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Research Update

Research Update. Daniel Beneke LPPD Seminar 10/28/2009. Layout . Semester Plan Rectification Body Method Uses and Limitations Imaginary topology for real columns Non-Ideal and Higher order systems. Semester plan. Literature review of current separation system design (RBM & Topology)

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Research Update

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  1. Research Update Daniel Beneke LPPD Seminar 10/28/2009

  2. Layout • Semester Plan • Rectification Body Method • Uses and Limitations • Imaginary topology for real columns • Non-Ideal and Higher order systems

  3. Semester plan • Literature review of current separation system design (RBM & Topology) • Thermodynamics of processes • Assisting in Complex Column Design (CPM topology) • Identification and implementation of a Zeotropic distillation problem • Identification and implementation of an Azeotropic distillation problem

  4. Rectification Body Method Acetone/ Benzene/Chloroform 1 0.9 0.8 0.7 0.6 Benzene 0.5 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acetone

  5. Rectification Body Method Acetone/ Benzene/Chloroform 1 0.9 Distillate Pinch 0.8 0.7 0.6 Benzene 0.5 0.4 Bottoms Pinch 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acetone RBM shows intersection, but profiles don’t intersect!

  6. Rectification Body MethodUses • No integration is required – only pinch equations • Quick tool to ESTIMATE minimum reflux • Useful for ESTIMATING product feasibility

  7. Rectification Body MethodLimitations • Major assumptions are linear faces of RBM’s • Accuracy of method decreases considerably with non-ideal mixtures • Estimated Mininum Reflux is inaccurate • Cannot be used as a feasibility test

  8. Topological analysis of CPMs • Pinch Points occur at F=0 • Lyapunov’s theorem is used to determine the nature of Pinch Points • Lyapunov’s theorem: Signs of the eigenvalues (λ) of Jacobian(F) determine nature of nodes

  9. Topological analysis of CPMs • λ1& λ2>0 → Unstable Node • λ1& λ2<0 → Stable Node • λ1>0 & λ2<0 → Saddle Point • Hybrid Nodes form when λ1,2=0 • λ1,2 =a±ib, and a>0 → Stable Focus • λ1,2 =a±ib, and a<0 → Unstable Focus • λ1,2 =a±ib, and a=0 → Midpoint

  10. Topological analysis of CPMs 1.5 Xd =1.15 0.25 Rd =2.5 red X = stable node 1 1.5 Xd =1.15 0.25 Rd =2.4 x2 0.5 blue v = stable focus 1 0 x2 0.5 red sq = saddle point red O = unstable node -0.5 -0.5 0 0.5 1 1.5 x1 0 -0.5 -0.5 0 0.5 1 1.5 x1

  11. Topological analysis of CPMs 1.5 Xd =1.2309 -0.4152 Rd =2.4 1.5 1 Xd =1.2695 -0.4958 Rd =2.4 1 x2 0.5 x2 0.5 0 blue = unstable focus 0 -0.5 -0.5 0 0.5 1 1.5 x1 Even though we have complex roots, profiles are still legitimate -0.5 -0.5 0 0.5 1 1.5 x1

  12. Topological analysis of CPMs 1.5 Xd =1.1556 -0.086 Rd =0.5761 1 x2 0.5 0 -0.5 -0.5 0 0.5 1 1.5 x1

  13. Topological analysis of CPMs Xd =0.9441 -0.013 Rd =0.47489 1.4 1.2 1 0.8 0.6 x2 0.4 Hybrid stable/saddle 0.2 0 unstable node -0.2 -0.4 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 x1

  14. Topological analysis of CPMs Acetone/Benzene/ Chloroform 1 0.8 0.6 0.4 Benzene 0.2 0 -0.2 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 Acetone

  15. 1 0.8 0.6 0.4 0.2 0 0 0.2 0 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 x2 Quaternary complex columns x3 x1

  16. Quaternary complex columns

  17. Zeotropic problem 1 Benzene/Toluene/Phenol 0.9 0.8 Hydrogen-bonds in Phenol + Hydrocarbons cause non-idealities 0.7 0.6 Phenol 0.5 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Benzene

  18. Azeotropic problem Acetone/Methanol/Water • A/M Azeotrope is a well-studied problem in azeotropic distillation • Water used to as extractive agent to separate A/M azeotrope 1 0.9 0.8 0.7 0.6 Water 0.5 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acetone

  19. Implementation • For Temperature Collocation & needs to be known • Code has been written for easy implementation to existing code

  20. Future work • Review Thermodynamics of processes • Learn GAMS for solving non-linear equations • Continual Distillation Review • Assist in rigorous Complex Column Design • Implementation of Zeotropic code • General user interface Matlab code for producing CPMs

  21. 1.5 1 x2 0.5 0 -0.5 -0.5 0 0.5 1 1.5 x1 Topological analysis of CPMs Rd =2.4 stable focus unstable focus stable node unstable node saddle point

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