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
Results 1-5 of 79
... Limit Cycles 183 4. Comparison of First-Order Equations with Full, Three-Variable Model 186 Conclusions 187 References 188 G. Reactions in Continuous Mixtures 189 RUTHERFORD ARS Introduction 189 General Formulation for a Single Index ...
... Limit e – 0 344 N. A General Theory of Anisotropic Membranes 345 R. ARS AND E. L. CUSSLER Introduction 345 Exponential Dependence 346 Designing for Maximum Anisotropy 350 Application 353 Anisotropy with a General Concentration ...
... limit it is a stirred tank. We should therefore be able to get the equations for the stirred tank as a limiting case. At this point, we should really work in dimensionless variables. # = z/L is a natural way of reducing the length and ...
... limit of very great dispersion, the tubular system becomes a stirred tank is the Danckwerts pair." RESPECTING UNIFORMITY There is a subtle point that must be understood in setting up the equations for systems that are both lumped and ...
... limits of what is possible, a valuable tool in assessing the reliability of some medieval records. Example 2. The Plug-Flow Tubular Reactor (Reprise) We have seen that the basic P* model has the form of a first-order partial ...
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 |