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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... roots to come, is the Thiele modulus. It measures the intensity of reaction in terms of the potential rate of diffusion, for it may be written * = 31(4/3)TR'f(c)]/[4tR*D(cf/R)]. (116) In this expression, 3 is a purely geometric factor ...
... roots, but it is in a very suitable form for a geometric analysis. In the first place, the parameters have separated themselves nicely into two groups, a and u, defining a family of cubic curves going from infinity at U = 0 to (1,0) in ...
... root is needed if only one-half of the logarithmically symmetric diagram is to be plotted), Q. Then, if the program has an equation solver, succeeding columns can readily be used to compute the Jacobean and the eigenvalues and hence the ...
... root of 2 as v — 0. For values of p greater than V2, which are certainly possible, both the concentration and its derivative go to zero inside the pellet at a point £, where p(1 - 3) = V2. We see that p = H(1, v) for p < V2, so n = 1 ...
... root because this would not keep c” finite, we have c”(z,s) = exp(-(vz/2D){V[1 + (4Ds/v°)]–1} = exp(-(z/v)s + (Dz/v")s” — . . .). (277) Hence, by the previous remark, g(z) = z/v, a”(z) = 2Dz/v°. We notice that, if we take ...
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 |