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 74
... Variable Model 186 Conclusions 187 References 188 G. Reactions in Continuous Mixtures 189 RUTHERFORD ARS Introduction 189 General Formulation for a Single Index 191 Parallel Reaction in a Doubly Distributed Continuum 194 Examples 195 ...
... )/Da - u. (19) To unpack the result completely, we go back to the original variables and have c(t) = cin{1 - exp(-(1/6 + k)t)}/(1 + k6) + coexp(-(1/6 + k)t. (20) REVIEW OF THE SIMPLEST EXAMPLE Let us go over the A VERY SIMPLE EXAMPLE 7.
... variables sufficient to describe the situation. This choice is tentative, for we may need to omit some or recruit others at a later stage (e.g., if V is constant, it can be dismissed as a variable). In general, variables fall into two ...
... variables dimensionless must be capable of being held constant; B. If a parametric study of the effect of some quantity is to be done, that quantity should appear in the numerator of one and only one of the dimensionless parameters. THE ...
... variables. Consider a conserved quantity in a three-dimensional region Q, with boundary 60. x, y, and z are the space coordinates and t is the time coordinate. Let h = h(x, y, z, t) be its concentration, that is, the amount per unit ...
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 |