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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... space velocity. Now suppose the feed contains a reactant A that irreversibly goes to a product B. Let cin be the concentration of A in the feed and c its concentration both in the tank and the effluent (the assumption of good mixing ...
... space coordinates and t is the time coordinate. Let h = h(x, y, z, t) be its concentration, that is, the amount per unit volume, so that the total amount in a subregion o of Q is HG)=|| h(x,y,z,t) dy (25) Similarly, g(x, y, z, t) is the ...
... space (or a line in a two-dimensional space, or a point in a one-dimensional space), the flux normal to the surface must be continuous, for the surface has no capacity to hold anything or volume to generate anything. Because there can ...
... 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. Benneker, and A. E. Kronberg. Wave model for longitudinal dispersion ...
... space. [See J (pp. 18–22) for a further discussion of this point.] *J. M. Smith. Models in Ecology. Cambridge: Cambridge Univ. Press. Cambridge, U.K., 1974. The subject of the value of mathematical modeling in nonscientific GENERAL ...
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 |