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 88
... Steady States of the Stirred Tank Reactor 252 VV. W. FARR AND R. ARS Introduction 252 The System 254 Discussion I ... Steady-State Bifurcations 287 . The Stability of the Steady States 294 . Hopf Bifurcations 298 : : 6. Homoclinic ...
... steady-state in which qin and qout are kept at the same value q. Although the solution of the equation tells us that the volume is constant, it does not tell us what that constant is until we add an initial condition, V(0) = Vo; then V ...
... steady state is of interest, we set all time derivatives to zero and U becomes irrelevant. There is only one parameter, and the solution that "The dimensionless groups of engineering are commonly designated by two letters, an upper-case ...
... steady state for Da = 2 and various initial conditions. gives the steady-state output is immediate, u, = 1/(1 + Da). (11) We can plot a single curve for the steady-state performance and for any Da we may choose, us [or (1 - us), the ...
... steady state, and v is the difference between the current state from the ultimate steady state in units of the initial value of this difference. Equation (17) shows that this transition takes place exponentially with a rate constant ...
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 |