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Tubular chemical reactors: the "lumping approximation" and bifurcation of oscillatory states

Cohen, Donald S. and Poore, Aubrey B. (1974) Tubular chemical reactors: the "lumping approximation" and bifurcation of oscillatory states. SIAM Journal on Applied Mathematics, 27 (3). pp. 416-429. ISSN 0036-1399. doi:10.1137/0127032.

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We study axial heat and mass transfer in a highly diffusive tubular chemical reactor in which a simple reaction is occurring. Singular perturbation techniques are used to derive approximate equations governing the situation. Attention is then focused on the bifurcation of oscillatory states from steady operating characteristics. By means of numerical calculations and phase plane illustrations we follow the bifurcated periodic solution branches along their complete lengths.

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Additional Information:© 1974 Society for Industrial and Applied Mathematics. Received by the editors June 25, 1973. This work was supported in part by the U.S. Army Research Office-Durham under Contract DAHCO-4-68-C-0006 and the National Science Foundation under Grant GP-18471.
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Army Research OfficeDAHCO-4-68-C-0006
National Science FoundationGP-18471
Issue or Number:3
Record Number:CaltechAUTHORS:COHsiamjam74
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12656
Deposited On:18 Dec 2008 03:18
Last Modified:08 Nov 2021 22:31

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