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 82
... FIGURE I The approach to the steady state for Da = 2 and various 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 ...
... FIGURE 2 Finite and infinitesimal balances on the plug flow reactor P*. This is true for an arbitrary section of the reactor, and it follows that, if the integrand is continuous, the integrand must also vanish everywhere (Fig. 2). For ...
... FIGURE 5 Exit concentrations as functions of Da for the homotopic family R*. * V. Balakotaiah has pointed out that T ... FIGURE. 40 60 80 100 Ca FIGURE 4 Exit concentrations as functions of Da for five reactors. O 4 8 12 16 20 - FIGURE 7 ...
... FIGURE 7 Exit concentrations as functions of Da for the homotopic family T". FIGURE 9 Effectiveness factor as a function of the normalized. 1 | 0.1 Ul 0.01 0.001 O 4 8 12 16 20 ta. This Page Intentionally Left Blank 24 CHAPTER 1/WHAT IS ...
... FIGURE 9 Effectiveness factor as a function of the normalized Thiele modulus. Tr FIGURE 12 Evolution of the probability density of proportionality. This Page Intentionally Left Blank 38 CHAPTER 2/NAANIPULATION 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 |