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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... Diagram 90 5 Maxims for Modelers Text 93 6 Style Literary Style 96 Genre 98 Plagiarism and Attribution 101 Publish or Perish 102 I Matter 7 Dispersion in Flow A. On the Dispersion of a Solute in a Fluid Flowing through a Tube 109 R ...
... Diagram 314 (a) Small and Large Forcing Amplitudes 316 (b) Local Codimensional-One Bifurcations 317 (c) Local Bifurcations of Codimension-Two and Three 321 (i) Two Floquet Multiplier at –1 321 (ii) Two Floquet Multipliers at -1 ...
... diagram in which the state of the nonmathematical (let us call it 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 ...
... diagram will be a plot of U versus A. Upper-case letters will be used for the steady state values and the equations connecting U, V, and W are: Aau = A(a - V) = uVW* = ua (1 – U)W* = (A + 1)W – A. (224) Using the first and the last of ...
... a single component, is the key to the case of many 1 - 0.1 - 0.01 - 0.001 I I I. F1GURE I4 Gray/Scott reaction: The curve f(U; a). A. FIGURE 16 Gray/Scott reaction: Bifurcation diagram for two parallel. 56 CHAPTER 3/SOLVING THE EQUATIONS.
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 |