TY - JOUR
T1 - Mathematical modeling and steady‐state analysis of a scheibel extraction column
AU - Alatiqi, I.
AU - Aly, G.
AU - Mjalli, F.
AU - Mumford, C. J.
PY - 1995/8
Y1 - 1995/8
N2 - The steady‐state behavior of a nine‐stage Scheibel extraction column was modeled and simulated using a back flow stagewise model. Steady‐state experiments were conducted, using the system water‐acetone‐toluene, for three phase ratios and three agitator speeds. The mathematical model was validated with the experimental concentration profiles by a single parameter fitting technique with an unconstrained optimization algorithm. Steady‐stage analysis of the experiments was performed for a further control study. The calculated steady‐state gain matrices were used for interaction analysis using different steady‐state analysis methods, e.g. Bristol numbers, Condition numbers, Morari Indexes of Integral Controllability, and Niederlinski Indexes. The results indicate that both agitator speed and phase ratio have a substantial influence on the control structure. Dynamic analysis should therefore be performed to verify the optimum control method for this process.
AB - The steady‐state behavior of a nine‐stage Scheibel extraction column was modeled and simulated using a back flow stagewise model. Steady‐state experiments were conducted, using the system water‐acetone‐toluene, for three phase ratios and three agitator speeds. The mathematical model was validated with the experimental concentration profiles by a single parameter fitting technique with an unconstrained optimization algorithm. Steady‐stage analysis of the experiments was performed for a further control study. The calculated steady‐state gain matrices were used for interaction analysis using different steady‐state analysis methods, e.g. Bristol numbers, Condition numbers, Morari Indexes of Integral Controllability, and Niederlinski Indexes. The results indicate that both agitator speed and phase ratio have a substantial influence on the control structure. Dynamic analysis should therefore be performed to verify the optimum control method for this process.
KW - Scheibel column
KW - liquid‐liquid extraction
KW - mathematical model
KW - steady‐state analysis
KW - variable pairing
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U2 - 10.1002/cjce.5450730413
DO - 10.1002/cjce.5450730413
M3 - Article
AN - SCOPUS:0029347269
SN - 0008-4034
VL - 73
SP - 523
EP - 533
JO - Canadian Journal of Chemical Engineering
JF - Canadian Journal of Chemical Engineering
IS - 4
ER -