Modeling in Transport Phenomena: A Conceptual Approach
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Table of contents
- Cover
- Contentsvii
- Preface to the Second Editionxvii
- Preface to the First Editionxix
- Chapter 1. Introduction1
- 1.1. Basic Concepts1
- 1.2. Definitions2
- 1.3. Mathematical Formulation of the Basic Concepts5
- 1.4. Simplification of the Rate Equation7
- Reference9
- Suggested references for further study9
- Problems10
- Chapter 2. Molecular and Convective Transport13
- 2.1. Molecular Transport13
- 2.2. Dimensionless Numbers21
- 2.3. Convective Transport23
- 2.4. Total Flux24
- Notation28
- References30
- Suggested references for further study30
- Problems30
- Chapter 3. Interphase Transport and Transfer Coefficients35
- 3.1. Friction Factor35
- 3.2. Heat Transfer Coefficient39
- 3.3. Mass Transfer Coefficient42
- 3.4. Dimensionless Numbers46
- 3.5. Transport Analogies49
- Notation53
- Reference55
- Suggested references for further study55
- Problems55
- Chapter 4. Evaluation of Transfer Coefficients: Engineering Correlations59
- 4.1. Reference Temperature and Concentration59
- 4.2. Flow Past a Flat Plate60
- 4.3. Flow Past a Single Sphere66
- 4.4. Flow Normal to a Single Cylinder78
- 4.5. Flow in Circular Pipes84
- 4.6. Flow in Packed Beds101
- Notation107
- References109
- Suggested references for further study109
- Problems110
- Chapter 5. Rate of Generation in Momentum, Energy, and Mass Transport117
- 5.1. Rate of Generation in Momentum Transport117
- 5.2. Rate of Generation in Energy Transport120
- 5.3. Rate of Generation in Mass Transport121
- Notation129
- Reference130
- Suggested references for further study130
- Chapter 6. Steady-State Macroscopic Balances131
- 6.1. Conservation of Chemical Species131
- 6.2. Conservation of Mass134
- 6.3. Conservation of Energy137
- Notation153
- References154
- Suggested references for further study155
- Problems155
- Chapter 7. Unsteady-State Macroscopic Balances161
- 7.1. Approximations Used in Modeling of Unsteady-State Processes161
- 7.2. Conservation of Chemical Species164
- 7.3. Conservation of Total Mass165
- 7.4. Conservation of Momentum173
- 7.5. Conservation of Energy176
- 7.6. Design of a Spray Tower for the Granulation of Melt188
- Notation193
- References195
- Suggested references for further study195
- Problems195
- Chapter 8. Steady Microscopic Balances Without Generation213
- 8.1. Momentum Transport213
- 8.2. Energy Transport Without Convection219
- 8.3. Energy Transport with Convection260
- 8.4. Mass Transport Without Convection261
- 8.5. Mass Transport with Convection278
- Notation294
- References296
- Suggested references for further study296
- Problems296
- Chapter 9. Steady Microscopic Balances with Generation305
- 9.1. Momentum Transport305
- 9.2. Energy Transport Without Convection320
- 9.3. Energy Transport with Convection340
- 9.4. Mass Transport Without Convection355
- 9.5. Mass Transport with Convection362
- Notation386
- References388
- Suggested references for further study389
- Problems389
- Chapter 10. Unsteady-State Microscopic Balances Without Generation409
- 10.1. Momentum Transport409
- 10.2. Energy Transport415
- 10.3. Mass Transport445
- Notation466
- References467
- Suggested references for further study467
- Problems467
- Chapter 11. Unsteady-State Microscopic Balances with Generation483
- 11.1. Momentum Transport483
- 11.2. Energy Transport489
- 11.3. Mass Transport498
- Notation510
- References511
- Suggested references for further study511
- Problems511
- Appendix A. Mathematical Preliminaries523
- A.1. Cylindrical and Spherical Coordinate Systems523
- A.2. Mean Value Theorem524
- Problems525
- A.3. Slopes on Log-Log and Semi-Log Graph Paper526
- A.4. Leibnitz's Rule for Differentiation of Integrals526
- A.5. Numerical Differentiation of Experimental Data527
- A.6. Regression and Correlation531
- A.7. The Root of an Equation536
- Problems541
- A.8. Methods of Integration542
- A.9. Matrices550
- References556
- Suggested references for further study556
- Appendix B. Solutions of Differential Equations557
- B.1. Types of First-Order Equations with Exact Solutions557
- B.2. Second-Order Linear Differential Equations562
- B.3. Second-Order Partial Differential Equations576
- References588
- Suggested references for further study588
- Appendix C. Flux Expressions for Mass, Momentum, and Energy589
- Appendix D. Physical Properties595
- References599
- Appendix E. Constants and Conversion Factors601
- Index603
Modeling in Transport Phenomena, Second Edition presents and clearly explains with example problems the basic concepts and their applications to fluid flow, heat transfer, mass transfer, chemical reaction engineering and thermodynamics. A balanced approach is presented between analysis and synthesis, students will understand how to use the solution in engineering analysis. Systematic derivations of the equations and the physical significance of each term are given in detail, for students to easily understand and follow up the material.
There is a strong incentive in science and engineering to understand why a phenomenon behaves the way it does. For this purpose, a complicated real-life problem is transformed into a mathematically tractable problem while preserving the essential features of it. Such a process, known as mathematical modeling, requires understanding of the basic concepts. This book teaches students these basic concepts and shows the similarities between them. Answers to all problems are provided allowing students to check their solutions. Emphasis is on how to get the model equation representing a physical phenomenon and not on exploiting various numerical techniques to solve mathematical equations.
* A balanced approach is presented between analysis and synthesis, students will understand how to use the solution in engineering analysis.
* Systematic derivations of the equations as well as the physical significance of each term are given in detail
* Many more problems and examples are given than in the first edition - answers provided
There is a strong incentive in science and engineering to understand why a phenomenon behaves the way it does. For this purpose, a complicated real-life problem is transformed into a mathematically tractable problem while preserving the essential features of it. Such a process, known as mathematical modeling, requires understanding of the basic concepts. This book teaches students these basic concepts and shows the similarities between them. Answers to all problems are provided allowing students to check their solutions. Emphasis is on how to get the model equation representing a physical phenomenon and not on exploiting various numerical techniques to solve mathematical equations.
* A balanced approach is presented between analysis and synthesis, students will understand how to use the solution in engineering analysis.
* Systematic derivations of the equations as well as the physical significance of each term are given in detail
* Many more problems and examples are given than in the first edition - answers provided