_p$ ($mu ext{m}$):

Porous Plug Cross Section $A_p$ ($ ext{cm}^2$):

Applied Heater Power $dot{Q}_{heater}$ (mW):

Thermomechanical Pressure & Head

Fountain Pressure

-- kPa

Liquid Column Head

-- m

Superfluid Fraction

-- %

Entropy of He II

-- J/kg·K

Superfluid Hydrodynamic Properties

• Lambda Transition Temperature ($T_\lambda$): 2.172 K (at saturated vapor pressure)

• Liquid Helium Density ($\rho$): 145 kg/m³

• Thermomechanical Coefficient ($dP/dT = \rho S$): -- kPa/K

• Mechanocaloric Mass Flow Rate: -- mg/s

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Superfluid Helium Fountain Calculator

Superleak / Porous Plug Temperatures

Thermomechanical Pressure & Head

Superfluid Hydrodynamic Properties

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