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 94
... Equations for Distributed Systems 10 Boundary Conditions 13 Example 3. The Danckwerts Boundary Conditions 13 Respecting Uniformity 15 Example 4. Two-Phase Reactor, One-Phase Uniform 15 Extensive and Intensive Quantities 18 Example 5 ...
A Chemical Engineer's Perspective Rutherford Aris. 2 Manipulation of Models Getting Rid of Unnecessary Equations 26 Example 6. Multiple Reactions in a C* 26 The Reduction of the Equations to Dimensionless Form 28 Example 7. The ...
... equations. Allusions may be made to difference, stochastic, difference-differential, and differential-algebraic equations, but no general theory will be presented for them. This book can be used in a number of different ways, to explain ...
... 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 sight. But this will seldom be the case, and it will pay to work the equations into the most ...
... equations; distributed variables lead to partial differential equations. 2. When we make a balance to obtain a differential equation, we are invoking a natural law, the conservation of matter in our case. If the net flux of any ...
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 |