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Solution of final stages of polyethylene terephthalate reactors using orthogonal collocation technique
Author(s) -
Kumar Anil,
Gupta Sushil K.,
Madan Sanjiv,
Shah Nirmal G.,
Gupta Santosh K.
Publication year - 1984
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760240306
Subject(s) - polyethylene terephthalate , orthogonal collocation , materials science , collocation (remote sensing) , condensation polymer , polymerization , redistribution (election) , collocation method , polymer chemistry , chemical engineering , composite material , polymer , mathematics , computer science , mathematical analysis , ordinary differential equation , engineering , machine learning , politics , political science , law , differential equation
The formation of polyethylene terephthalate (PET) has been modeled to have reactions with monofunctional compounds, redistribution, and cyclization reactions in addition to the usual polycondensation step. In the final stages, the overall polymerization is mass‐transfer controlled and solution of the reactor performance equations have been determined through the orthogonal collocation technique. This technique is found to be considerably more efficient for PET reactors compared to the finite difference method; the use of ten collocation points gives results which are close to the exact solution.