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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... 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 of the main bibliography, A ...
... 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 crafts of mathematical modeling are ...
... later stage (e.g., if V is constant, it can be dismissed as a variable). In general, variables fall into two groups: independent (in our example, time) and dependent (volume and concentration) variables. The term lumped is applied to ...
... later. It should be noticed, however, that although 6 = L/v is the natural way of defining the residence time, we may want to consider a “very long” reactor, that is, one for which L → Go, and in this case it is not suitable to use it ...
... later and turn to the equation for temperature. Again, it is important to realize that an equation for T cannot be written down immediately, but must be derived from the balance of some form of energy, here the enthalpy. Let h;(T) be ...
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 |