{"product_id":"process-modeling-and-simulation-for-chemical-engineers-9781118914687","title":"Process Modeling and Simulation for Chemical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides a rigorous treatment of the fundamental concepts and techniques involved in process modeling and simulation.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eNotation xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 System 1\u003c\/p\u003e \u003cp\u003e1.1.1 Uniform System 2\u003c\/p\u003e \u003cp\u003e1.1.2 Properties of System 2\u003c\/p\u003e \u003cp\u003e1.1.3 Classification of System 3\u003c\/p\u003e \u003cp\u003e1.1.4 Model 3\u003c\/p\u003e \u003cp\u003e1.2 Process 3\u003c\/p\u003e \u003cp\u003e1.2.1 Classification of Processes 4\u003c\/p\u003e \u003cp\u003e1.2.2 Process Model 5\u003c\/p\u003e \u003cp\u003e1.3 Process Modeling 6\u003c\/p\u003e \u003cp\u003e1.3.1 Relations 7\u003c\/p\u003e \u003cp\u003e1.3.2 Assumptions 7\u003c\/p\u003e \u003cp\u003e1.3.3 Variables and Parameters 8\u003c\/p\u003e \u003cp\u003e1.4 Process Simulation 9\u003c\/p\u003e \u003cp\u003e1.4.1 Utility 9\u003c\/p\u003e \u003cp\u003e1.4.2 Simulation Methods 10\u003c\/p\u003e \u003cp\u003e1.5 Development of Process Model 11\u003c\/p\u003e \u003cp\u003e1.6 Learning about Process 13\u003c\/p\u003e \u003cp\u003e1.7 System Specification 14\u003c\/p\u003e \u003cp\u003eBibliography 16\u003c\/p\u003e \u003cp\u003eExercises 16\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Fundamental Relations 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Basic Form 17\u003c\/p\u003e \u003cp\u003e2.1.1 Application 19\u003c\/p\u003e \u003cp\u003e2.2 Mass Balance 21\u003c\/p\u003e \u003cp\u003e2.2.1 Microscopic Balances 21\u003c\/p\u003e \u003cp\u003e2.2.2 Equation of Change for Mass Fraction 23\u003c\/p\u003e \u003cp\u003e2.3 Mole Balance 24\u003c\/p\u003e \u003cp\u003e2.3.1 Microscopic Balances 24\u003c\/p\u003e \u003cp\u003e2.3.2 Equation of Change for Mole Fraction 25\u003c\/p\u003e \u003cp\u003e2.4 Momentum Balance 26\u003c\/p\u003e \u003cp\u003e2.4.1 Convective Momentum Flux 27\u003c\/p\u003e \u003cp\u003e2.4.2 Total Momentum Flux 28\u003c\/p\u003e \u003cp\u003e2.4.3 Macroscopic Balance 29\u003c\/p\u003e \u003cp\u003e2.4.4 Microscopic Balance 31\u003c\/p\u003e \u003cp\u003e2.5 Energy Balance 33\u003c\/p\u003e \u003cp\u003e2.5.1 Microscopic Balance 33\u003c\/p\u003e \u003cp\u003e2.5.2 Macroscopic Balance 35\u003c\/p\u003e \u003cp\u003e2.6 Equation of Change for Kinetic and Potential Energy 38\u003c\/p\u003e \u003cp\u003e2.6.1 Microscopic Equation 38\u003c\/p\u003e \u003cp\u003e2.6.2 Macroscopic Equation 40\u003c\/p\u003e \u003cp\u003e2.7 Equation of Change for Temperature 41\u003c\/p\u003e \u003cp\u003e2.7.1 Microscopic Equation 41\u003c\/p\u003e \u003cp\u003e2.7.2 Macroscopic Equation 42\u003c\/p\u003e \u003cp\u003e2.A Enthalpy Change from Thermodynamics 44\u003c\/p\u003e \u003cp\u003e2.B Divergence Theorem 48\u003c\/p\u003e \u003cp\u003e2.C General Transport Theorem 50\u003c\/p\u003e \u003cp\u003e2.D Equations in Cartesian, Cylindrical and Spherical Coordinate Systems 53\u003c\/p\u003e \u003cp\u003e2.D.1 Equations of Continuity 54\u003c\/p\u003e \u003cp\u003e2.D.2 Equations of Continuity for Individual Species 54\u003c\/p\u003e \u003cp\u003e2.D.3 Equations of Motion 55\u003c\/p\u003e \u003cp\u003e2.D.4 Equations of Change for Temperature 56\u003c\/p\u003e \u003cp\u003eBibliography 57\u003c\/p\u003e \u003cp\u003eExercises 57\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Constitutive Relations 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Diffusion 59\u003c\/p\u003e \u003cp\u003e3.1.1 Multicomponent Mixtures 60\u003c\/p\u003e \u003cp\u003e3.2 Viscous Motion 60\u003c\/p\u003e \u003cp\u003e3.2.1 Newtonian Fluids 61\u003c\/p\u003e \u003cp\u003e3.2.2 Non-Newtonian Fluids 62\u003c\/p\u003e \u003cp\u003e3.3 Thermal Conduction 63\u003c\/p\u003e \u003cp\u003e3.4 Chemical Reaction 63\u003c\/p\u003e \u003cp\u003e3.5 Rate of Reaction 65\u003c\/p\u003e \u003cp\u003e3.5.1 Equations of Change for Moles 66\u003c\/p\u003e \u003cp\u003e3.5.2 Equations of Change for Temperature 67\u003c\/p\u003e \u003cp\u003e3.5.3 Macroscopic Equation of Change for Temperature 69\u003c\/p\u003e \u003cp\u003e3.6 Interphase Transfer 71\u003c\/p\u003e \u003cp\u003e3.7 Thermodynamic Relations 72\u003c\/p\u003e \u003cp\u003e3.A Equations in Cartesian, Cylindrical and Spherical Coordinate Systems 74\u003c\/p\u003e \u003cp\u003e3.A.1 Equations of Continuity for Binary Systems 74\u003c\/p\u003e \u003cp\u003e3.A.2 Equations of Motion for Newtonian Fluids 75\u003c\/p\u003e \u003cp\u003e3.A.3 Equations of Change for Temperature 76\u003c\/p\u003e \u003cp\u003eReferences 77\u003c\/p\u003e \u003cp\u003eBibliography 77\u003c\/p\u003e \u003cp\u003eExercises 78\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Model Formulation 79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Lumped-Parameter Systems 80\u003c\/p\u003e \u003cp\u003e4.1.1 Isothermal CSTR 80\u003c\/p\u003e \u003cp\u003e4.1.2 Flow through Eccentric Reducer 83\u003c\/p\u003e \u003cp\u003e4.1.3 Liquid Preheater 84\u003c\/p\u003e \u003cp\u003e4.1.4 Non-Isothermal CSTR 87\u003c\/p\u003e \u003cp\u003e4.2 Distributed-Parameter Systems 90\u003c\/p\u003e \u003cp\u003e4.2.1 Nicotine Patch 90\u003c\/p\u003e \u003cp\u003e4.2.2 Fluid Flow between Inclined Parallel Plates 93\u003c\/p\u003e \u003cp\u003e4.2.3 Tapered Fin 96\u003c\/p\u003e \u003cp\u003e4.2.4 Continuous Microchannel Reactor 99\u003c\/p\u003e \u003cp\u003e4.2.5 Oxygen Transport to Tissues 103\u003c\/p\u003e \u003cp\u003e4.2.6 Dermal Heat Transfer in Cylindrical Limb 106\u003c\/p\u003e \u003cp\u003e4.2.7 Solvent Induced Heavy Oil Recovery 108\u003c\/p\u003e \u003cp\u003e4.2.8 Hydrogel Tablet 112\u003c\/p\u003e \u003cp\u003e4.2.9 Neutron Diffusion 117\u003c\/p\u003e \u003cp\u003e4.2.10 Horton Sphere 119\u003c\/p\u003e \u003cp\u003e4.2.11 Reactions around Solid Reactant 122\u003c\/p\u003e \u003cp\u003e4.3 Fluxes along Non-Linear Directions 127\u003c\/p\u003e \u003cp\u003e4.3.1 Saccadic Movement of an Eye 128\u003c\/p\u003e \u003cp\u003e4.A Initial and Boundary Conditions 131\u003c\/p\u003e \u003cp\u003e4.A.1 Initial Condition 131\u003c\/p\u003e \u003cp\u003e4.A.2 Boundary Condition 131\u003c\/p\u003e \u003cp\u003e4.A.3 Periodic Condition 132\u003c\/p\u003e \u003cp\u003e4.B Zero Derivative at the Point of Symmetry 133\u003c\/p\u003e \u003cp\u003e4.C Equation of Motion along the Radial Direction in Cylindrical Coordinates 134\u003c\/p\u003e \u003cp\u003eReferences 137\u003c\/p\u003e \u003cp\u003eExercises 137\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Model Transformation 139\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Transformation between Orthogonal Coordinate Systems 139\u003c\/p\u003e \u003cp\u003e5.1.1 Scale Factors 139\u003c\/p\u003e \u003cp\u003e5.1.2 Differential Elements 142\u003c\/p\u003e \u003cp\u003e5.1.3 Vector Representation 143\u003c\/p\u003e \u003cp\u003e5.1.4 Derivatives of Unit Vectors 144\u003c\/p\u003e \u003cp\u003e5.1.5 Differential Operators 146\u003c\/p\u003e \u003cp\u003e5.2 Transformation between Arbitrary Coordinate Systems 155\u003c\/p\u003e \u003cp\u003e5.2.1 Transformation of Velocity 155\u003c\/p\u003e \u003cp\u003e5.2.2 Transformation of Spatial Derivatives 156\u003c\/p\u003e \u003cp\u003e5.2.3 Correctness of Transformation Matrices 156\u003c\/p\u003e \u003cp\u003e5.3 Laplace Transformation 161\u003c\/p\u003e \u003cp\u003e5.3.1 Examples 162\u003c\/p\u003e \u003cp\u003e5.3.2 Properties of Laplace Transforms 164\u003c\/p\u003e \u003cp\u003e5.3.3 Solution of Linear Differential Equations 168\u003c\/p\u003e \u003cp\u003e5.4 Miscellaneous Transformations 178\u003c\/p\u003e \u003cp\u003e5.4.1 Higher Order Derivatives 178\u003c\/p\u003e \u003cp\u003e5.4.2 Scaling 178\u003c\/p\u003e \u003cp\u003e5.4.3 Change of Independent Variable 179\u003c\/p\u003e \u003cp\u003e5.4.4 Semi-Infinite Domain 179\u003c\/p\u003e \u003cp\u003e5.4.5 Non-Autonomous to Autonomous Differential Equation 180\u003c\/p\u003e \u003cp\u003e5.A Differential Operators in an Orthogonal Coordinate System 180\u003c\/p\u003e \u003cp\u003e5.A.1 Gradient of a Scalar 180\u003c\/p\u003e \u003cp\u003e5.A.2 Divergence of a Vector 181\u003c\/p\u003e \u003cp\u003e5.A.3 Laplacian of a Scalar 184\u003c\/p\u003e \u003cp\u003e5.A.4 Curl of a Vector 184\u003c\/p\u003e \u003cp\u003eReferences 186\u003c\/p\u003e \u003cp\u003eBibliography 186\u003c\/p\u003e \u003cp\u003eExercises 186\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Model Simplification and Approximation 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Model Simplification 189\u003c\/p\u003e \u003cp\u003e6.1.1 Scaling and Ordering Analysis 190\u003c\/p\u003e \u003cp\u003e6.1.2 Linearization 193\u003c\/p\u003e \u003cp\u003e6.2 Model Approximation 200\u003c\/p\u003e \u003cp\u003e6.2.1 Dimensional Analysis 201\u003c\/p\u003e \u003cp\u003e6.2.2 Model Fitting 204\u003c\/p\u003e \u003cp\u003e6.A Linear Function 220\u003c\/p\u003e \u003cp\u003e6.B Proof of Buckingham Pi Theorem 221\u003c\/p\u003e \u003cp\u003e6.C Newton's Optimization Method 223\u003c\/p\u003e \u003cp\u003eReferences 224\u003c\/p\u003e \u003cp\u003eBibliography 224\u003c\/p\u003e \u003cp\u003eExercises 225\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Process Simulation 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Algebraic Equations 227\u003c\/p\u003e \u003cp\u003e7.1.1 Linear Algebraic Equations 227\u003c\/p\u003e \u003cp\u003e7.1.2 Non-Linear Algebraic Equations 236\u003c\/p\u003e \u003cp\u003e7.2 Differential Equations 241\u003c\/p\u003e \u003cp\u003e7.2.1 Ordinary Differential Equations 242\u003c\/p\u003e \u003cp\u003e7.2.2 Explicit Runge–Kutta Methods 242\u003c\/p\u003e \u003cp\u003e7.2.3 Step-Size Control 246\u003c\/p\u003e \u003cp\u003e7.2.4 Stiff Equations 247\u003c\/p\u003e \u003cp\u003e7.3 Partial Differential Equations 253\u003c\/p\u003e \u003cp\u003e7.3.1 Finite Difference Method 255\u003c\/p\u003e \u003cp\u003e7.4 Differential Equations with Split Boundaries 263\u003c\/p\u003e \u003cp\u003e7.4.1 Shooting Newton–Raphson Method 264\u003c\/p\u003e \u003cp\u003e7.5 Periodic Differential Equations 268\u003c\/p\u003e \u003cp\u003e7.5.1 Shooting Newton–Raphson Method 268\u003c\/p\u003e \u003cp\u003e7.6 Programming of Derivatives 271\u003c\/p\u003e \u003cp\u003e7.7 Miscellanea 274\u003c\/p\u003e \u003cp\u003e7.7.1 Integration of Discrete Data 274\u003c\/p\u003e \u003cp\u003e7.7.2 Roots of a Single Algebraic Equation 276\u003c\/p\u003e \u003cp\u003e7.7.3 Cubic Equations 278\u003c\/p\u003e \u003cp\u003e7.A Partial Pivoting for Matrix Inverse 281\u003c\/p\u003e \u003cp\u003e7.B Derivation of Newton–Raphson Method 281\u003c\/p\u003e \u003cp\u003e7.B.1 Quadratic Convergence 282\u003c\/p\u003e \u003cp\u003e7.C General Derivation of Finite Difference Formulas 284\u003c\/p\u003e \u003cp\u003e7.C.1 First Derivative, Centered Second Order Formula 285\u003c\/p\u003e \u003cp\u003e7.C.2 Second Derivative, Forward Second Order Formula 286\u003c\/p\u003e \u003cp\u003e7.C.3 Third Derivative, Mixed Fourth Order Formula 287\u003c\/p\u003e \u003cp\u003e7.C.4 Common Finite Difference Formulas 289\u003c\/p\u003e \u003cp\u003eReferences 291\u003c\/p\u003e \u003cp\u003eBibliography 291\u003c\/p\u003e \u003cp\u003eExercises 291\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Mathematical Review 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Order of Magnitude 295\u003c\/p\u003e \u003cp\u003e8.2 Big-O Notation 295\u003c\/p\u003e \u003cp\u003e8.3 Analytical Function 295\u003c\/p\u003e \u003cp\u003e8.4 Vectors 296\u003c\/p\u003e \u003cp\u003e8.4.1 Vector Operations 297\u003c\/p\u003e \u003cp\u003e8.4.2 Cauchy–Schwarz Inequality 302\u003c\/p\u003e \u003cp\u003e8.5 Matrices 302\u003c\/p\u003e \u003cp\u003e8.5.1 Terminology 303\u003c\/p\u003e \u003cp\u003e8.5.2 Matrix Operations 304\u003c\/p\u003e \u003cp\u003e8.5.3 Operator Inequality 305\u003c\/p\u003e \u003cp\u003e8.6 Tensors 306\u003c\/p\u003e \u003cp\u003e8.6.1 Multilinearity 306\u003c\/p\u003e \u003cp\u003e8.6.2 Coordinate-Independence 306\u003c\/p\u003e \u003cp\u003e8.6.3 Representation of Second Order Tensor 307\u003c\/p\u003e \u003cp\u003e8.6.4 Einstein or Index Notation 308\u003c\/p\u003e \u003cp\u003e8.6.5 Kronecker Delta 310\u003c\/p\u003e \u003cp\u003e8.6.6 Operations Involving Vectors and Second Order Tensors 310\u003c\/p\u003e \u003cp\u003e8.7 Differential 318\u003c\/p\u003e \u003cp\u003e8.7.1 Derivative 318\u003c\/p\u003e \u003cp\u003e8.7.2 Partial Derivative and Differential 318\u003c\/p\u003e \u003cp\u003e8.7.3 Chain Rule of Differentiation 319\u003c\/p\u003e \u003cp\u003e8.7.4 Material and Total Derivatives 321\u003c\/p\u003e \u003cp\u003e8.8 Taylor Series 322\u003c\/p\u003e \u003cp\u003e8.8.1 Multivariable Taylor Series 323\u003c\/p\u003e \u003cp\u003e8.8.2 First Order Taylor Expansion 323\u003c\/p\u003e \u003cp\u003e8.9 L'Hôpital's Rule 326\u003c\/p\u003e \u003cp\u003e8.10 Leibniz's Rule 326\u003c\/p\u003e \u003cp\u003e8.11 Integration by Parts 327\u003c\/p\u003e \u003cp\u003e8.12 Euler’s Formulas 327\u003c\/p\u003e \u003cp\u003e8.13 Solution of Linear Ordinary Differential Equations 327\u003c\/p\u003e \u003cp\u003e8.13.1 Single First Order Equation 327\u003c\/p\u003e \u003cp\u003e8.13.2 Simultaneous First Order Equations 328\u003c\/p\u003e \u003cp\u003eBibliography 332\u003c\/p\u003e \u003cp\u003eIndex 333\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default 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