Thermodynamics filled in class notes_Part_132

# Thermodynamics filled in class notes_Part_132 - 7.2...

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Unformatted text preview: 7.2. ADIABATIC, ISOCHORIC KINETICS 271 7.2.1.3 Dimensionless form Let us try writing dimensionless variables so that our system can be written in a compact dimensionless form. First lets take dimensionless time τ to be τ = at. (7.312) Let us take dimensionless species concentration to be z with z = ρ A hatwide ρ A . (7.313) Let us take dimensionless temperature to be θ with θ = T T o . (7.314) Let us take dimensionless heat release to be q with q = h o T o ,A − h o T o ,B c v T o . (7.315) Let us take dimensionless activation energy to be Θ with Θ = E RT o . (7.316) And let us take the dimensionless entropy change to be σ with σ = ( s o T o ,A − s o T o ,B ) c v . (7.317) So our equations become dz dτ = − exp parenleftbigg − Θ θ parenrightbiggparenleftbigg z − 1 K c (1 − z ) parenrightbigg , (7.318) θ = 1 + (1 − z ) q, (7.319) K c = exp parenleftbigg 1 k − 1 1 θ ( q − θσ ) parenrightbigg . (7.320) It is more common to consider the products. Let us define for general problemsIt is more common to consider the products....
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Thermodynamics filled in class notes_Part_132 - 7.2...

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