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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... independent (in our example, time) and dependent (volume and concentration) variables. The term lumped is applied to variables that are uniform throughout the system, as all are in our simple example because we have assumed perfect ...
... 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 is a stirred ...
... independent of v. To be effective, the reduction to dimensionless form must be complete. Going halfway will neither add to the understanding of the physical situation nor make the equations any more tractable than they are to begin with ...
... independent set and span the three dimensions. The matrix can be inverted to express the basic dimensions in terms of the three parametric quantities: p V g M 1 2 – 1 L 0 2/3 -1/3 T 0 1/3 –2/3 meaning that pu°/g has purely dimensions of ...
... independent variable, for, if we need it, we can find the time of rise from the solution of the equations by quadrature. The pressure is given by the gas law and is, in fact, equal to either side of the differential equation for 4. 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 |