che361_hw10 - Homework #10 ChE 361 Spring 2010 Consider the...

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Unformatted text preview: Homework #10 ChE 361 Spring 2010 Consider the production of an ethylene-propylene-diene (EPDM) polymer in an isothermal CSTR. The reactor has 7 adjustable inputs x 1 ...x 7 denoting the residence time, ethylene monomer feed concentration, propylene monomer feed concentration, diene monomer feed concentration, catalyst feed concentration, hydrogen feed concentration, and co-catalyst feed concentration, re- spectively. All inputs have been normalized to unity with their nominal value and are therefore non-dimensional. The 4 measured outputs y 1 ...y 4 represent the number average molecular weight (kg/mol), the polymer ethylene fraction (%), the polymer diene fraction (%), and the polymer production rate (kg/L/h), respectively. A Matlab function cstrdesign is provided along with supporting files cstrsys and cstrsf to implement experimental designs on the polymerization system. The cstrdesign function has the following usage: [X,Y]=cstrdesign(D) [X,Y]=cstrdesign(D,ncp) [X,Y]=cstrdesign(ncp) where X is a n 7 matrix of inputs with each row corresponding to a single run, Y is a n 4 matrix of outputs with each row corresponding to a single run, D is a m 7 experimental design matrix, and ncp is the number of center points to augment the design matrix ( n = m + ncp ). Since a center point (all zeros) corresponds to a run with all inputs at their nominal value (one), specification of ncp alone allows a number of repeated experiments to be run with the nominal inputs. The cstrdesign function expects a design matrix D with values between- 1 and 1 and scales the CSTR inputs X from 0 . 75 to 1 . 25 ( 25%) such that a zero in the design matrix D corresponds to a nominal input value of 1....
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che361_hw10 - Homework #10 ChE 361 Spring 2010 Consider the...

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