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
Results 1-5 of 47
... Species and Reactions between Them 150 . The Representation and Calculus of Composition Changes 154 . Equilibrium in Systems of Reactions 157 . Kinetics of Reactions 159 . Reaction Mechanisms 161 . Entropy Production 165 . Discussion ...
... Species Forced Reaction 231 Spontaneously Oscillating Models 233 Computation of Quasi-periodic Trajectories 234 Forced Dynamic Phenomena 240 Small Amplitude Forcing 240 Stronger Forcing 241 Other Models and Different Types of Forcing ...
... species, namely the transfer from the distributed phase, whereas the chemical disappears by reaction and by washout: (Skc/L) | [C(z) - claz = (1 - e)Vkc + qc. (48) These equations can be made dimensionless by setting U = C/C, u = c/C, x ...
... species A1, A2, ... , As, where by convention the products of the reaction have positive stoicheiometric coefficients and the reactants negative; inerts can be included by assigning them the stoichiometric coefficient zero. If this ...
... (x) X d 1. * w - |-* : i-x -: < 8. a. * *-* - 6. < f *** FIGURE l l Dependence of the dispersion and drift on the proportionality of the species. change sign and the convective influence of V will dominate. 48 CHAPTER 3/SOLVING THE ...
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 |