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Oxygen Tank Evaporation Loss Formula and Calculator

Fluids Flow Design and Engineering
Heat Transfer Engineering

Evaporation Loss from an Oxygen Tank Formula and Calculator

Liquefied gases are sometimes stored in well-insulated spherical or cylindrical containers vented to the atmosphere. The math expression for the steady-state heat transfer rate through the walls of such a container, with the radii of the inner and outer walls being r, and r, respectively and the temperatures at the inner and outer walls being T₁ and T_o. The thermal conductivity of the insulation varies linearly with temperature from k_o at T_o to k₁, at T₁ .

Eq. 1
Q_o = 4 · π · r_o · r₁ · ( k_o + k₁ ) / 2 · ( ( T_o - T₁ ) / ( r₁ - r_o ) )

Where:

r_o = Inner radius (m)
r₁ = Outer radius (m)
T_o = Inner Layer Temperature (K)
T₁ = Outer Layer Temperature (K)
k_o = Thermal Conductivity of Outer Layer (W/m K)
k₁ = Thermal Conductivity of Inner Layer (W/m K)
Q_o = Flow Rate of Evaporation (g/s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 10, Page: 327.

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