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
The author has been teaching undergraduate and graduate level thermodynamics courses for over 30 years. Since 1989 he has been a professor at the Middle East Technical University (METU), Ankara, Turkey. He has also taught at the Turkish Military Academy and the University of Akron, Ohio. Professor Tosun received his BS and MS degrees from METU, and a PhD degree from the University of Akron, all in chemical engineering. He is the author of the book Modeling in Transport Phenomena, 2nd Ed., published by Elsevier. His research interests include mathematical modeling and transport phenomena. He is the author or co-author of over sixty publications.
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
Front cover 1
Modeling in Transport Phenomena 4
Copyright page 5
Contents 8
Preface to the Second Edition 18
Preface to the First Edition 20
Chapter 1. Introduction 24
1.1. Basic Concepts 24
1.2. Definitions 25
1.3. Mathematical Formulation of the Basic Concepts 28
1.4. Simplification of the Rate Equation 30
Reference 32
Suggested references for further study 32
Problems 33
Chapter 2. Molecular and Convective Transport 36
2.1. Molecular Transport 36
2.2. Dimensionless Numbers 44
2.3. Convective Transport 46
2.4. Total Flux 47
Notation 51
References 53
Suggested references for further study 53
Problems 53
Chapter 3. Interphase Transport and Transfer Coefficients 58
3.1. Friction Factor 58
3.2. Heat Transfer Coefficient 62
3.3. Mass Transfer Coefficient 65
3.4. Dimensionless Numbers 69
3.5. Transport Analogies 72
Notation 76
Reference 78
Suggested references for further study 78
Problems 78
Chapter 4. Evaluation of Transfer Coefficients: Engineering Correlations 82
4.1. Reference Temperature and Concentration 82
4.2. Flow Past a Flat Plate 83
4.3. Flow Past a Single Sphere 89
4.4. Flow Normal to a Single Cylinder 101
4.5. Flow in Circular Pipes 107
4.6. Flow in Packed Beds 124
Notation 130
References 132
Suggested references for further study 132
Problems 133
Chapter 5. Rate of Generation in Momentum, Energy, and Mass Transport 140
5.1. Rate of Generation in Momentum Transport 140
5.2. Rate of Generation in Energy Transport 143
5.3. Rate of Generation in Mass Transport 144
Notation 152
Reference 153
Suggested references for further study 153
Chapter 6. Steady-State Macroscopic Balances 154
6.1. Conservation of Chemical Species 154
6.2. Conservation of Mass 157
6.3. Conservation of Energy 160
Notation 176
References 177
Suggested references for further study 178
Problems 178
Chapter 7. Unsteady-State Macroscopic Balances 184
7.1. Approximations Used in Modeling of Unsteady-State Processes 184
7.2. Conservation of Chemical Species 187
7.3. Conservation of Total Mass 188
7.4. Conservation of Momentum 196
7.5. Conservation of Energy 199
7.6. Design of a Spray Tower for the Granulation of Melt 211
Notation 216
References 218
Suggested references for further study 218
Problems 218
Chapter 8. Steady Microscopic Balances Without Generation 236
8.1. Momentum Transport 236
8.2. Energy Transport Without Convection 242
8.3. Energy Transport with Convection 283
8.4. Mass Transport Without Convection 284
8.5. Mass Transport with Convection 301
Notation 317
References 319
Suggested references for further study 319
Problems 319
Chapter 9. Steady Microscopic Balances with Generation 328
9.1. Momentum Transport 328
9.2. Energy Transport Without Convection 343
9.3. Energy Transport with Convection 363
9.4. Mass Transport Without Convection 378
9.5. Mass Transport with Convection 385
Notation 409
References 411
Suggested references for further study 412
Problems 412
Chapter 10. Unsteady-State Microscopic Balances Without Generation 432
10.1. Momentum Transport 432
10.2. Energy Transport 438
10.3. Mass Transport 468
Notation 489
References 490
Suggested references for further study 490
Problems 490
Chapter 11. Unsteady-State Microscopic Balances with Generation 506
11.1. Momentum Transport 506
11.2. Energy Transport 512
11.3. Mass Transport 521
Notation 533
References 534
Suggested references for further study 534
Problems 534
Appendix A. Mathematical Preliminaries 546
A.1. Cylindrical and Spherical Coordinate Systems 546
A.2. Mean Value Theorem 547
Problems 548
A.3. Slopes on Log-Log and Semi-Log Graph Paper 549
A.4. Leibnitz's Rule for Differentiation of Integrals 549
A.5. Numerical Differentiation of Experimental Data 550
A.6. Regression and Correlation 554
A.7. The Root of an Equation 559
Problems 564
A.8. Methods of Integration 565
A.9. Matrices 573
References 579
Suggested references for further study 579
Appendix B. Solutions of Differential Equations 580
B.1. Types of First-Order Equations with Exact Solutions 580
B.2. Second-Order Linear Differential Equations 585
B.3. Second-Order Partial Differential Equations 599
References 611
Suggested references for further study 611
Appendix C. Flux Expressions for Mass, Momentum, and Energy 612
Appendix D. Physical Properties 618
References 622
Appendix E. Constants and Conversion Factors 624
Index 626
| Erscheint lt. Verlag | 17.7.2007 |
|---|---|
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Chemie |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
| Technik ► Bauwesen | |
| ISBN-10 | 0-08-054950-0 / 0080549500 |
| ISBN-13 | 978-0-08-054950-7 / 9780080549507 |
| Haben Sie eine Frage zum Produkt? |
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