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Residence Time Distribution and Conversion Calculations for Tanks in Series Model
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Department: | Chemical Engineering |
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2004-11-08
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Expression of the Residence Time Distribution for the tanks_in_series model, derived by MacMullin and Weber (1935) (see Chemical Reaction Engineering, O. Levenspiel, 3rd Edition, Wiley,1999, pages 323), are plotted for a number of tanks equal to 1, 2, 3, 5, 10, 20, 50 and 100. RTD is also computed form tracer pulse input for a number of tanks equal to 50. In such case, the RTD is the outlet tracer concentration versus time curve. Both methods give the same results that are given in the notebook RTD_binous_no_reaction.nb . Conversion are computed using the RTD from MacMullin and Weber's derivation (1935) and expressions from Chemical Reaction Engineering, O. Levenspiel, 3rd Edition, Wiley, 1999, pages 323 and 345. A 50 tanks in series case is considered. First, second and zero order reactions are treated. The notebooks (RTD_binous_1_order.nb, RTD_binous_2_order.nb, RTD_binous_0_order) also show how one can obtain the exit concentration and the conversion by solving the system of ordinary differential equations verified by the problem .
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Residence Time Distribution, RTD, tanks in series model, conversion, tracer pulse, input, outlet tracer concentration
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| RTD_binous_0_order.nb (50.5 KB) - Mathematica Notebook [for Mathematica 5.0] | | RTD_binous_1_order.nb (53.6 KB) - Mathematica Notebook [for Mathematica 5.0] | | RTD_binous_2_order.nb (54.9 KB) - Mathematica Notebook [for Mathematica 5.0] | | RTD_binous_no_reaction.nb (166.5 KB) - Mathematica Notebook [for Mathematica 4.2] |
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