Complex Reaction with Segregation in a Semi-Continuous Reactor
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Consider the complex reaction scheme in a semi-continuous reactor:  (desired reaction) and  (undesired reaction). The governing equations in their dimensionless form are:  ,  ,  ,  , where  for  and  for  ,  is the Damköhler number,  is the reactor residence time,  is the dimensionless mixing time,  is the mixing time,  is dimensionless time,  is the dimensionless concentration of species ,  is the initial concentration ratio,  is the degree of segregation,  and  are the rate constants of the two reactions, and  is the ratio of the two reaction rate constants. The initial conditions are:  , and  . We define the selectivity by  so that when  no desired product  is obtained. This Demonstration displays the selectivity  as a function of the dimensionless time  for various values of  ,  ,  , and  . Lower values of  (i.e., that give more of the desired product  ) are obtained when: 1.  ,  , and  are fixed and  is increased 2.  ,  , and  are fixed and  is decreased 3.  ,  , are fixed and  and  is decreased 4.  ,  , and  are fixed and  is decreased |
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 J. Ingham, I. J. Dunn, E. Heinzle, and J. E. Prenosil, Chemical Engineering Dynamics, 2nd ed., Weinheim, Germany: Wiley-VCH, 2000 pp. 452–453.
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