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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... Heat Transfer M. An Example of the Relation between Discrete and 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 ...
... heat balances down but hesitate before getting them into dimensionless form. Either a direct reference to the Contents or by taking a route through the Index, she would find some direct discussion of this manipulation in Chap. 2 ...
... heating or cooling. One does not put in a term for the rate of generation of heat by reaction; that falls out naturally from the rearrangement of the enthalpy. Let G = Q(T); then wan(2. on) : aX. {cifh,(T,) – c'h,(T)} + Q(T) (68) or ...
... heat may be trapped within the particle. We will not go through the derivation in detail (Chapter 2 of [I] goes into ... heat transfer coefficient, while AH is the heat of reaction. T is the obvious characteristic temperature to use, and ...
... heat and mass transport; and 8 a measure of the heat of reaction, often called the Prater number. We shall see the importance of the Prater number in Example 12, but first let us say something about shape. SHAPE FACTORS Example 10 ...
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 |