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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... to papers that are not suitable for reproduction in full. The matter of chemical engineering is represented in a selection of seventeen papers that constitute the second part, Chapters 7–11. It is, of course, impossible xviii PREFACE.
... course, impossible to separate these topics completely, but the first part emphasizes general principles and cites papers that illustrate these, as well as taking note of some pitfalls that beset them. The second commentary in the ...
... course, we have to express f, g, and h in terms of a common variable, u for example, by means of a constitutive relation for the material under study, often u = h. At a surface of discontinuity in a three-dimensional space (or a line in ...
... course in mathematics for chemical engineering, he always insisted that “all boundary conditions arise from nature.” He meant, I think, that a lot of simplification and imagination goes into the model itself, but the boundary conditions ...
... course, the feed concentration of Aj. We will leave the further reduction of these S equations until later and turn to the equation for temperature. Again, it is important to realize that an equation for T cannot be written down ...
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 |