CHEN3010 Lecture Notes - Lecture 15: Cumulative Distribution Function, Batch Reactor, Skewness

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Chemical Reaction Engineering
Fogler Chapter 16
Distributions of Residence Times for Chemical
Reactors
Semester 1-2018
Gia Hung Pham
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Introduction
Flow reactor
In order to simplify the calculation of the final conversion and product concentration at the
reactor outlet of a CSTR, PFR and PBR we made some assumptions.
For example: CSTR
- Reactants concentration in the reactor is the same
- All the molecules leaving the reactor have spent the same amount of time within the
reactor.
VR
v
v
v
VR
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PBR
Space time
All the molecules leaving the reactor have spent the same amount of time
within the reactor.
Our assumptions are valid only for ideal CSTR and PBR.
Unfortunately, most of full scale CSTR and PBR are not ideal reactor.
VR
v v
v
VR
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Document Summary

In order to simplify the calculation of the final conversion and product concentration at the reactor outlet of a cstr, pfr and pbr we made some assumptions. Reactants concentration in the reactor is the same. All the molecules leaving the reactor have spent the same amount of time within the reactor. Our assumptions are valid only for ideal cstr and pbr. Unfortunately, most of full scale cstr and pbr are not ideal reactor. These effects are different from one reactor to the other. How long different molecules have been in the reactor t [min] Rtd is very important for reactor design as it affects reactor performance. There are three common experiments for rtd determination : pulse tracer input, step tracer input, positive-step tracer input, negative-step tracer input, periodic input, random input. Sele(cid:272)t a s(cid:373)all t (cid:894)i(cid:374)(cid:272)re(cid:373)e(cid:374)t of ti(cid:373)e(cid:895) so that c(cid:894)t(cid:895) (cid:271)et(cid:449)ee(cid:374) t a(cid:374)d t+ t is the same.

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