Inventory scaleup factor

Also assume that the pilot- and full-scale vessels will operate at the same temperature. This means that A(o-out,bout, . )and/i/2 will be the same for the two vessels and that Equation (1.49) will have the same solution for provided that 7 is held constant during scaleup. Scaling with a constant value for the mean residence time is standard practice for reactors. If the scaleup succeeds in maintaining the CSTR-like environment, the large and small reactors will behave identically with respect to the reaction. Constant residence time means that the system inventory, pV, should also scale as S. The inventory scaleup factor is defined as... 

So, in the constant-density case, the inventory scaleup factor is the same as the volumetric scaleup factor. 

Unless explicitly stated otherwise, the throughput and inventory scaleup factors will be identical since this means that the mean residence time will be constant upon scaleup ... 

There is also an inventory scaleup factor defined as mass inventory in full-scale unit... 

When scaling in parallel, the number of tubes scales directly with the inventory scaleup factor, S. Factors for other forms of scaleup for incompressible fluids are given in Table 10.2. This table includes three geometric scaleup factors. They are for volume, S, radius Sr, and length, Sl. They are related by Eq. (4) so that only two are arbitrarily adjustable. 

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 scaleup factor for inventory is the same as that for volume when the density is constant ... 

This book deals with the scaleup of chemical reactors. The product from the scaled-up reactor should be the same as the product from the pilot reactor. The extent of reaction should be the same in the two reactors and thus the mean residence time t should held constant upon scaleup. According to Equation 1.40, inventory and throughput are increased by the same factor when t is held constant. Unless explicitly stated otherwise, it is understood that inventory, volume, and throughput all increase proportionately ... 

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