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 79
... shown that when there is no external resistance, map tends to a constant. This is not surprising, as the reaction rate will be proportional to the surface area and it is being averaged over the volume and so would be proportional to ...
... shown in Fig. 14. These are at U = {a + V(a(a – 8))}/4a, (226) for which f has values of dp(a), b(a) = {a” +20a – 8 + (a – 8) V(a(a – 8))}/8. (227) Thus, if u < 4/q)(a), the solution is unique, for the quantity on the left of Eq ...
... shown in Fig. 14 as markers at the extrema of f(U), which are shown as functions of U for a = 8, 10, 20, 50, 100, 200. Our method shows that there can be no more than two intersections of a bifurcation curve with a line of constant U ...
... shown that the diffusion in the particles makes a contribution to the apparent dispersion coefficient that is proportional to v^d°/D. The constant of proportionality has one part that is a function of the kinematic wave speed u, but ...
... shown that that the longitudinal dispersion was enhanced by a small molecular diffusion coefficient because this inhibited the exchange between the slower and faster streams that would otherwise average out the speed of the cloud and ...
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 |