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Interface Stability Analysis of a Gel Material Surrounded by Air

Published online by Cambridge University Press:  24 February 2015

Carlos A. Garavito Garzon ,
M. Carme. Calderer  and
Satish Kumar
Carlos A. Garavito Garzon
Affiliation:
School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN 55455, USA.
M. Carme. Calderer
Affiliation:
School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN 55455, USA.
Satish Kumar
Affiliation:
Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
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Abstract

We study the stability of small amplitude harmonic perturbation at the interface of a gel material surrounded by air. The equations describing the system's dynamics are solved using classical perturbation methods. Assuming that the amplitude decays over time, we establish conditions for the system to return to its equilibrium state. The proposed model includes the effect of the boundary conditions and can be extended to more general situation in which the material is surrounded by an arbitrary fluid.

Keywords

sol-gelpolymerfluid
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1753: Symposium NN – Mathematical and Computational Aspects of Materials Science , 2015 , mrsf14-1753-nn06-06
Copyright
Copyright © Materials Research Society 2015 

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