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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From inside the book
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... Continuous Mixtures and Parallel Gray–Scott Reactions 57 Asymptotics and Perturbations 59 Example 18. Shape Factors for Particles in Packed Bed Exchange 59 Example 15. Diffusion and Reaction in a Slab (Reprise) 60 Example 14. Michaelis ...
... Continuous Mixtures 189 RUTHERFORD ARS Introduction 189 General Formulation for a Single Index 191 Parallel Reaction in a Doubly Distributed Continuum 194 Examples 195 Generalized Background Kinetics 199 Discrete Distributions 201 ...
... Continuous Models 337 The Geometry of the Hexaga 337 Heat Transfer 339 The Discrete Model 341 The Continuous Model 342 Two Lemmas 343 Equivalence of the Models in the Limit e – 0 344 N. A General Theory of Anisotropic Membranes 345 R ...
... continuous, the integrand must also vanish everywhere (Fig. 2). For, if it did not vanish at a point of continuity, but were, for instance, positive there, then there would have to be a finite interval in which it remained positive and ...
... continuous, for the surface has no capacity to hold anything or volume to generate anything. Because there can be no accumulation in the surface, the flux up to it from one side must equal the flux away from it on the other. Thus, [f] ...
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 |