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
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... Dimensionless Form 28 Example 7. The Dissolving Sphere 28 An Alternative Method of Reduction 30 Example 8. The Rising Bubble Problem 31 Scaling 33 Example 7. The Dissolving Sphere (Reprise) 33 Example 9. The Spherical Catalyst Particle ...
... Dimensionless Parameters 407 A Model of Algal Growth 408 Beauty as a Criterion of Truth 410 Craftsmanship and the Enjoyment of Beauty 411 Notation 413 References 414 R. Chemical Engineering Greetings 415 Text 415 III MISCELLANEA ...
... dimensionless form. Either a direct reference to the Contents or by taking a route through the Index, she would find some direct discussion of this manipulation in Chap. 2, Examples 7 and 8, pp. 28–34. At a later stage, she might have a ...
... dimensionless concentration u(t) satisfying 6(du/dt) = 1 - u – 6ku, u(0) = co/cin. (7) We have already seen that 6 is a characteristic time, and it is evident that T = t46. (8) This leaves only the combination 6k in the equation. This ...
... dimensionless time T. Thus k must be used to make time dimensionless, for instance, T = kt. Da is still the Damköhler number, but the equation is now du/dT = (1 - u)/Da - u. (19) To unpack the result completely, we go back to the ...
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 |