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 74
... Diffusion and First-Order Reaction 36 A Priori Estimates 39 Example 11. The Nonisothermal Catalyst Pellet 39 Scaling and Partial Solution in Linear Systems 40 Example 12. The Bubbling Fluidized Bed 40 3 Solving the Equations Getting a ...
... Diffusion and Flow in a Straight Tube 110 The Tube of Circular Cross-Section 111 Some Special Initial Distributions ... Diffusion, Convection, and Exchange between Phases |2| R. ARIS 1. Introduction 121 2. Dispersion in Coaxial ...
... diffusion but merely a first-order reaction; then h = c(x, y, z, t), f = c(x, y, z, t)v(x, y), f, = f = 0, g = -kc(x, y, z, t), and so 6c/ôt + v(óc/öz) + kc = 0. (22 bis) In the simplest P*, when v is a constant and c(z, ...
... diffusion and reaction in an isothermal porous catalyst pellet. Example 9. The Spherical Catalyst Particle Take the pellet to be a sphere with r the distance from the center and R the outside radius. If c(r) is the concentration as a ...
... RT. The full process of getting the simplest set of equations for a set of independent reactions is covered in great detail in Chapter 2 of [I, Vol. 1]. number, for the intensity of reaction relative to diffusion; u SCALING 35.
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 |