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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... constant. Let us pause and consider just what assumptions we have made. The conservation of mass is a general ... constant, it does not tell us what that constant is until we add an initial condition, V(0) = Vo; then V(t) = V0. When q ...
... (constant volume). These three elements will be found in the setting up of any model. The differential equation for c has an initial value c(0) = co, and the equations are so elementary that the solution could be almost written down at ...
... constant that is the sum of the rate constants for convection and reaction. This is very satisfying intellectually. We feel that we have grasped the totality of the reactor's behavior. And so we have, although in an example as simple as ...
... constant and c(z, 0) and c(0, t) are given, the solution of this equation is c(z, t) = c(z - thy, 0). exp(-kt), vt < z, = c(0, t-z/v). exp(-kz/v), z < vt. (30) When any quantity a varies over the cross-section, we can define an average ...
... constant volume, V = q6 [as in Eq.(5)], the state can be characterized by the S concentrations c, (moles per unit volume) and the temperature T. Let r = r(c., T) be the reaction rate in moles per unit volume per unit time, then for A ...
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 |