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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... for Maximum Anisotropy 350 Application 353 Anisotropy with a General Concentration Dependence 354 Other Configurations 355 Nomenclature 357 References 358 | | Modeling in General O. Of Chemical Engineering and CONTENTS xiii.
... concentration of A in the feed and c its concentration both in the tank and the effluent (the assumption of good mixing ensures the last two will be the same), and let the reaction be of the first order so that it proceeds at a rate kc ...
... concentration, then u = c/cin (6) and we 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 ...
... concentration is the steady-state concentration, U = us, then the concentration stays at the steady-state value, which is just what we would expect it to do. If U 5% us, we can set v = (u - us)/(U - us) (13) and v satisfies the even ...
... concentration of the reactant at a distance z from the entrance, where the feed concentration is cin. We can proceed in two ways at this point: applying the general balance F + G = dB/dt either to an infinitesimal slice between 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 |