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.
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From inside the book
Results 1-5 of 47
... 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. The Nonisothermal Stirred Tank 18 ...
... boundaries is F, the rate of generation within the system is G, and the amount contained in it is H, then the balance gives F + G = dH/dt. (21) We shall derive the equations for distributed systems from this equation later. 3. In ...
... boundary, or feed, value. These are both functions (the first of z because t = 0; the second of t because z = 0) in the distributed system. Of the corresponding quantities, co and cin, in the lumped system, the latter is embodied in the ...
... boundary 60. x, y, and z are the space coordinates and t is the time coordinate. Let h = h(x, y, z, t) be its concentration, that is, the amount per unit volume, so that the total amount in a subregion o of Q is HG)=|| h(x,y,z,t) dy (25) ...
... boundary conditions. We shall look at the boundary conditions for this equation in the next section. I want to mention here a very important model introduced by Westerterp and his collaborators" and to do so will revert to the classical ...
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 |