Heat Effects 2 -- Effect of Parameter Variation on a PFR
Concepts  Effect of parameter variations on operation of a nonisothermal plug flow reactor
Time 61 minutes ± 36 minutes
Reference Fogler: Chapter 8
 
Description
This simulation allows the student to explore the effects of various parameters on the performance of a non-isothermal plug flow reactor.  The student may choose from eight simulations that span all combinations of exothermic/endothermic reactions and reversible/irreversible reactions, as well as a simulation that takes pressure drop into account.  The variable parameters include the heat transfer coefficient, the inlet reactant flowrate, the diluent flowrate, the inlet temperature, and the ambient temperature: 

 

The results of the simulator may be analyzed in the form of plots of concentration, conversion, or temperature as a function of reactor volume.  The module may also be run in an interactive mode, in which the student must achieve specific goals (e.g. achieve a given conversion without exceeding a given temperature within the reactor), in order to get to the center of the reactor complex. 
The review section includes a derivation of the energy balance equation for a PFR: 
 
 

 
Grade Base In the interactive mode, mastery is based on the correct solution of two consecutive problems (e.g.:  arriving at the center of the reactor complex). 
Comments We have used the simulator portion of this module as a tool in a group problem solving exercise.  Students had to vary various parameters and explain their observations, then use the newly gained insight to optimize a system.  A sample assignment, for System 2 in the �individual problems� menu, follows.  Since the assignment was to be completed within a one hour class period, explicit instructions and suggestions for parameter values were given. 
Sample Assignment
You are to investigate how some important reactor parameters affect the conversion and the temperature profiles down a tubular reactor.  You will be told which parameter to vary, then asked to explain the results you observe.

In each case, in addition to a general statement ("increase UA"), you will be given a set of optional reactor conditions to use, in the order in which they appear in the left-hand side of the simulation screen:  (UA, Ta, Fio, Fao, To).  You may use these conditions if you wish, or pick your own for your investigation.

 GETTING STARTED

Choose "5. individual problems" from the main menu , then choose problem 2.  �Endothermic irreversible."  Once the F-key bar at the bottom shows up, you may want to hit "F2" for a short description of each of the components of the simulator.

Things to keep in mind, once you are running the simulator:
� To change the step size in varying the parameters:  1(smallest step size) 10 (largest one)
� To delete a run so its curve doesn't show up on the grap, -select it and hit backspace.
� Not sure what keys to hit  -Press I for Information.

EFFECTS OF HEAT EXCHANGE

To analyze the effect of the heat exchanger on the reaction, compare the conversion and the temperature profiles with and without heat exchange:

Set the y-axis to temperature - Choose temperature with the arrow keys. 
Select your first run - Hit <Enter> until the yellow selector box is around the UA box

Perform a run with UA equal to 0 
(e.g., UA=0, Ta=300, Fio=10, Fao=10, To=300)

How does the temperature change with volume down the reactor with no heat exchange for an endothermic irreversible reaction?

Select a second run - Use the arrows to select the blue run.

Perform a new run with a higher UA 
(e.g. UA=250, Ta=300, Fio=10, Fao=10, To=300)

How does the temperature change down the reactor with heat exchange for an endothermic irreversible reaction?  

Set the y-axis to conversion - Press "A" for axes
How do the conversion profiles for the cases with and without heat exchange compare?

EFFECTS OF FLOW PARAMETERS

Perform a new run with no inerts.
(e.g. UA=250, Ta=300, Fio=0, Fao=10, To=300)
Now perform a run with a higher reactant rate. 
(e.g. UA=250, Ta=300, Fio=0, Fao=20, To=300)

How does the presence of inerts affect the results from the previous question?
Perform a run with inerts
(e.g. UA=250, Ta=300, Fio=10, Fao=20, To=300).
Compare the temperature profiles for the above three cases.

APPLICATION 

Given your new-found intuition, try to get the highest conversion given the limitation that the reactor temperature (at ALL positions within the reactor), must be between 250-300 K.  An easily achieved value is 0.50.  The highest conversion found so far is 0.711. Turn in the conditions you used (UA,Ta,Fio, Fao,To) as well as the conversion obtained, and a few sentences explaining what you learned. 

SUMMARY

Write a paragraph (1/2 to 1 page) describing the effects of heat exchange on the reaction and the effects of changes in the reactant flowrate and the inert flowrate on conversion and temperature profiles for the tubular reactor.  Include sketches illustrating the trends and the equations necessary to predict the results.  Based on these results can you predict what would happen in an exothermic, irreversible reaction?  How about reversible reactions?  

Installation  Instructions for installing and using the ICMs are available.

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