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 85
... 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 letter followed by a lower-case letter. They are the only ...
... zero at every point of continuity. We therefore have at every point of continuity in Q 6hlót + (0f/0x + of /öy + of:/0z) = g. (28) Of course, we have to express f, g, and h in terms of a common variable, u for example, by means of a ...
... zero, L[(co)] = Mc1]. (35) However, the solubility condition (see the section entitled “Observing Conditions” in this chapter for more detail) that must be imposed is easily seen to be that the average of L[(co)] must be zero and 6(co)/ ...
... zero. Thus in the simple example used in Example 1, we did not make our balance on the concentration, moles per unit volume = c, but on the amount, moles = Vc. A function, f(x1, x2, ...xn), of n variables is called homogeneous of degree ...
... zero, and this implies (by a well-known result attributed to Euler, quoted previously) that 2, c;(0hp/8c) = 0. (72) Thus, a potentially messy term vanishes. GENERAL OBSERVATIONS ON FORMING THE MODEL We have now had EXTENSIVE AND ...
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 |