This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 7.1. ISOTHERMAL, ISOCHORIC KINETICS 257 We find three finite roots to this problem: 1 : ( NO , N ) = ( 1 . 605 10 6 , 3 . 060 10 8 ) mole cm 3 , nonphysical , (7.211) 2 : ( NO , N ) = ( 5 . 173 10 8 , 2 . 048 10 6 ) mole cm 3 , nonphysical , (7.212) 3 : ( NO , N ) = (7 . 336 10 7 , 3 . 708 10 8 ) mole cm 3 , physical . (7.213) Obviously, because of negative concentrations, roots 1 and 2 are nonphysical. Root 3 however is physical; moreover, it agrees with the equilibrium we found by direct numerical integration of the full nonlinear equations. We can use local linear analysis in the neighborhood of each equilibria to rigorously ascertain the stability of each root. Taylor series expansion of Eqs. (7.2077.208) in the neighborhood of an equilibrium point yields d dt ( NO e NO ) = f NO  e bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright =0 + f NO NO vextendsingle vextendsingle...
View
Full
Document
This note was uploaded on 11/26/2011 for the course EGN 3381 taught by Professor Parksou during the Fall '11 term at FSU.
 Fall '11
 ParkSou
 Dynamics

Click to edit the document details