Mathematical Modeling: A Chemical Engineer's PerspectiveMathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities.
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A Chemical Engineer's Perspective Rutherford Aris. This Page Intentionally Left Blank CONTENTS PREFACE XVii | | | METHOD AND MANNER |
A Chemical Engineer's Perspective Rutherford Aris. CONTENTS PREFACE XVii | | | METHOD AND MANNER | What Is Mathematical Modeling! A Very Simple Example 3 Example 1. The Well-Stirred Tank 3 Review of the Simplest Example 8 The Simplest ...
... Method of Reduction 30 Example 8. The Rising Bubble Problem 31 Scaling 33 Example 7. The Dissolving Sphere (Reprise) 33 Example 9. The Spherical Catalyst Particle 34 Shape Factors 36 Example 10. Diffusion and First-Order Reaction 36 A ...
... Methods 229 Computation of Periodic Trajectories 229 The Single Species Forced Reaction 231 Spontaneously Oscillating Models 233 Computation of Quasi-periodic Trajectories 234 Forced Dynamic Phenomena 240 Small Amplitude Forcing 240 ...
... Method and manner are the themes of the first six chapters and a score of illustrative examples are woven into this part, allowing me to refer to papers that are not suitable for reproduction in full. The matter of chemical engineering ...
Contents
MATTER | 105 |
MISCELLANEA | 417 |
BIBLIOGRAPHY | 455 |
INDEX OF GRADUATE STUDENTS AND COAUTHORS | 467 |
SUBJECT INDEX TO THE PAPERS IN THE BIBLIOGRAPHY | 469 |
INDEX | 473 |