Mathematical Modeling: A Chemical Engineer's Perspective (Volume 1) (Process Systems Engineering, Volume 1)

Aris (chemical engineering, University of Minnesota) introduces the art of building a system of equations which is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Reprints of 17 of the author's papers, the bulk of the volume, illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. Content: Prefacep Pages xvii-xxi What is mathematical modeling? Original Research Article Pages 3-24 Manipulation of models Original Research Article Pages 25-43 Solving the equations Original Research Article Pages 45-73 Presenting the model and its behavior Original Research Article Pages 75-92 Maxims for modelers Original Research Article Pages 93-94 Style Original Research Article Pages 95-103 Dispersion in flow Original Research Article Pages 107-108 A. On the dispersion of a solute in a fluid flowing through a tube Original Research Article Pages 109-120 R. Aris B. On the dispersion of a solute by diffusion, convection, and exchange between phases Original Research Article Pages 121-135 R. Aris C. On the dispersion of linear kinematic waves Original Research Article Pages 136-146 Rutherford Aris Formal kinetics Original Research Article Pages 147-148 D. Prolegomena to the rational analysis of systems of chemical reactions Original Research Article Pages 149-169 Rutherford Aris E. Prolegomena to the rational analysis of systems of chemical reactions II. Some addenda Original Research Article Pages 170-179 Rutherford Aris F. Modelling cubic autocatalysis by successive bimolecular steps Original Research Article Pages 180-188 R. Aris, P. Gray, S.K. Scott G. Reactions in continuous mixtures Original Research Article Pages 189-210 Rutherford Aris H. Reaction of a continuous mixture in a bubbling fluidized bed Original Research Article Pages 211-224 N.R. Amundson, R. Aris Statics and dynamics of chemical reactors Original Research Article Pages 225-226 I. Some common features of periodically forced reacting systems Original Research Article Pages 227-251 I.G. Kevrekidis, L.D. Schmidt, R. Aris J. Yet who would have thought the old man to have had so much blood in him?: Reflections on the multiplicity of steady states of the stirred tank reactor Original Research Article Pages 252-281 W.W. Farr, R. Aris K. Autonomous bifurcations of a simple bimolecular surface-reaction model Original Research Article Pages 282-306 M.A. Mckarnin, R. Aris, L.D. Schmidt L. Forced oscillations of a self-oscillating bimolecular surface reaction model Original Research Article Pages 307-333 M.A. Mckarnin, L.D. Schmidt, R. Aris Mass and heat transfer Original Research Article Pages 335-336 M. An example of the relation between discrete and continuous models Original Research Article Pages 337-344 N. A general theory of anisotropic membranes Original Research Article Pages 345-358 R. Aris, E.L. Cussler Modeling in general Original Research Article Pages 359-360 O. Of chemical engineering and the liberal arts: An inaugural for the olaf hougen visiting professorship october 3, 1979 Original Research Article Pages 361-373 P. Two eyes are better than one: Some reflections on the importance of haying more than one viewpoint in mathematical modelling and other disciplines Original Research Article Pages 374-399 R. Aris Q. Reflections on keats' equation Original Research Article Pages 400-414 Rutherford Aris R. Chemical engineering greetings: Universitatis minnesotensis collegium fabrorum chymicorum sodales princetonienses, nunc annum eorum quinquagesimum feliciter agentes, gratulatur, magno cum gaudio, gratuito cum consilio, veniamque w. s. gilberti poscens Original Research Article Pages 415-416 Acknowledgments: An autobiographical appendix with asides Original Research Article Pages 419-453 Bibliography Pages 455-466 Index of graduate students and Co-Authors Pages 467-468 Subject index to the papers in the bibliography Pages 469-472 Index Pages 473-479 Mathematical 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.


* Describes pitfalls as well as principles of mathematical modeling
* Presents twenty examples of engineering problems
* Features seventeen reprinted papers
* Presents personal reflections on some of the great natural philosophers
* Emphasizes modeling procedures that precede extensive calculations Mathematical 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. * Describes pitfalls as well as principles of mathematical modeling * Presents twenty examples of engineering problems * Features seventeen reprinted papers * Presents personal reflections on some of the great natural philosophers * Emphasizes modeling procedures that precede extensive calculations "Mathematical modeling is the art and craft of building a system of equations which is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. This book provides an elementary introduction to the craft by one of the profession's most distinguished practitioners. Though written from a chemical engineering viewpoint, the text presents principles and pitfalls common to all mathematical modeling of physical systems."--Jacket