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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... Example 3 Example 1. The Well-Stirred Tank 3 Review of the Simplest Example 8 The Simplest Distributed Model 9 Example 2. The Tubular Reactor 9 The General Balance Equations for Distributed Systems 10 Boundary Conditions 13 Example 3 ...
... Example 9. The Spherical Catalyst Particle 34 Shape Factors 36 Example 10. Diffusion and First-Order Reaction 36 A Priori Estimates 39 Example 11. The Nonisothermal Catalyst Pellet 39 Scaling and Partial Solution in Linear Systems 40 ...
... example—have been omitted completely, since to have included any one of them would have added another fifty pages to ... examples are generally chosen, or different parts of a paper used as illustration. Frequent crossreferencing will ...
... Examples 7 and 8, pp. 28–34. At a later stage, she might have a differential equation that could be solved by quadrature, in which case Chap. 3, Example 7, p. 50 might be useful. If her system were nonisothermal, the index to the papers ...
... EXAMPLE Example I. The Well-Stirred Tank The simplest type of chemical reactor is a well-stirred vessel, into which a feedstock flows and out of which a product stream comes. We shall assume that the densities of the two streams and 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 |