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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... Application to a Model of the Bubbling Fluidized Bed 215 The Damköhler Number 218 The Fluid Bed with Astarita's Uniform Kinetics 220 Nomenclature 221 References 223 9 STATICS AND DYNAMICS OF CHEMICAL REACTORS | Some Common CONTENTS xi.
A Chemical Engineer's Perspective Rutherford Aris. 9 STATICS AND DYNAMICS OF CHEMICAL REACTORS | Some Common Features ... Dynamic Phenomena 240 Small Amplitude Forcing 240 Stronger Forcing 241 Other Models and Different Types of Forcing ...
... dynamic programming would yield a number of references and lead round to Example 12, where an error into which the unwary might fall is discovered. Consulting the Index, would also make sure that he did not fall into any confusion ...
... dynamics in the immediate neighborhood of the line x + y = z – 1. Now, in this neighborhood, the linearization of the growth rates gives f(z) = 1 + a(z - 1), g(z) = 1 + 8(z = 1), (171) where a = B/A, 8 = D/C. Then the equations can be ...
... dynamic programming that was only corrected when the conditions spelled out in a theorem of Pontryagin's were observed. I found the mistake instructive and hope others will also. The optimal problem in question was that of determining ...
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 |