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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... RUTHERFORD ARIS 1. Introduction 170 2. The Uniqueness of Equilibrium under Adiabatic Conditions 171 3. The Consistency of Certain Kinetic and Equilibrium Expressions 172 4. Reaction Mechanisms and Exact Sequences 174 5. Of Chemical ...
... expressing F, G, and H in terms of the dependent variables, we use certain properties of the materials involved (e.g., that the reaction is first order, so G = Vkc). These are sometimes called constitutive relations because they invoke ...
... be used for the transient case (we only gave up the time derivative in the interests of clarity), for nonlinear kinetic expressions, and for the energy equation in a nonisothermal CHAPTER I./WHAT IS MATHEN1ATICAL MODELING!
A Chemical Engineer's Perspective Rutherford Aris. kinetic expressions, and for the energy equation in a nonisothermal situation. You might feel that we have only established these boundary conditions for a limiting case, but this is not ...
... expression on dull days. They are invaluable as means of checking one's estimates, but it takes half the joy of mathematical modeling away if one resorts to them too readily. We discuss here various aspects of the manipulation of models ...
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 |