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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... defined by a vector f with three components, f., f, and f, and the flux across a plane whose normal is in the direction (l, m, n) is lí + mf, + nf = f. n. Thus the net flux into the region o is F(t) = | |f(x,y,z,t)-nds. (27) where n is ...
... define an average across the tube in the usual way as (a) = (1A) || a.dx dy Then Eq. (22) can be averaged to give 6(c)/ðt + (v)(0(c)/6z) + 6(j)6/z + k (c) = 0, (31) where (i) = (1/A) | c.(v-(v)ax dy (32) is the net flux across a plane ...
... definition and putting A = 1. Example 5. The Nonisothermal Stirred Tank The locus classicus of this important principle for chemical engineers is the nonisothermal stirred tank in which a single reaction takes place (for multiple ...
... definition given at the beginning. It is important to recognize that, although the term mathematical modeling has gained considerable currency in recent years, the practice of mathematical modeling has been going on as long as ...
... definition, I mentioned the exterior purpose, and the use of the words model and simulation speaks to the respective purposes of conceptual understanding and actual approximation. Different models may be appropriate to the same purpose ...
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 |