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Unformatted text preview: Homework #10 ChE 361 Spring 2010 Consider the production of an ethylenepropylenediene (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 cocatalyst feed concentration, re spectively. All inputs have been normalized to unity with their nominal value and are therefore nondimensional. 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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 Spring '09
 Polymer

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