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
Results 1-5 of 88
... stable, and if some perturbation moves the state away from the line, it will move back to the line, but not necessarily to the point from which it was disturbed. Thus if the dilution rate were to fluctuate, 46 CHAPTER 3/SOLVING THE ...
... stability arise [73]. Example 15. Diffusion and Reaction in a Slab The special form of second-order equation in which the right-hand side is a function only of the dependent variable also turns up in the theory of diffusion and reaction ...
... stability can be found" (Cf. [312]). In Fig. 13, the broken line A = 0 is manifestly unstable. However, the broken line ... stable. * Isodic = means “having the same paths.” I am not sure if this term, obvious though it is, is in current ...
... stability and chemical oscillations.” We shall depart from their notation for we wish to be able to generalize to several species, Ai, and it is not desirable to use the concentration of A as a reference concentration when it is going ...
... stable steady state, v would almost instantly reach this so-called pseudo-steady-state v = u/(u + u). Then Eq. (248) would be du/dT = -k u/(u + u), (250) of which we found the solution by separation of variables and quadrature, namely ...
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 |