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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... 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-Menten ...
... Mixtures 189 RUTHERFORD ARS Introduction 189 General Formulation for a Single Index 191 Parallel Reaction in a Doubly ... Mixture in a Bubbling Fluidized Bed 21. N. R. ANAUNDSON AND R. ARIS Introduction 211 Gamma Distributions 213 ...
... (we will ignore the dependence on c for the moment), so that the total enthalpy of the reacting mixture is H = V2. ch, and the net flux F = 4Śch (T) – |8 CHAPTER ||WHAT IS MATHEN1ATICAL MODELING! Extensive and Intensive Quantities.
... mixtures,” we can be very brief and start with the nondimensional equations. Let x be the index of the mixture whose “species” are A(x). The steady-state concentration of the material with index in (x, x + dx) is V(x)dx, the feed ...
... mixtures and we have only to calculate integrals, which, except in particular cases, we may have to calculate using finite sums. The parametric approach lends itself to a spreadsheet type of calculation. The first column can contain a ...
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 |