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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... given as [J'.n], J' being the siglum for MMT in the bibliography (see p. 455); throughout the text, square bracketed numbers, [m], will refer to the main bibliography of my books and papers, p. 455; all other references will be given as ...
... given, the solution of this equation is c(z, t) = c(z - thy, 0). exp(-kt), vt < z, = c(0, t-z/v). exp(-kz/v), z < vt. (30) When any quantity a varies over the cross-section, we can define an average across the tube in the usual way as ...
... given quite independently of Langmuir, who had used it some years before. The question can be answered by noting that, as the value of D goes to infinity, the tubular reactor becomes more and more completely mixed until in the limit it ...
... given us a rather messy term in addition to the two on the left-hand side of Eq. (59), 6 2, X, c (0h/öck)(dck/dt)} = 6X, {2. Ci onno) (dck/dt). Now the summation on j can be written 2 c (0hl/c), because and ôhy/öck = 0°h/8c,0c) = 0hp/8c ...
... 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 mathematics itself ...
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 |