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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... ) 61 Moments and Generating Functions 64 Observing Conditions 67 Example 19. Solvability Conditions 67 Example 20. Conditions Easily Overlooked or Hidden 69 4 Presenting the Model and its Behavior The Phase Plane viii CONTENTS.
... Plane 76 Example 16. The Gray–Scott Reaction (Reprise) 81 Oscillations in Three Dimensions 87 Forced Oscillations and the Stroboscopic Phase Plane 88 The Excitation Diagram 90 5 Maxims for Modelers Text 93 6 Style Literary Style 96 ...
... planes at z and z + dz, or to the whole section from the entrance to z. In the first case, F = -va (c(z + dz, t) -c(z, t)} = -v(8c/02)Adz, G = -kc(z, t)Adz and H = c(z, t)Adz. Then, applying Eq. (21) and dividing by Adz, we have (8c/6t) ...
... plane whose normal is in the direction (l, m, n) is lí + mf, + nf = f. n. Thus the net flux into the region o is F(t) = | |f(x,y,z,t)-nds. (27) where n is the outwardly directed normal to the surface of o, of which dS is the surface ...
... plane moving with the mean speed of flow. In the case of a flat profile, v = (v) and (j) = 0. If there is a variation of flow profile or longitudinal mixing, (j) is not zero and might be called the dispersive flux because it acts to ...
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 |