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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... Dispersion in Flow A. On the Dispersion of a Solute in a Fluid Flowing through a Tube 109 R. ARIS Introduction 109 The General Equations of Diffusion and Flow in a Straight Tube 110 The Tube of Circular Cross-Section 111 Some Special ...
... Dispersion of 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 ...
... dispersion model for P*, and the aim of investigating more complex situations has often been to reduce them to this form with D = D., an effective dispersion coefficient that wraps up the complexities of the underlying situation in a ...
... dispersion as well as on convection, then, because there is only one-space dimension, f = vac - DA(dc/dz), where D is a dispersion coefficient. Then, as the assumption of steady state eliminates * Westerterp, K. R., V. V. Dil'man, A. H. ...
... dispersion coefficient Pe = vL/D. The limit we want is then Pe = 0. With u(3) = c(z)/cm and U= cproduct/cin (1/Pe)(d°uld!”) – (du/dt) – Da u = 0 (43) with the boundary conditions u - (1/Pe)(du/dŁ) = 1 at # = 0 and u - (1/Pe)(du/d?) = U ...
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 |