1.  (20 points)   Create a table with the predictions for the material functions listed below for all the constitutive equations listed below.  There is no need to derive the results if you can find them in the book or in our homeworks; please note the existance of Appendix D on p489.  (Note:  if you have problems locating any of the results, please come see me or send an email.)

Material Functions

viscosity, first normal stress coefficient, and second normal stress coefficient in steady shear

start up of steady shear material functions (eta minus, psi_1^minus, and psi_2^minus)

steady uniaxial elongational viscosity (eta bar)

start up of steady uniaxial elongational flow material function (etabar_+)

Constitutive equations

Newtonian

Power Law Generalized Newtonian

Generalized Linear Viscoelastic Model

Lodge Model

2.  (20 points) Problem 9.16 (Calculate start-up of steady shearing material functions for Lodge model; we did this in class but we left out some details).
3.  (20 points) To use the Lodge Model for a flow, we need to evaluate gamma in Table 9.3 (page 329).  Evaluate gamma for cessation of steady shearing.  The definition of  gamma(t',t) is given in the footnote of that table.
4.  (20 points) Problem 10.14 (Calculate true viscosity for given capillary data) Here are the data so you do not have to type them into Excel.
5.  (20 points) Problem 10.22 (Calculations with cone and plate)