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Chapter 12: Steady-State Nonisothermal Reactor Design: Flow Reactors with Heat Exchange
Derivation
The governing equations for a PFR/PBR:
Mole Balance:
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Energy Balance:
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Solutions to these equations give the following typical profiles (in the absence of runaway):
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Figure 5. Temperature and concentration profiles.
At the maximum temperature in the reactor, Tm
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then
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For a first order reaction:
, then
and we can solve for CAm to obtain
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where Tm is the maximum temperature in the reactor and CAm is the corresponding concentration of A at that maximum temperature. For this reactor
.