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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... Saddle-Node Cusp Points 322 (v) Hopf Bifurcations with Hard Resonances 323 5. Discussion 327 References 331 : 10 Mass and Heat Transfer M. An Example of the Relation between Discrete and Continuous Models 337 The Geometry of the Hexaga ...
... saddle-point B. Local stability is attained when u = 2.25, but as we shall see, “local” is very local. As we increase the control parameter, u, the upper steady state, C, moves down, changing its character and passing through B, the ...
... variation of the limit-cycle with increasing control. FIGURE 19 Phase-plane of a C* controlled about the unstable steady state (initially a saddle-point) by cooling proportional to the temperature. i t I 1.8 2.0 2.2. THE PHASE PLANE 77.
... SADDLE POINT O O O | | { LIMIT } { STABLE CYCLES (UNST TOTAL INVARIANTS 4 ABSCISSA - CONCENTRATION ORONATE-TEMPERATURE | G H J FIGURE 22 Possible types of phase-plane for the nonisothermal C*. be found and its character determines the ...
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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 |