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 72
... possible steady states during burning, and [113], which raises the question whether a sudden transition to a high rate of reaction will dig a pit in the particle and destroy all semblance of spherical symmetry. If she were to consider ...
... possible. Consider first the single equation, Eq.(5) and ask what it might be used for. We could, for example, ask what the effect of comparing the behavior for various, but still constant, values of cin might be. In this case, the ...
... possible to combine the two equations in one hyperbolic second-order PDE. This has the property of finite wave speed, both boundary conditions at the entrance are easily calculable, and it accounts for some of the phenomena of unmixing ...
... possible, a valuable tool in assessing the reliability of some medieval records. Example 2. The Plug-Flow Tubular Reactor (Reprise) We have seen that the basic P* model has the form of a first-order partial differential Eq. (22) ...
... possible. In addition to the dimensionless (primed) variables of Eq.(89), let v' = 8(gv)"u (91) and K' = e(1 + 0.672 Re”Sc”} = {1 + 0.672 Sc”}k(x') = (1 + a)k(x'). (92) Then Re = v'x' = x”, dz'/dt = v' = 30 CHAPTER 2/MANIPULATION ...
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 |