High-recycle ammonia loop (equation-oriented) — a PENG-ROBINSON process flowsheet
A tight, high-recycle ammonia synthesis loop built to show why a modern simulator solves recycles the way legacy sequential-modular tools can't. Fresh syngas (N₂ + 3H2, with argon inert) mixes with a large recycle, reacts to only ~10% per pass, chills so ammonia condenses out as product, and the unreacted gas recycles — a recycle-to-fresh ratio of ~5:1, with argon building up until a small purge balances it. Run this in Equation-Oriented mode (Solver menu > Mode > Equation-oriented). In the default sequential-modular mode the solver tears the recycle and iterates Wegstein ~78 times to close the loop; the equation-oriented solver instead makes every inter-unit stream a global unknown and closes all ~35 of them in one simultaneous Newton solve — the same simultaneous approach AVEVA SimCentral / gPROMS / IDAES use, and the reason tightly coupled recycles that crawl (or stall) in sequential-modular converge cleanly here.
Modeling assumptions & limitations
- 1The ammonia-formation Keq is illustrative (chosen for a realistic ~10% per-pass conversion and ~5:1 recycle), not a fitted plant value; both solver modes reach the same converged answer — the point is the path, not the result.
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- Rigorous PENG-ROBINSON thermodynamics, solved by the same engine every simulation runs on.
- 5 unit operations modeled: MIX, Reactor, Chill, SEP, Split.
- Focus areas: Recycle convergence, Equation-oriented, Ammonia, Haber-Bosch.
- Thermodynamics
- PENG-ROBINSON
- Components
- n2, h2, ammonia, argon
- Unit operations
- MIXReactorChillSEPSplit
Opens in a new tab, loaded straight into the app — no setup.
Read the step-by-step guideReproduce this exact result from Python — the real client.get_example() → run_and_wait() path, not a mockup.
from flowsim.sdk import FlowSimClient
client = FlowSimClient()
example = client.get_example("high-recycle-ammonia-eo")
sim = client.create_simulation(example["title"], example["flowsheet"])
result = client.run_and_wait(sim["id"])
print(result["status"]) # "converged"
streams = client.streams(sim["id"])Related models
Quench-converter ammonia synthesis loop
The multi-bed quench converter BASF first installed in 1942, which displaced the tube-cooled converters before it, running inside a complete 200 bar synthesis loop. Ammonia synthesis is equilibrium-limited and exothermic, so the catalyst wants to run hot for rate and cool for equilibrium, and no single adiabatic bed can do both. The quench converter's answer is mechanical: split the loop gas, send 55% through the interchanger into bed 1 and inject the other 45% as cold shots between the beds, so each bed heats up adiabatically and each quench pulls it back down. What it computes: the sawtooth, 673 → 766 K in bed 1, quenched to 689 K and out at 760 K, quenched to 712 K and out at 766 K; 12.5 mol% ammonia at the converter exit, in the 12-18% band real quench converters deliver, at 20.9% nitrogen conversion per pass; 44.6 mol/s of 97.8% liquid ammonia off the 250 K separator; and argon and methane held at 3.3% and 4.2% in the loop by a 3% purge, with the recycle closed by a Wegstein tear. The acid test is the counterfactual: one adiabatic bed producing that same 12.51 mol% ammonia exit ends at 834.7 K — 562 C, past the sintering limit of promoted-magnetite catalyst — while the three-bed quench converter delivers the identical duty with a 766 K (493 C) peak.
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