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 82
... Bifurcations of a Simple Biomolecular Surface-Reaction Model 282 M. A. McKARNIN, R. ARIS, AND L. D. SCHNMIDT Introduction 282 Surface Reaction Model 283 Bifurcation Analysis 286 (a) Model Symmetry 286 (b) Steady-State Bifurcations 287 ...
... Bifurcations 317 (c) Local Bifurcations of Codimension-Two and Three 321 (i) Two Floquet Multiplier at –1 321 (ii) Two Floquet Multipliers at -1 (Bogdanov Points) 321 (iii) Metacritical Period Doubling 322 (iv) Saddle-Node Cusp Points ...
... bifurcation studies of this kind, it is usual to choose a distinguished parameter, here the dilution rate A, and plot some norm of the steady state against it. The conversion will be taken as this norm and the bifurcation diagram will ...
... bifurcation curve with a line of constant U for, if A(A) denote (1 + A)*/A, the two values of A that satisfy the quadratic A = uf are the only two values possible. Furthermore, because their product is 1, a scale that is logarithmic in ...
... Bifurcation diagram at the point where a mushroom is turning into an isola. parallel reactions. If we set U = u()/(1 + u0), (229) then Ugoes over its full range, 0 to 1, as Q goes from zero to infinity. Moreover, the relation is ...
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 |