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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... called the residence time and its reciprocal is called the space velocity. Now suppose the feed contains a reactant A that irreversibly goes to a product B. Let cin be the concentration of A in the feed and c its concentration both in ...
... called constitutive relations because they invoke the constitutions of the various components. They are not principles applying to everything, as are natural laws, but apply only to the materials in question. 4. We should also ...
... called the dispersive flux because it acts to disperse material in the direction of the tube. If there is longitudinal diffusion and Fick's law is valid for the averaged quantities, (j) = -D(ó(c)6/z) and we have (dropping the averaging ...
... called homogeneous of degree m if f(\x1, Ax2, . . . Axn) = \"f(x1, x2, ... xn). Euler's theorem states that 2x(óf/dx) = nf(x1, x2, ... x.), as can be easily seen by differentiating the definition and putting A = 1. Example 5. The ...
... called center manifold theorem is invoked. This says essentially that a subspace of lower dimension than the whole state-space gives a true representation of the essential features of the system and one that can be built on to give a ...
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 |