Carreau model Appendix

Evaluation of GNF Fluid Constants from Viscometric Data Using the flow curve of Chevron/Philips 1409 MI = 50 LDPE in Appendix A, calculate the parameters of the Power Law, Cross and Carreau models. 

Data appeared in Appendix A of First Edition. Power Law model Carreau model ... 

C.5 Velocity Profile for Flow in a Capillary. Although the Carreau model describes the viscosity behavior of polymer melts accurately, it is not possible to obtain analytical expressions for the velocity field for one-dimensional flows such as occur in a capillary. Obtain the velocity field for HOPE at 180 °C. (Use the Carreau model parameters in Table 2.2 by using the IMSL subroutine BVPFD, which is described in Appendix D.9 or BVP4C in MATLAB.)... 

There are numerous other GNF models, such as the Casson model (used in food rheology), the Ellis, the Powell-Eyring model, and the Reiner-Pillippoff model. These are reviewed in the literature. In Appendix A we list the parameters of the Power Law, the Carreau, and the Cross constitutive equations for common polymers evaluated using oscillatory and capillary flow viscometry. 

C.1 Carreau-Yasuda Model Parameters from Regression Analysis. Use either Solve in Excel or the IMSL subroutine RNLIN (Example 2.1) to find the Carreau-Yasuda model parameters [Eq. 2.8 with (n — l)/2 replaced with (n - )/a] for LLDPE at 170 °C (viscosity data are given in Appendix A.3) and compare the results with those given in Table 2.1. 

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