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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... Linear Systems 40 Example 12. The Bubbling Fluidized Bed 40 3 Solving the Equations Getting a Feel for the Solution 45 Example 13. Two Populations Growing in a Chemostat Competing for a Common Nutrient 45 Special Forms 49 Example 14 ...
... Linear Kinematic Waves 136 RUTHERFORD ARIS 1. Introduction 136 2. The Dispersion of a Flood Wave 137 3. General Theorems 140 4. A Kinematic Temperature Wave 140 5. The Ultimate Form of a Kinematic Wave 144 References 146 8 Formal ...
... Linear Reactor Models 215 Application to a Model of the Bubbling Fluidized Bed 215 The Damköhler Number 218 The Fluid Bed with Astarita's Uniform Kinetics 220 Nomenclature 221 References 223 9 STATICS AND DYNAMICS OF CHEMICAL REACTORS ...
... linear, c is proportional to cin. If we take cin as the characteristic concentration, then u = c/cin (6) and we have a dimensionless concentration u(t) satisfying 6(du/dt) = 1 - u – 6ku, u(0) = co/cin. (7) We have already seen that 6 is ...
... linear kinematic waves (Chapter 7, pp. 136, [7] = C, see also [3b] and [314]) brings out another shape factor, this * D. Luss and N. R. Amundson. “On a conjecture of Aris: Proof and remarks” A.I.Ch.E. J. 13,739–743 (1967). time for 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 |