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 64
... Initial Distributions of Solute 115 The General Case 116 Turbulent 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 ...
... initial condition, V(0) = Vo; then V(t) = V0. When q and V are constant, their quotient, V/q = 6, is called the residence time and its reciprocal is called the space velocity. Now suppose the feed contains a reactant A that irreversibly ...
... initial value c(0) = co, and the equations are so elementary that the solution could be almost written down at sight. But this will seldom be the case, and it will pay to work the equations into the most transparent form possible ...
... initial conditions. gives the steady-state output is immediate, u, = 1/(1 + Da). (11) We can plot a single curve for the steady-state performance and for any Da we may choose, us [or (1 - us), the conversion] is immediately calculable ...
... initial value of this difference. Equation (17) shows that this transition takes place exponentially with a rate constant that is the sum of the rate constants for convection and reaction. This is very satisfying intellectually. We feel ...
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 |