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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... limit cycle. Figure 20 shows how this limit cycle shrinks as the single steady state, B, moves toward stability. At first I thought that stability for B would be attained by the limit cycle shrinking to zero. However, this is a ...
... limit-cycle with increasing control. FIGURE 19 Phase-plane of a C* controlled about the unstable steady state (initially a saddle-point) by cooling proportional to the temperature. i t I 1.8 2.0 2.2. THE PHASE PLANE 77.
A Chemical Engineer's Perspective Rutherford Aris. TAJ FIGURE 20 variation of the limit-cycle with increasing control. The steady state is stable when a = 2.25, but the limit-cycle has not yet shrunk onto the point. way. However, their ...
... LIMIT CYCLE S|- 5d *------ 5e •- - - - - UNSTABLE LIMIT CYCLEmi- > m; ... --> m or a EWAPORATION --- --0. "H: *>00 A || C F || 3 || A A C E J D G B |\ . *s, IIIC B I #" • * * * * s -->|- | 18- a , KeefixED . . . . ----1* , 5c Ło y ma ...
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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 |