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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... side of the equation, |||shlott Af–glav =0, and the same argument can be used to show that. THE GENERAL BALANCE EQUATIONS FOR DISTRIBUTED SYSTEMS 40 60 80 100 Ca FIGURE 4 Exit concentrations as. |0 CHAPTER ||WHAT IS MATHEN1ATICAL MODELING ...
... side must equal the flux away from it on the other. Thus, [f]. n = 0, where [f] = (f - fe-, fy, - fy-, f. , = f; ). (29) Let us apply Eq. (28) to an important generalization of P* in which the z-coordinate is parallel to the axis of a ...
... side of this equation could be written 6C,(dT/dt), where C, is the total heat capacity per unit volume. Also, by multiplying each of the equations in (57) by the corresponding h; and subtracting from (59), we have 6C (dT/dt) =>''{h(T) ...
... side of the differential equation for 4. The depth was calculated from the point at which the extrapolated hydrostatic pressure is zero, so that if P is the pressure at the surface, the equations must be integrated until m = P/p” = P ...
... side that allows us the freedom to use any residence time distribution. The reaction term, which we made first order for simplicity, can be nonlinear. A discussion of various generalizations is given in [310]. 3 - SOLVING THE EQUATIONS ...
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 |