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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... means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Requests for permission to make copies of any part of the work should be ...
... means of a constitutive relation for the material under study, often u = h. At a surface of discontinuity in a three ... mean speed of flow. In the case of a flat profile, v = (v) and (j) = 0. If there is a variation of flow profile or ...
... mean velocity U. It is possible to combine the two equations in one hyperbolic second-order PDE. This has the property of finite wave speed, both boundary conditions at the entrance are easily calculable, and it accounts for some of the ...
... mean [U] from the first of these equations, we have two equations for [U] and u, giving [U] = (1 + m + n)E/(1 + n + mE), u = mE/(1 + n + mE), (63) where E is an abbreviation for {1 - exp(-bm)}/bm. To the solution U(x) = {(1 + n) exp ...
... means of checking one's estimates, but it takes half the joy of mathematical modeling away if one resorts to them too readily. We discuss here various aspects of the manipulation of models, not attempting to be comprehensive, but ...
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 |