Scaling in Series for Gas Flows

The series scaleup of a gas phase reactor requires two ancillary equations that can be deduced from Example 3.5. The form of the equations depends on whether the flow is turbulent or laminar  

These resnlts assnme ideal gas behavior and scaling with a constant valne of t. Set Sr = 1 for scalenp in series. It is assnmed that Pm and Pout are known for the pilot nnit and that a desired ontlet pressnre has been selected for the fnll-scale plant. Typically this will be the same ontlet pressnre as nsed in the pilot plant. Assnme throughput is known. Then the only nnknowns are (Pm)2 and Sr. Solve Eqnation 3.42 (tnrbnlent flow) or 3.44 (laminar flow) for (Pm)2. Then solve Equation 3.43 or 3.45 for Sz,. Example resnlts are given in Table 3.4 for tnrbnlent flow and in Table 3.5 for laminar flow. 

At first glance, these resnlts seem fantastic. Look at the tnrbnlent flow case with throughput = 100. When the pressnre drop across the pilot reactor is large, a mere 47% increase in length gives a 100-fold increase in inventory The pressnre and the density 

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