Sulfolane extractive distillation of aromatics

Extractive distillation recovering benzene and toluene from a stabilized reformate's C6-C7 non-aromatics (represented by methylcyclohexane) using sulfolane, after Figure 10.2/10.6 of T. Brouwer (PhD thesis, TU Twente, 2021). A vacuum solvent-recovery column then splits the aromatics from the sulfolane (reported as its own product rather than recycled). Both columns converge (ED 44 iterations, SR 98, residuals ~1e-5): methylcyclohexane leaves overhead at 91.3 mol%, the aromatics product carries no sulfolane at all (0.00000 mole fraction) at 95.2% recovery of the feed's benzene and toluene, and the recovery column returns sulfolane 99.96% pure at 490 K.

Both columns were originally mis-specified in the same way, and it is worth seeing once because the symptom looks like a thermodynamic failure rather than an arithmetic one. distillate_to_feed is a fraction of a column's TOTAL feed, and both were set above the amount of light key actually present, so each column was forced to drag its heavy key overhead to make up the flow. The ED asked for 0.15 of 140 mol/s = 21 mol/s of overhead when only 17.5 mol/s of non-aromatics exists, so 3.5 mol/s of aromatics had to come over — that was the 19.4% benzene lost to the raffinate. The recovery column asked for 0.42 of its bottoms against roughly a quarter of it being aromatics, so ~20 mol/s of solvent had to come over — that was the 42 mol% sulfolane in the product. Setting each to the light key's real share (0.125 and 0.265) removes both.

The property method is the whole story here, and it is why this example ran unconverged for a long time. Extractive distillation exists because of solvent selectivity, so a cubic with van der Waals mixing rules — Peng-Robinson as this was originally written — cannot represent the one effect the column depends on; it was being asked to converge on a model that did not contain the physics. A plain activity model cannot be used either: sulfolane boils at 558 K, so a reboiler hot enough to strip it drives benzene past its 562 K critical point, where a gamma-phi formulation has no answer at all. What the system needs is both at once, which is exactly what a Ge mixing rule provides — PSRK is a cubic (no supercritical ceiling) whose mixing is driven by UNIFAC (real selectivity). pr-mhv1 converges here too, in 47 iterations.

Honesty note, and these are trades rather than defects. Sending exactly the non-aromatic flow overhead means the ED's imperfect split leaves ~9% of the methylcyclohexane in the bottoms, where it reports to the aromatics product at 4.7 mol% — off-spec for a benzene product, and the lever that would clear it is a sharper ED (more reflux, or the higher solvent-to-feed ratio a real sulfolane unit runs). The solvent is still reported as its own product rather than recycled, so the loop is open and the makeup/purge balance a real unit turns on is not modelled. Reflux, not stages, is what the recovery column responds to here: 24 stages at reflux 2.0 still hits the iteration cap where 16 stages at 2.5 converges.