A real closed-loop habitat's Water Recovery System does not just boil wastewater — that would spend roughly 2260 kJ per kilogram of water evaporated (its latent heat). Instead a Vapor Compression Distillation (VCD) drum spins the wastewater into a thin liquid film against its wall using centrifugal force (needed because there is no buoyancy-driven boiling in microgravity), boils it under vacuum at low temperature, then mechanically re-compresses the vapor and condenses it against the still-boiling liquid — reusing almost all of that latent heat as the actual boiler heat source.
Boiling point at pressure P (Clausius–Clapeyron):
1/T(P) = 1/T_ref − (R / L)·ln(P / P_ref)
T_ref = 373.15 K, P_ref = 101.325 kPa, L = 2260 kJ/kg, R = 0.4615 kJ/(kg·K)
Specific energy (compressor + vacuum pump only, latent heat is recycled):
E = c_p,vapor · ΔT_transfer / η_comp + k_vac · ln(P_ref / P)
Concentration factor & recovery:
CF = feed processed / brine remaining
recovery R = 1 − 1/CF (bounded by the CF limit before scaling risk forces a canister purge)
- Feed rate — how fast wastewater (urine + humidity condensate) enters the drum; sets how quickly particles move through the loop.
- Drum speed — the RPM of the centrifuge. Real ISS-style units need roughly 2–3 g at the drum wall for the liquid film to separate cleanly from the vapor; drop below that and liquid gets entrained into the vapor stream, degrading recovery and product quality.
- Cabin/boiler pressure — a deeper vacuum lowers the boiling point (Clausius–Clapeyron above) but costs more vacuum-pump energy, so specific energy is a trade-off, not monotonic in one direction.
- Max concentration factor — how far the brine is allowed to concentrate before mineral scaling risks clogging the drum; hit the limit and the canister purges, resetting the concentrate.
Real hardware (ISS's UPA/WPA and the newer Brine Processor Assembly) pushes overall water recovery from wastewater into the high-80s to mid-90s percent — this model uses the same governing relationships at a simplified, visually-legible scale.