28.02.2013 Views

Handbook of Solvents - George Wypych - ChemTech - Ventech!

Handbook of Solvents - George Wypych - ChemTech - Ventech!

Handbook of Solvents - George Wypych - ChemTech - Ventech!

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

314 E. Ya. Denisyuk, V. V. Tereshatov<br />

Figure 6.1.2. Diffusion kinetics <strong>of</strong> plane layer swelling for diffusion coefficient k(u)=u s at ε = 0.1 and d = 2/9; a, b<br />

are power swelling modes at s=1ands=2.5, respectively; c - exponential swelling mode (s=5); d - blow-up<br />

swelling mode (s = 5.5). Numerals over curves denote correspond to instants <strong>of</strong> time. [Adapted, by permission,<br />

from E. Ya. Denisyuk, V. V. Tereshatov, Vysokomol. soed., A42, 74 (2000)].<br />

Here it is to be noted that strain dependence <strong>of</strong> the diffusion coefficient described by<br />

Eq. [6.1.36] does not initiate new diffusion modes. The obtained three self-similar solutions<br />

hold true. Only critical value sc is variable and is defined by expression sc = (2-p)/d-4. This<br />

fact can be supported by a direct check <strong>of</strong> the solutions.<br />

6.1.4 EXPERIMENTAL STUDY OF ELASTOMER SWELLING KINETICS<br />

The obtained solutions can be applied to experimental study <strong>of</strong> the diffusive and thermodynamic<br />

properties <strong>of</strong> elastomers. In particular, with the relation<br />

s =2/d-4-(1/d-1)/q [6.1.45]

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!