Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-19T04:22:47.893Z Has data issue: false hasContentIssue false

Modeling the Chemo-mechanical Behavior of Reactive Polymer Gels

Published online by Cambridge University Press:  01 February 2011

Victor V. Yashin
Affiliation:
[email protected], University of Pittsburgh, Chemical and Petroleum Engineering, 1249 Benedum Hall, Pittsburgh, PA, 15261, United States, (412) 624-4888, (412) 624-9639
Anna C. Balazs
Affiliation:
[email protected], University of Pittsburgh, Department of Chemical and Petroleum Engineering
Get access

Abstract

We consider a theoretical model of a reactive polymer gel in which the reaction can proceed in an oscillatory regime and generate traveling chemical waves accompanied by waves of local swelling-deswelling. This type of gel could be used for fabricating chemo-mechanical devices with self-sustained rhythmic action, and gel-based pumps. We assume that the Belousov-Zhabotinsky (BZ) reaction takes place in the reactive gel. The BZ reaction generates periodic reduction-oxidation (redox) changes of a metal catalyst covalently bonded to a hydrogel that is immersed in a solution containing the rest of the BZ reagents. The redox changes in the metal affect the polymer-solvent interactions, resulting in variations in the gel volume. The self-oscillation of the gel volume, and the traveling waves of local swelling in a hydrogel with the BZ reaction have been experimentally observed by Yoshida and co-workers. To describe the system theoretically, we employ the Oregonator model of the BZ reaction, and the two-fluid model of gel dynamics. Propagation of one-dimensional wave trains through the reactive gel is simulated. The structure of the traveling swelling-deswelling waves is studied.

Type
Research Article
Copyright
Copyright © Materials Research Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Doi, M., Matsumoto, M., and Hirose, Y., Macromolecules, 25, 5504 (1992).Google Scholar
2. Shibayama, M. and Tanaka, T., Adv. Polym. Sci., 109, 1 (1993).Google Scholar
3. De, S.K., Aluru, N.R., Johnson, B., Crone, W.C., Beebe, D.J., and Moore, J., J. Microelectromech. Syst., 11, 544 (2002).Google Scholar
4. Yamaue, T., Mukai, H., Asaka, K., and Doi, M., Macromolecules, 38, 1349 (2005).Google Scholar
5. Yoshida, R., Takahashi, T., Yamaguchi, T., and Ichijo, H., J. Am. Chem. Soc., 118, 5134 (1996).Google Scholar
6. Yoshida, R. in Reflexive polymers and hydrogels: understanding and designing fast responsive polymeric systems edited by Yui, N., Mrsny, R., and Park, K. (CRC Press, Boca Raton, FL, 2004), p. 143164;Google Scholar
Yoshida, R., Sakai, T., Ito, S., and Yamaguchi, T. in Nonlinear dynamics in polymeric systems edited by Pojman, J.A. and Tran-Cong-Miyata, Q. (ACS Symposium Series: 869, 2004), pp 3043.Google Scholar
7. Miyakawa, K., Sakamoto, F., Yoshida, R., Kokufuta, E., and Yamaguchi, T., Phys. Rev. E, 62, 793 (2000).Google Scholar
8. Sakai, T. and Yoshida, R., Langmuir, 20, 1036 (2004).Google Scholar
9. Dhanarajan, A.P., Urban, J., and Siegel, R.A. in Nonlinear dynamics in polymeric systems edited by Pojman, J.A. and Tran-Cong-Miyata, Q. (ACS Symposium Series: 869, 2004) pp. 4457;Google Scholar
Borckmans, P., Benyaich, K., De Wit, A., and Dewel, G., Nonlinear dynamics in polymeric systems edited by Pojman, J.A. and Tran-Cong-Miyata, Q. (ACS Symposium Series: 869, 2004), pp. 5870.Google Scholar
10. Scott, S.K., Oscillations, waves, and chaos in chemical kinetics (Oxford University Press, New York, 1994).Google Scholar
11. Tyson, J.J. and Fife, P.C., J. Chem. Phys., 73, 2224 (1980).Google Scholar
12. Hirotsu, S., J. Chem. Phys., 94, 3949 (1991).Google Scholar
13. Sasaki, S., Koga, S., Yoshida, R., and Yamaguchi, T., Langmuir, 19, 5595 (2003).Google Scholar
14. Hill, T.L., An introduction to statistical thermodynamics (Addison-Wesley, Reading, MA, 1960).Google Scholar
15. Sasaki, S., Koga, S., Yoshida, R., and Yamaguchi, T., Langmuir, 19, 5595 (2003).Google Scholar
16. Amemiya, T., Ohmori, T., and Yamaguchi, T., J. Phys. Chem. A, 104, 336 (2000).Google Scholar
17. Onuki, A., Adv. Polym. Sci., 109, 63 (1993);Google Scholar
Yamaue, T. and Doi, M., Phys. Rev. E, 69, 041402 (2004).Google Scholar