Thermodynamics filled in class notes_Part_118

244 chapter 7 kinetics in some more detail in matrix

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Unformatted text preview: C-ND. 18 November 2011, J. M. Powers. 244 CHAPTER 7. KINETICS IN SOME MORE DETAIL In matrix form, we can simplify to d dt ρO ρO2 2 (r13 ). −1 = (7.107) =ν Here the N × J or 2 × 1 matrix ν is 2 . −1 ν= (7.108) Performing row operations, the matrix form reduces to d dt ρO ρO + 2ρO2 2 (r13 ), 0 = (7.109) or 10 12 d dt ρO ρO2 = 2 (r13 ). 0 (7.110) So here the N × N or 2 × 2 matrix L−1 is 10 . 12 L−1 = (7.111) The N × N or 2 × 2 permutation matrix P is the identity matrix. And the N × J or 2 × 1 upper triangular matrix U is 2 . (7.112) U= 0 Note that ν...
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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.

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