Mathematical Modeling: A Chemical Engineer's PerspectiveElsevier, 16 jul 1999 - 479 pagina's 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.
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Inhoudsopgave
MATTER | 105 |
MISCELLANEA | 417 |
BIBLIOGRAPHY | 455 |
INDEX OF GRADUATE STUDENTS AND COAUTHORS | 467 |
SUBJECT INDEX TO THE PAPERS IN THE BIBLIOGRAPHY | 469 |
INDEX | 473 |
Overige edities - Alles bekijken
Mathematical Modeling: A Chemical Engineer's Perspective Rutherford Aris Geen voorbeeld beschikbaar - 1999 |
Veelvoorkomende woorden en zinsdelen
amplitude Amundson analysis Aris Astarita asymptotic autocatalytic autonomous Balakotaiah beauty behaviour bifurcation diagram catalyst Chem Chemical Engineering chemical kinetics chemical reactor concentration continuous mixtures CSTR differential equations diffusion coefficient dimensionless dispersion distribution dynamics eigenvalues Engng Sci equilibrium example first-order fixed point Floquet multipliers flow forced oscillations function gives heat homoclinic bifurcation Hopf bifurcation Hopf curve initial integral invariant circle Jacobian Kevrekidis kinematic wave kinetics limit cycle linear Luss mathematical modeling matrix method multiple node nonlinear obtained paper parameter particle period doubling periodic trajectories periodically forced phase plane phase portrait problem quasi-periodic rate constant reactant reaction rate region Reprint resonance horn root saddle saddle-node bifurcation shows singularity singularity theory species stable steady steady-state stirred tank stoicheiometric stroboscopic stroboscopic map surface Taylor temperature theorem theory tion torus tube unstable unstable manifolds variables velocity volume zero
Populaire passages
Pagina 367 - ... kingdom of daylight's dauphin, dapple-dawn-drawn Falcon, in his riding Of the rolling level underneath him steady air, and striding High there, how he rung upon the rein of a wimpling wing In his ecstasy! then off, off forth on swing, As a skate's heel sweeps smooth on a bow-bend: the hurl and gliding Rebuffed the big wind. My heart in hiding Stirred for a bird, — the achieve of, the mastery of the thing!
Pagina 20 - We are to admit no more causes of natural things than such as are both true and sufficient to explain their appearances. To this purpose the philosophers say that Nature does nothing in vain, and more is in vain when less will serve; for Nature is pleased with simplicity, and affects not the pomp of superfluous causes.
Pagina 400 - O Attic shape! Fair attitude! with brede Of marble men and maidens overwrought, With forest branches and the trodden weed; Thou, silent form, dost tease us out of thought As doth eternity: Cold Pastoral! When old age shall this generation waste, Thou shalt remain, in midst of other woe Than ours, a friend to man, to whom thou say'st, "Beauty is truth, truth beauty," — that is all Ye know on earth, and all ye need to know.
Pagina 405 - Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture...
Pagina 103 - It gathers to a greatness, like the ooze of oil Crushed. Why do men then now not reck his rod? Generations have trod, have trod, have trod; And all is seared with trade; bleared, smeared with toil; And wears man's smudge and shares man's smell: the soil Is bare now, nor can foot feel, being shod. And for all this, nature is never spent; There lives the dearest freshness deep down things...
Pagina 402 - There are waters blown by changing winds to laughter And lit by the rich skies, all day. And after, Frost, with a gesture, stays the waves that dance And wandering loveliness. He leaves a white Unbroken glory, a gathered radiance, A width, a shining peace, under the night.
Pagina 364 - You meaner beauties of the night, That poorly satisfy our eyes More by your number than your light, You common people of the skies; What are you when the moon shall rise?
Pagina xii - Fie, my lord, fie ! a soldier, and afeard? What need we fear who knows it, when none can call our power to account? Yet who would have thought the old man to have had so much blood in him? Doct. Do you mark that? Lady M. The thane of Fife had a wife; where is she now? What, will these hands ne'er be clean? No more o' that, my lord, no more o' that: you mar all with this starting.
Pagina 70 - An optimal policy has the property that whatever the initial state and initial decision are, the remaining decisions must constitute an optimal policy with regard to the state resulting from the first decision.
Pagina 407 - St Agnes' Eve — Ah, bitter chill it was! The owl, for all his feathers, was a-cold ; The hare limp'd trembling through the frozen grass, And silent was the flock in woolly fold : Numb were the Beadsman's fingers, while he told His rosary, and while his frosted breath, Like pious incense from a censer old, Seem'd taking flight for heaven, without a death, Past the sweet Virgin's picture, while...