By Arthur S. Lodge, Michael Renardy, John A. Nohel

ISBN-10: 0124549403

ISBN-13: 9780124549401

**Read or Download Viscoelasticity and Rheology. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 16–18, 1984 PDF**

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**Extra info for Viscoelasticity and Rheology. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 16–18, 1984**

**Example text**

Could the results of acceleration wave experi- viscoelastic In the procedure described was determined theory equi- can be measured for various amplitudes of this data to v~ - 0 should yield the a · Then Gf(0) can be calculated from c o this approach is satisfactory in principle, critical amplitude r (26). Although the limited number of experimentally accelerations (v) value obtained from an extrapolation somewhat determined particle and their range of uncertainty make the questionable. to zero particle velocity E.

63) = 0 . 4 7 m m / y s e c . 46mm/usec with this value. is in good agreement It is worth noting is from we level of from Fig. 13 that, at these levels of initial acceleration, the predicted t M for PMMA is close to that for a nonlinear solid with the same tangent and order moduli, E and E · materials Of course, for elastic second- there is no critical acceleration, nevertheless, an acceleration wave whose initial amplitude greater is an order of magnitude than the critical acceleration will propagate in a nonlinear polymeric were elastic.

This antithixotropy and shear thickening can be broken down by continuous shearing. Notwithstanding these anomalies, we still find it convenient to define two simple non-dimensional numbers, R and W, to characterize the Boger-fluid flows. 2) where λ is a characteristic time defined from the (secondorder) viscometric data through v± = 2η0λς2 . 3) A further important feature of Boger fluids is their substantial resistance to stretching flows as manifested through the very high values of the extensional viscosity η .

### Viscoelasticity and Rheology. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 16–18, 1984 by Arthur S. Lodge, Michael Renardy, John A. Nohel

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