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Unformatted text preview: 5.5. CHEMICAL KINETICS OF A SINGLE ISOTHERMAL REACTION 183 The three roots are N 2 = 0 kmole m 3 bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright unstable , . 00178121 kmole m 3 bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright stable , . 00225611 kmole m 3 bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright unstable . (5.317) By inspection of the topology of Fig. 5.2, the only stable root is 0 . 00178121 kmole m 3 . This root agrees with the equilibrium value found in an earlier example for the same problem conditions. Small perturbations from this equilibrium induce the forcing function to supply dynamics which restore the system to its orig- inal equilibrium state. Small perturbations from the unstable equilibria induce non-restoring dynamics. For this root, one can then determine that the stable equilibrium value of N = 0 . 000446882 kmole m 3 . One can examine this stability more formally. Define an equilibrium concentration eq N 2 such that f ( eq N 2 ) = 0 . (5.318) Now perform a Taylor series of f ( N 2 ) about N 2...
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This note was uploaded on 11/26/2011 for the course EGN 3381 taught by Professor Park-sou during the Fall '11 term at FSU.
- Fall '11