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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... Distributed Model 9 Example 2. The Tubular Reactor 9 The General Balance Equations for Distributed Systems 10 Boundary Conditions 13 Example 3. The Danckwerts Boundary Conditions 13 Respecting Uniformity 15 Example 4. Two-Phase Reactor ...
... Distributions of Solute 115 The General Case 116 Turbulent Flow in a Tube of Circular Cross-Section 118 . Viscous Flow in a Tube of Arbitrary Cross-Section 118 References 120 | B. On the Dispersion of a Solute by Diffusion, Convection ...
... Distributed Continuum 194 Examples 195 Generalized Background Kinetics 199 Discrete Distributions 201 Distributions of k ... Distribution 214 A General Theorem for Simple, Linear Reactor Models 215 Application to a Model of the Bubbling ...
... distributed.” Lumped variables lead to ordinary equations; distributed variables lead to partial differential equations. 2. When we make a balance to obtain a differential equation, we are invoking a natural law, the conservation of ...
... distribution and a boundary, or feed, value. These are both functions (the first of z because t = 0; the second of t because z = 0) in the distributed system. Of the corresponding quantities, co and cin, in the lumped system, the latter ...
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 |