c28420-lecture7-2009

# c28420-lecture7-2009 - C28420 Lecture 7 Rigorous Steady...

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C28420: Lecture 7 Rigorous Steady State Simulation Models Textbook: Chapter 10 1

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Equilibrium-Based Methods for Multicomponent Absorption, tripping, Distillation and Extraction Sp p g , s o d c o In this lecture we will cover: Section 10.1: Theoretical Model for an Equilibrium Stage ection 0 eneral trategy f athematical olution Section 10.2: General Strategy of Mathematical Solution Section 10.3: Equation-Tearing Procedure. ridiagonal atrix lgorithm Tridiagonal Matrix Algorithm. Bubble-Point Method for Distillation. um- ates ethod r bsorption d tripping Sum Rates Method for Absorption and Stripping. Isothermal Sum-Rates Method for Liquid-Liquid Extraction. Section 10.4 Simultaneous correlation Procedures Algorithm for Naphtali-Sandholm (non-linear model) Section 10.5 Inside-Out Method. MESH equations. 2
Chapter 10: Equilibrium-Based Methods for Multicomponent Absorption, Stripping, Distillation and Extraction In the previous lectures we have considered graphical, empirical and approximate group methods for the solution of multistage separation problems involving equilibrium stages. These methods are appropriate for preliminary design studies and need verification through more rigorous models. Final design of multistage equipment for conducting multi- component separations requires rigorous determination of Temperatures , Pressures , Stream Flow rates , stream mpositions d eat ansfer tes ch age compositions and heat transfer rates in each stage. This determination is made by solving the material balance , ergy nthalpy) alance d uilibrium lation r ch energy (enthalpy) balance , and equilibrium relation for each stage. These relations are no-linear algebraic equations. This l cture vers the rincipal modelling i sues r lated t s ec u e cove s e pc p ode g ssues ee d o general equilibrium-based models for distillation & absorption. 3

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Theoretical Model for an Equilibrium Stage odel bjective Model Development Model Objective Develop a general model for a vapor-liquid or liquid-liquid parator taged lumn) perating eady ate separator (staged column) operating at steady state. odel ssumptions Model assumptions 1. Phase equilibrium is achieved in each stage. o emical actions ccur 2. No chemical reactions occur. 3. Entrainment of liquid drops in vapor and occlusion of vapor in quid e egligible liquid are negligible. 4. Vertical column with countercurrent flow ontinuous peration 5. Continuous operation 4
Theoretical Model for an Equilibrium Stage Model derivation Define system boundary yy Derive model equations Balance equations (mass, energy, . .) Constraint equations onstitutive equations Constitutive equations Analyze model equations Select solution strategy gy Solve model equations Provide data for known variables Initial estimate for unknown ariables Figure 10.1 General equilibrium stage (system boundary).

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c28420-lecture7-2009 - C28420 Lecture 7 Rigorous Steady...

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