๐ง Linde-Hampson Gas Liquefaction
Analyze the Linde-Hampson cycle for gas liquefaction using Joule-Thomson expansion with counter-flow heat exchange. Compute liquid yield, compressor work, COP, and figure of merit.
๐ Configuration
Key Equations:
y = (hโ โ hโ) / (hโ โ h_f) โ liquid yield
W_comp = RยทTยทln(Pโ/Pโ) / ฮทc
W_liq = W_comp / y
COP = h_fg / W_liq
ฮผ_JT = (1/c_p)(2a/RT โ b)
y = (hโ โ hโ) / (hโ โ h_f) โ liquid yield
W_comp = RยทTยทln(Pโ/Pโ) / ฮทc
W_liq = W_comp / y
COP = h_fg / W_liq
ฮผ_JT = (1/c_p)(2a/RT โ b)
๐ Results
Configure inputs and click Analyze to view results.
๐ Methodology
Linde-Hampson Cycle
The Linde cycle uses isothermal compression followed by JT expansion to liquefy gases. A counter-flow heat exchanger pre-cools the high-pressure stream using the cold returning gas, progressively lowering temperatures until liquefaction occurs.
Yield & Make-up
The liquid fraction y represents the fraction of compressed gas that is liquefied per pass. The unliquefied gas returns through the HX, and fresh make-up gas compensates for the liquid withdrawn. Higher pressure increases yield but also compressor work.
Limitations
- Requires Tin < Tinv for JT cooling.
- Hydrogen and helium need pre-cooling below their Tinv.
- Van der Waals model is approximate; more accurate EOS (Peng-Robinson, SRK) improve predictions.
- Real HX has finite effectiveness.