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 33
... Particle 34 Shape Factors 36 Example 10. Diffusion and First-Order Reaction 36 A Priori Estimates 39 Example 11. The ... Particles in Packed Bed Exchange 59 Example 15. Diffusion and Reaction in a Slab (Reprise) 60 Example 14. Michaelis ...
... particle and destroy all semblance of spherical symmetry. If she were to consider the effect of particle shape, the indexes, under “Shape Factor,” would give access to Chapter 2, Examples 10, p. 36. If the burning were of a reservoir of ...
... particle (see I, Ch. 2, and [81, 122] and Example 9). Examples of reduction in the number of equations because one or more can be solved immediately are given in Example 12; see also [280] and [310]. A more sophisticated form of ...
... particles and allowing them to dissolve, consider a small gas bubble ascending through a stagnant liquid and transferring its contents to that liquid, where it reacts instantaneously. As it ascends, the decreasing hydrostatic pressure ...
... Particle Take the pellet to be a sphere with r the distance from the center and R the outside radius. If c(r) is the concentration as a function of r (this assumes symmetry), the usual steady state balance gives D(d/dr)(r'dc/dr) = r^f(c) ...
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 |