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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... curve rightly to the hand” and “build up their plain particular poetry” ([308], p. 2454). In brief, this book is elementary and idiosyncratic; it is not necessarily easy and idiotic. It is not necessarily easy, for it presumes a basic ...
... curve for the steady-state performance and for any Da we may choose, us [or (1 - us), the conversion] is immediately ... curves such as those in Fig. 1 drawn for Da = 2 and various U. Whenever we have derived a formula, it is important ...
... curves of exit concentration versus Damköhler number for a = S = y = 0.5 are given in Fig. 4, and the three families R*, S*, and T* in Figs. 5–7. MANIPULATION OF MODELS The previous section was concerned with the. - FIGURE 7 Exit ...
... curves share the common asymptote m – 1/q as m tends to infinity. Having thus brought the three curves together at their two ends, we are not surprised to find that they lie in a narrow band and do not differ by more than 13%." "The ...
A Chemical Engineer's Perspective Rutherford Aris. Normalized effectiveness curves It is not hard to conjecture that of all pellets of the same volume, the sphere must have the least effectiveness for a first-order irreversible reaction ...
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 |