In this paper, we present the meshless Finite Cloud Method (FCM) for the solution of a time-dependent partial differential equation governing ionic gel swelling. Using a point distribution, FCM constructs interpolation functions without assuming any connectivity between points. A collocation approach forces the unknowns at every point to satisfy the governing equation or boundary condition. To validate the model, a cylindrical hydrogel was fabricated and subjected to step changes in solution pH to characterize the hydrogel’s dynamic behavior. The hydrogel’s equilibrium behavior was matched using a thermodynamic model. Numerical results show good agreement with experimental data.
Journal: TechConnect Briefs
Volume: 1, Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems
Published: March 19, 2001
Pages: 7 - 10
Industry sector: Sensors, MEMS, Electronics
Topics: Modeling & Simulation of Microsystems