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It is expected for an increase in flow rate to increase the Kla value and the rate at which butanol is extracted from the reactor because as the flow rate increases, the amount of scCO2 flowing through the reactor increases which creates more bubbles or larger bubbles. These bubbles will have a larger surface area, which will allow for more butanol to be extracted from water at each instance. Although an increased flow rate increases the initial Kla value and extraction rate of butanol, a cost analysis will have to be done to determine if itβs more efficient to use a higher flow rate. 4.4 Theoretical Model Results of Correlations for Kla The results of the theoretical liquid-liquid extraction model for the butanol reactor were attempting to validate the overall Kla value of 0.00018 kg/s obtained from the experimental model and it did so with some assumptions. 4.4.1 Calculation for Kla from Kl and Some Assumptions The first step of this result was finding Kl correlations that modeled our scenario properly and would produce a Kla value with an assumed interfacial area that was reasonable. This was done using the three correlations for liquid-liquid mass transfer in Table 4.2 (Cussler, 2009). Correlation for Kl Equation Kla- value (kg/s) *assumed a-value = 0.0007 m2 (1.1) Large drops β no stirring 3 1 0.5 (4.1)ππ=0.42(π βππ)3(π) π· ππ2 π· 0.000170 (1.2) Small drops β no stirring (4.2) ππ = 1.13 (ππ0)0.8 π·π· 0.000162 (1.3) Gas bubbles β stirring π11 (4.3)ππ =0.13(π4(π))4 (π)3 π· ππ2 π· 0.000208 Experimental model β 0.000180 Table 4.2: Comparison of Kl correlations that will be used for theoretical model 53PDF Image | Extraction of Bio-Butanol using Supercritical Carbon Dioxide
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