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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... consider the effect of particle shape, the indexes, under “Shape Factor,” would give access to Chapter 2, Examples 10, p. 36. If the burning were of a reservoir of solid material, then the Subject Index to the Papers in the Bibliography ...
... consider an elementary example, returning later to the philosophical caveats and more general considerations. A mathematical model is a representation, in mathematical terms, of certain aspects of a nonmathematical system. The arts and ...
... consider just what assumptions we have made. The conservation of mass is a general principle of physics that holds in everyday life and only gives way to the conservation of mass–energy when atomic physics is involved. Equation (1) ...
... Consider first the single equation, Eq.(5) and ask what it might be used for. We could, for example, ask what the effect of comparing the behavior for various, but still constant, values of cin might be. In this case, the answer is ...
... considering is not mixed at all; that is, each little packet of molecules is in the reactor for a time 6 and does not have contact with the molecules in any other packet (see Example 2). Then we might as well think of the reactor as 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 |