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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... give the reader immediate access to any topic. Method and manner are the themes of the first six chapters and a score of illustrative examples are woven into this part, allowing me to refer to papers that are not suitable for ...
... gives d(pV)/dt 2: p(qin - qou) (1) and this equation simplifies to dV/dt = (qin - Qout). (2) If, in addition, qin = qout = q, then the volume in the reactor is constant. Let us pause and consider just what assumptions we have made. The ...
... 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 conversion] is immediately calculable or can be read off ...
... gives an equation that can be solved for c1 and written in the form c1 = (c.) – (UR2/24D){2 – 6(r/R)” + 3(r/R)*}(0(c)/0z). Substituting this into Eq. (32), we get Taylor's result, ji = (j) = -D.(8(co)/0z), D = R*U*/48D. (37) By going ...
... gives 6c/ðt + U(0c/0z) + (ój/0z) + kc = 0 (39) D.(8c/öz) + r(ój/ôt + (1 + A)U(ój/óz)} + kti = 0, where t is a relaxation time and A the ratio of a drift velocity to the mean velocity U. It is possible to combine the two equations in one ...
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 |