Scaleup factor for throughput

If the pilot reactor is turbulent and closely approximates piston flow, the larger unit will as well. In isothermal piston flow, reactor performance is determined by the feed composition, feed temperature, and the mean residence time in the reactor. Even when piston flow is a poor approximation, these parameters are rarely, if ever, varied in the scaleup of a tubular reactor. The scaleup factor for throughput is S. To keep t constant, the inventory of mass in the system must also scale as S. When the fluid is incompressible, the volume scales with S. The general case allows the number of tubes, the tube radius, and the tube length to be changed upon scaleup ... 

The turbulent scahng factors in Table 3.3 suggest that scaling a tubular reactor with constant heat transfer per unit volume and unit throughput at constant t is possible even with the further restriction that the temperature driving force be the same in the large and small units. Find the various scahng factors for this form of scaleup for turbulent hquids and apply them to the pilot reactor in Example 5.10. 

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