CM4650 Polymer Rheology
partial solution
1. (20 points) 8.15 (Cessation of GLVE)
2. (20 points) 8.22 (Given LVE spectrum, calculate material
functions)
3. (20 points) For the generalized Maxwell model parameters given in
problem 8.22, calculate the cessation of steady shearing function h-(t)
(eta minus) and plot log h-(t)
(eta minus) versus log(t)
using a computer
program. Does this prediction resemble usual polymer behavior for
this flow?
4. (20 points) 8.34 (Calculate G', G" Rouse model)
5. (20 points) In lecture
29 there is a plot on page 4 of Einaga's polystyrene solution data
of G(t) in step strain. Estimate the longest relaxation time from
this plot and explain how you made this estimate. In lecture
30 we showed a fit of the generalized Maxwell model to these same
data. What was the longest relaxation time calculated from that
fit? Which number would you used if asked to estimate the longest
relaxation time of your material? When might you need to know the
longest relaxation time of your material?
6. (20 points) Compare and contrast the Generalized Newtonian
fluid models
of Chapter 7 and the Generalized Linear Viscoelastic models of Chapter
8. When are each useful? List three material behaviors (as
discussed in Chapter 6) that are correctly captured by these models and
list three material behaviors that are not correctly captured by
these models.