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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... occurred to me that I had learned a great deal from my mistakes and that the papers chosen should include some whose shortcomings, or even outright errors, had been instructive. The whole would have been introduced by an ...
... occurring length, and that x = r/R would therefore be a suitable dimensionless radius, conveniently in the range (0, 1). However, if our purpose were to investigate the effect of varying the initial radius, R, over several orders of ...
... occurs in such a way that its course from zero to infinity is mirrored in the decrease of [(1 + A)*/A] to the value 4 and its subsequent increase. It might be better to write Eq. (225) in the form [(1 + A)*/A] = u(1 - U)(1 + au)°/U = uf ...
... occur in other contexts than moments and, in particular, the theory of special functions is full of them. Their use in deriving the solution to a whole family of equations is well illustrated in the reprint M, p. 337, Chapter 10. A ...
... occurred on the full cooling path JQH. It was only later (in [43]) that the correct transition point was found and that was because of the conditions for optimality were spelled out. Pontryagin's method can be applied to a number of ...
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 |