Numerical simulation of the steady-state deformation of a smart hydrogel under an external electric field

Zhou, Xu; Hon, Y.C.; Sun, Shengwei; Mak, Arthur F.T.

doi:10.1088/0964-1726/11/3/316

Cited by 74 publications

(70 citation statements)

References 35 publications

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“…[62] Multiphasic Mixture Theory Multiphasic mixture theory proposes that hydrogel volume transition is driven by the gradient of the chemical/electrochemical potentials, which is balanced by the frictional forces between the phases as one phase flows through the other. [63] The hydrogel is divided into three phases, which are solid phase (denoted by s), water phase (denoted by w) and ion phase containing both anion (denoted by À) and cation (denoted by þ). It is assumed that these three phases are intrinsically incompressible, whereas the hydrogel as a whole is compressible through exudation of water.…”

Section: Elastic Parametersmentioning

confidence: 99%

Modeling Investigation of Hydrogel Volume Transition

Chen

et al. 2004

Macro Theory & Simulations

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Summary: This paper provides an overview of the latest development in modeling and simulation of volume transition behaviors of hydrogels with models at both macroscopic and molecular levels. Energy conservation law, mass conservation law and momentum conservation law provide good starting points for developing models for hydrogel volume transition. Thermodynamic models, transport models, multiphasic mixture theory and molecular simulation are discussed. Thermodynamic models provide qualitative description of equilibrium volume transition of hydrogels. Both transport models and multiphasic mixture theory can predict transient and equilibrium volume transition of hydrogels. Molecular simulation provides mechanistic understanding of hydrogel volume transition. Several key parameters are summarized for future model development.

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Section: Elastic Parametersmentioning

confidence: 99%

Modeling Investigation of Hydrogel Volume Transition

Chen

et al. 2004

Macro Theory & Simulations

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“…The dynamics of polyelectrolyte gels has also received a great deal of attention, and systems of evolution equations have been proposed by many authors [18,16,19,31,34,49,48,52,32,9,1,23]. A standard approach, which we adopt in this paper, is to treat polyelectrolyte gels as a two phase medium of polymer network and fluid, with the ions being treated as solute species dissolved in the fluid.…”

mentioning

confidence: 99%

A Dynamic Model of Polyelectrolyte Gels

Mori¹,

Chen

Micek³

et al. 2013

SIAM J. Appl. Math.

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Abstract. We derive a model of the coupled mechanical and electrochemical effects of polyelectrolyte gels. We assume that the gel, which is immersed in a fluid domain, is an immiscible and incompressible mixture of a solid polymeric component and the fluid. As the gel swells and de-swells, the gel-fluid interface can move. Our model consists of a system of partial differential equations for mass and linear momentum balance of the polymer and fluid components of the gel, the NavierStokes equations in the surrounding fluid domain, and the Poisson-Nernst-Planck equations for the ionic concentrations on the whole domain. These are supplemented by a novel and general class of boundary conditions expressing mass and linear momentum balance across the moving gel-fluid interface. Our boundary conditions include the permeability boundary conditions proposed in earlier studies. A salient feature of our model is that it satisfies a free energy dissipation identity, in accordance with the second law of thermodynamics. We also show, using boundary layer analysis, that the well-established Donnan condition for equilibrium arises naturally as a consequence of taking the electroneutral limit in our model.

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“…Accordingly, Neubrand [15] and Grimshaw et al [16] developed electro-chemical model and electro-mechanical model for ion-exchange membrane and gel, respectively. Recently, Wallmerperger et al [17] and Zhou et al [18] made further studies of electric-sensitive hydrogel membranes.…”

Section: Introductionmentioning

confidence: 99%

“…Numerical simulation for a steady-state case is conducted to investigate the hydrogel membrane deformation and compared with experimental data [18,30]. The parameters used are …”

mentioning

confidence: 99%

Modeling Development and Numerical Simulation of Transient Nonlinear Behaviors of Electric sensitive Hydrogel Membrane under an External Electric Field

Yuan¹,

Li²

2013

J Biochip Tissue chip

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A multi-physics model is developed to predict the transient nonlinear behavior of electric-sensitive hydrogel membrane, based on a multi-phasic mixture theory. In the developed model involving chemo-electro-mechanics, the transient convection-diffusion equations for ionic concentrations incorporate the migration and diffusion terms; the Poisson equation is employed to compute the distribution of electric potential directly, and the transient hydrogel deformation is implemented easily by the continuity and momentum equations. To solve the present mathematical model consisting of transient nonlinear partial differential governing equations, a true meshfree, implicit numerical scheme is conducted for solution of convection-diffusion problem and hydrogel deformation, iteratively. Unlike the mesh-based methods, the employed meshless Hermite Cloud Method (HCM) uses a fixed reproducing kernel approximation for construction of the interpolation functions, and employs the point collocation technique for discretization of partial differential boundary values and initial value problems. The transient responds of electric-sensitive hydrogels, including the membrane deformation, ionic concentrations and electric potentials, interior and exterior the membranes are numerically simulated, and the parameters having important influence on the transient hydrogel deformation are also investigated. Citation: Yuan Z, Li H (2013) Modeling Development and Numerical Simulation of Transient Nonlinear Behaviors of Electric-sensitive HydrogelMembrane under an External Electric Field. J Biochips Tiss Chips 3: 103.

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Numerical simulation of the steady-state deformation of a smart hydrogel under an external electric field

Cited by 74 publications

References 35 publications

Modeling Investigation of Hydrogel Volume Transition

Modeling Investigation of Hydrogel Volume Transition

A Dynamic Model of Polyelectrolyte Gels

Modeling Development and Numerical Simulation of Transient Nonlinear Behaviors of Electric sensitive Hydrogel Membrane under an External Electric Field

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