Gas-Liquid Reactors: Predictions of a Model Respecting the Physics of the Process
Gas-Liquid Reactors: Predictions of a Model Respecting the Physics of the Process
White, Daniel D.
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Up to five steady states are possible in region C where neither condition is satisfied. Each of the conditions, Eqs. E.U and E.18, also yields a yery simple condition for n and y> viz., n >_ Y snd 2n ^ Y • Thus uniqueness is guaranteed for the gas-liquid reactor if n >_ Y or H3 > E . (E.22) That is, the condition 2n ^ y is sufficient to guarantee uniqueness only for the second s-shaped region. This is the result obtained by Raghuram and Shah (1977), Eq. 2,2, using a reactor model which is only ...applicable to the enhanced mass transfer region. In summary we have two strong conditions, Eq. E.9 and Eq. E.15. If both are satisfied for all possible values of the steady state temperature 153 (y-n) (1 + H) ^3 . B, } Figure E.l. An uniqueness condition for a gas-liquid CSTR; S = 0.1. A. uniqueness B. up to three steady states C. up to five steady states 159 in the corresponding region then multiple solutions exist; three solu- tions exist if only one fails and five if both fail. Stated this way, these conditions require the solution to the steady state temperature equation, hence more practical but weaker conditions are found and are given by Eq.
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