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.
|
From inside the book
Results 1-5 of 50
... natural law, the conservation of matter in our case. If the net flux of any conserved quantity into a lumped system over its boundaries is F, the rate of generation within the system is G, and the amount contained in it is H, then the ...
... natural way of defining the residence time, we may want to consider a “very long” reactor, that is, one for which L → Go, and in this case it is not suitable to use it in forming the dimensionless variables. Consider a conserved ...
... natural way of reducing the length and, because the residence time is L/v, the dimensionless time is T = tv/L. Note that, by comparing the two models, 6 = V/q = L/v, Da = k6, and we need the dimensionless dispersion coefficient Pe = vL ...
... naturally from the rearrangement of the enthalpy. Let G = Q(T); then wan(2. on) : aX. {cifh,(T,) – c'h,(T)} + Q(T) (68) or, dividing by q and expanding the derivative of the product. 6X (dold.)h(T)+ 6 {2. *Oankarao (69) S =X (c/h,(T) ...
... natural philosophy (which avoids the danger of being pretentious as long as it observes its etymology). Penn and I tried to tease out “the mere notion of a model” in a paper in the first issue of the journal Mathematical Modelling (now ...
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 |