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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Results 1-5 of 47
... corresponding quantities, co and cin, in the lumped system, the latter is embodied in the ordinary differential equation itself and the former is the initial value. If we want to avoid the use of infinitesimals, we may certainly do the ...
... corresponds to the steady-state equation if the average value of u is the same as the product U and, hence, with the solution of the equation. But if u(1) = U, then, by the second boundary condition, dc/d/ = 0. This is Danckwerts' exit ...
... corresponding h; and subtracting from (59), we have 6C (dT/dt) =>''{h(T) = h(t)+ 62 (ah)r Q(T)/q. (70) Now Xi'ah) is the heat of reaction AH because it is the difference between the enthalpy of the products and that of the reagents. For ...
... correspond to the initial conditions. On substituting this into Eq. (57) and dividing through by ay, we have {6(d£/dt) + & – 6r(£, T)} + [(co – cy)/a;|{6(dA/dt) + g] = 0. (76) Now not all the factors [(cio - cy)/oj} are equal, for ...
... Corresponding to equations (123–125) for the sphere, we would have, thanks to the reduction described in Chapter 2 and the example of a first-order nonisothermal reaction given by Eq. (129), d'u/dx^ = p^G(u) in (0, 1) (194) u'(0) = 0, u ...
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 |