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
Results 1-5 of 42
... physical, for definiteness) system, S, is mirrored in the model, X, by the modeling relationship h. Changes in the physical, say, S1 -> S2 = gS1, are mirrored in the model as Xi → X2 = y21. The model is satisfactory if the diagram S1 ...
... physical situation nor make the equations any more tractable than they are to begin with." Another broad principle may be mentioned. It is a good idea in most cases to try to make the dimensionless dependent variables be of order of ...
... physical constants of the process. We need three that span the three dimensions of mass, length, and time. In the previous example, we have p, v, and g, whose dimensionality can be read from the following matrix: M L T p 1 -3 0 v 0 2 ...
... physical basis of mass, length, and time. We can change the basis to the three constant properties of the liquid and obtain characteristic times, lengths, and so on. For instance, the first line means that a characteristic time is t ...
... physically obvious, as when we have a system in which a substance is disappearing by an irreversible reaction and its concentration cannot exceed the value at the inlet. A nice illustration of a less trivial estimate is provided by the ...
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 |