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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... show the difficulty of dividing up the subject, they might well have gone in a separate, third section. However, it was felt that they deal with questions of method. In them I get a few things off my chest that I hope will provoke my ...
... shows that this transition takes place exponentially with a rate constant that is the sum of the rate constants for convection and reaction. This is very satisfying intellectually. We feel that we have grasped the totality of the ...
A Chemical Engineer's Perspective Rutherford Aris. and the same argument can be used to show that the integrand is zero at every point of continuity. We therefore have at every point of continuity in Q 6hlót + (0f/0x + of /öy + of:/0z) ...
... shows the arrangement). A is the crosssectional area of both reactors (Ae for the tubular reactor, P*, and A(1 - e) for the tank, C*"). Their common length is L, giving volumes of AeL and A(1 - 8)L, respectively. The area of interchange ...
... (50) and this is subject to U(0) - (1/P)U"(0) = 1 and (1/P)U"(1) = 0, (51) whereas the balance over C* gives m[U] = (1 + m + n)u. (52) Because the problem shows up even in the limiting case. | 6 CHAPTER 1/WHAT IS MATHEMATICAL MODELING!
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 |