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 89
... 18 Example 5. The Nonisothermal Stirred Tank 18 General Observations on Forming the Model 20 Example 2. The Plug-Flow Tubular Reactor (Reprise) 22 2 Manipulation of Models Getting Rid of Unnecessary Equations 26 vii CONTENTS.
... 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, and Exchange between Phases |2| R. ARIS 1. Introduction 121 ...
... flows and out of which a product stream comes. We shall assume that the densities of the two streams and the contents of the reactor are all the same, say p. If the volumetric flow rates in and out are qin and qout, Mathematical ...
... flows in and the rate at which mass flows out. The assumption that the density is the same in all three terms is of a rather different character, for it says something about the constitution of the specific substances involved, not ...
... flow, for it could be written Vkclac, the numerator being the rate of disappearance of A by reaction and the denominator its disappearance by outflow. Just as k is a first-order rate constant, so also can (1/6) be regarded as a ...
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 |