[Luyben] Process Mod.. - Student subdomain for University of Bath

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82 MATHEMATICAL MODELS OF CHEMICAL ENGINEERING SYSTEMS Cooling water shoe?l 1 FIGURE P3.14 3.15. When cooling jackets and internal cooling coils do not give enough heat transfer area, a circulating cooling system is sometimes used. Process fluid from the reactor is pumped through an external heat exchanger and back into the reactor. Cooling water is added to the shell side of the heat exchanger at a rate F, as set by the temperature controller. The circulation rate through the heat exchanger is constant. Assume that the shell side of the exchanger can be represented by two perfectly mixed “lumps” in series and that the process fluid flows countercurrent to the water flow, also through two perfectly mixed stages. The reaction is irreversible and fist-order in reactant A: k A - B The contents of the tank are perfectly mixed. Neglect reactor and heat-exchanger metal. Derive a dynamic mathematical model of this system. CA T FIGURE P3.15
EXAMPLES OF MATHEMATICAL MODELS OF CHEMICAL ENGINEERING SYSTEMS 83 3.16. A semibatch reactor is run at constant temperature by varying the rate of addition of one of the reactants, A. The irreversible, exothermic reaction is first order in reactants A and B. k A + B - C The tank is initially filled to its 40 percent level with pure reactant B at a concentration CBO . Maximum cooling-water flow is begun, and reactant A is slowly added to the perfectly stirred vessel. Write the equations describing the system. Without solving the equations, try to sketch the profiles of. F, A, CA, and C, with time during the batch cycle. Cooling w water FIGURE P3.16 3.17. Develop a mathematical model for the three-column train of distillation columns sketched below. The feed to the first column is 400 kg * mol/h and contains four components (1, 2, 3, and 4), each at 25 mol %. Most of the lightest component is removed in the distillate of the first column, most of the next lightest in the second column distillate and the final column separates the final two heavy components. Assume constant relative volatilities throughout the system: ai, a2, and as. The condensers are total condensers and the reboilers are partial. Trays, column bases, and reflux drums are perfectly mixed. Distillate flow rates are set by reflux drum D3 F- B3 FIGURE P3.17
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I WILLIAM WIlllAM 1. LUYBEN PROCESS
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The Series Bailey and OUii: Biochem
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PROCESS MODELING, SIMULATION, AND C
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ABOUT THE AUTHOR William L. Luyben
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CONTENTS Preface Xxi 1 1.1 1.2 1.3
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CONTENTS .. . xlu 5.7 Batch Reactor
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CONTENTS xv 10.3 10.4 Performance S
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comwrs xvii 151.3 Transpose of a Ma
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CONTENTS Xix 20.4 Sampled-Data Cont
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. Xxii PREFACE Another significant
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PROCESS MODELING, SIMULATION, AND C
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2 PROCESS MODELING, SIMULATION. AND
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4 PROCESS MODELING, SIMULATION, AND
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6 PROCESS MODELING. SIMULATION, AND
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8 PROCESS MODELING, SIMULATION, AND
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10 PROCESS MODELING, SIMULATION, AN
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12 PROCESS MODELING, SIMULATION, AN
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CHAPTER 2 FUNDAMENTALS 2.1 INTRODUC
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FUNDAMENTALS 17 big, complex system
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FUNDAMENTALS 19 z=o I z + dz z=L FI
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FUNDAMENTALS 21 The minus sign come
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FUNDAMENTALS 23 Molar flow of A lea
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FUNDAMENTALS 25 For liquids the PP
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FUNDAMENTALS 27 Flow of energy (ent
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FUNDAMENTALS 29 The units of this f
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Page 115 and 116: 96 COMPUTER SIMULATION Clearly, the
Page 117 and 118: 98 COMPUTER SIMULATION TABLE 4.2 Ex
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ANALYSIS OF MULTNARIABLE SYSTEMS 57
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ANALYSIS OF MULTIVARIABLE SYSTEMS 5
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ANALYSIS OF MULTIYARIABLE SYSTEMS 5
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FIGURE 16.5 Multivariable INA (- 1,
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ANALYSIS OF MULTIYARIABLE SYSTEMS 5
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DESIGN OF CONTROLLERS FOR MULTIVARI
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DESIGN Ok CONTROLLERS FOR MULTIVARI
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