For a laminar flow reactor

The hnal step in the design calculations for a laminar flow reactor is determination of mixing-cup averages based on Equation (8.4). The trapezoidal rule is recommended for this numerical integration because it is easy to implement and because it converges O(Ar ) in keeping with the rest of the calculations. 

The exit age distribution function E(t) for a laminar flow reactor is... 

Before proceeding to show how the RTD can be used to estimate conversion in a reactor, we shall derive E t) for a laminar flow reactor. For laminar flow in a tubular reactor, the velocity profile is parabolic, with the fluid in the center of the tube spending the shortest time in the reactor. A schematic diagram of the fluid movement after a time t is shown in Figure 13-9. The figure at the left shows how far down the reactor each concentric fluid element has traveled after a time t. 

Reconsider the system in Prob. 6-7, with all conditions the same, except that volumes of different reactors required to obtain the same conversions (for the same flow rate) will be compared. Calculate the ratio of the volumes required for a laminar-flow reactor and a plug-flov/ reactor for several conversion levels between 0 and 100%. Do the results depend on the feed concentrations and the rate constant ... 

Using the residence-time distribution function for a laminar-flow reactor, compare the yield of B in n Type III reaction with that obtained in a PFR of the same average residence time. There is no B or C in the feed, and k = Ikj with kji = 1. 

This equation is a general equation for the calculation of conversion in any segregated flow reactor. For a laminar flow reactor, that is modelled as a segregated flow reactor, we get an equation for XAfhy substituting Equations 3.369 and 3.365 in 3.370 ... 

The tracer response curve for a laminar flow reactor will resemble the one shown below. 

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