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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... integrals being taken over the region o. The flux is defined by a vector f with three components, f., f, and f, and the ... integral by the application of Green's theorem JJJ f-n dS = JJJ A. f dV, where Af = (of 10x + f/dy +f/0z). Then ...
... integrals, which, except in particular cases, we may have to calculate using finite sums. The parametric approach lends itself to a spreadsheet type of calculation. The first column can contain a large number of values of Q spaced ...
... integral in Green's formula vanishes because u1 = 0 there. The unexpected overlap of this problem is more surprising than significant, for the first derivative of the effectiveness factor with respect to the Thiele modulus (Figs. 8 and ...
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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 |