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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... obtain a differential equation, we are invoking a natural law, the conservation of matter in our case. If the net flux of any conserved quantity into a lumped system over its boundaries is F, the rate of generation within the system is ...
... obtained, yielding the pair of first-order partial * Westerterp, K. R., V. V. Dil'man, and A. E. Kronberg. Wave model for longitudinal dispersion: Development of the model. A.I.Ch. E. J. 41, 2013–2028 (1995). differential equations āc ...
... obtained, but the same difficulty would have been encountered. The error—the one that I backed into in [28] and corrected in [254]—lies in using a balance that cuts across both phases, Eq. (47), when one is uniform and the other ...
... obtained from this tool, without ever solving the problem; the remaining tenth requires painstaking algebra and/or lots of computer time, it adds very little to our understanding of the problem, and if we haven't done the first part ...
... obtained when the so-called center manifold theorem is invoked. This says essentially that a subspace of lower dimension than the whole state-space gives a true representation of the essential features of the system and one that can 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 |