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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... Importance of Having More Than One Viewpoint in Mathematical Modeling and Other Disciplines 374 R. ARIS References 399 Q. Reflections on Keats' Equation 400 RUTHERFORD ARIS Keats' Equation 400 Dirac's Statements and Dyson's Analysis 401 ...
... important dimensionless groups in chemical reaction engineering." We now have du/dT = 1 - u - Da u, u(0) = U, (10) where U is the initial value of u. Before committing ourselves to this form, however, we should consider the purpose this ...
... important to see that all the special cases we can think of are satisfied. Here, we see that if the initial concentration is the steady-state concentration, U = us, then the concentration stays at the steady-state value, which is just ...
... importance that they are worth reiterating.” *The locutions lumped parameter system and distributed parameter system are enough “to frighten children in their beds” as Housman might have put it (T. Stoppard, The Invention of Love, in ...
... important generalization of P* in which the z-coordinate is parallel to the axis of a straight tube, and x and y are coordinates in the cross-section. First, let there be no diffusion but merely a first-order reaction; then h = c(x, y ...
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 |