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Thermodynamic Geometry 2. Peter Salamon Udine Advanced School October 2005. Distillation -- an application. Distillation. Sequence of K-stages Min Exergy cost implies constant distance stages Stages need heat input diabatic column. D, X D. D, X D. Q D. Q D. V 1. V 1. V 2. V 2.
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Thermodynamic Geometry 2 Peter Salamon Udine Advanced School October 2005
Distillation • Sequence of K-stages • Min Exergy cost implies constant distance stages • Stages need heat input • diabatic column
D, XD D, XD QD QD V1 V1 V2 V2 L1 L1 Additional Heat Sinks And Heat Sources V3 V3 L2 L2 V4 V4 F, Xf F, Xf L3 L3 V5 V5 L4 L4 V6 V6 L5 L5 V7 V7 L6 L6 L7 L7 QB QB B, XB B, XB AdiabaticDiabatic
A False Stumbling Block • Only a semi-metric • Scaling directions have zero length • Change of phase has zero length
Constant distance means that we should choose each Ti such that
Vi+1 coexistence Li Can construct these heat capacities Heat capacity of
Heat capacity that turns distillation problem into a coffee cup problem
Economic Realities Investment $ vs. Operating $ More trays. Smaller reboiler More heat exchangers. Smaller condenser Same total area More(?) heat pumps There exist clever heat pumps Saves 75% of the exergy cost ca. 200% of the capital cost Political realities: Installation is gathering dust, within $200K of finished after $3M invested. Ricardo Rivero had a physical breakdown over it.