Simulation analysis of effect of ionic strength on physiochemical and mechanical characteristics of glucose-sensitive hydrogels

Luo, Rongmo; Li, Hua

doi:10.1016/j.jelechem.2009.08.009

Cited by 6 publications

(3 citation statements)

References 58 publications

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“…The total area of the expanded hydrogel is computed by cumulatively adding all the values of A. The new H is computed by equation (30), which is used during the next iteration of PNP equations.…”

Section: Implementation Of the Rdq Methods For The 2d Simulation Of P...mentioning

confidence: 99%

Influence of Young's modulus and geometrical shapes on the 2D simulation of pH-sensitive hydrogels by the meshless random differential quadrature method

Mulay¹,

Li²

2011

Modelling Simul. Mater. Sci. Eng.

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In this paper, 2D simulation of a pH-sensitive hydrogel is performed by a novel strong-form meshless method called the random differential quadrature (RDQ) method. So far the simulations of pH-responsive hydrogels have been performed over 1D hydrogel domains by simplification, where the hydrogel is allowed to deform in one direction only with a constant axis-symmetric cross-section. However, for an irregular cross-section, in which the hydrogel swells unevenly in different directions, it truly becomes the 2D problem. The RDQ method is a novel meshless technique based on the fixed reproducing kernel particle method and the differential quadrature method.The diffusion of mobile ionic species between the hydrogel and solution is simulated by the system of the Poisson–Nernst–Planck equations, and the hydrogel swelling is captured by mechanical equilibrium equations. The analytical expressions of displacements in the x and y directions are derived for a constant osmotic pressure at field nodes located along the interface between the hydrogel and solution domains. The numerical values of the displacements are verified with the corresponding analytical values obtained from the derived expressions for a hydrogel with square geometry. It is shown from the simulation results that the RDQ method is capable of capturing the jumps in the values of field variables across the interface between the multiple domains. The hydrogel swelling is studied by changing Young's modulus and the geometrical shape, and the simulation results are found qualitatively in good agreement with the physics of the problem.

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Section: Implementation Of the Rdq Methods For The 2d Simulation Of P...mentioning

confidence: 99%

Influence of Young's modulus and geometrical shapes on the 2D simulation of pH-sensitive hydrogels by the meshless random differential quadrature method

Mulay¹,

Li²

2011

Modelling Simul. Mater. Sci. Eng.

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“…Let the residual equation R 1 , as given in Eq. (24), be discretized at the ith virtual node, then Eq. (24) is modified as,…”

Section: Discretization Of Pnp Equations and The Formulation Of Jacobmentioning

confidence: 99%

“…They also conducted the 1D transient analysis of hydrogels subjected to external electric field. Luo et al [24][25][26] studied the responsive behaviour of 1D hydrogel due to the effect of external electric stimulus, solution ionic strength and pH. They also developed the PNP and mechanical equilibrium equations in Lagrangian coordinates, and compared the results with the same set of equations in Eulerian coordinates.…”

Section: Introductionmentioning

confidence: 99%

2D simulation of the deformation of pH-sensitive hydrogel by novel strong-form meshless random differential quadrature method

Mulay

2011

Comput Mech

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The objective of presented work is to simulate the response of 2D hydrogel when subjected to the varying pH of buffer solution and initial fixed-charge concentration inside the hydrogel. The novelty of the work is that this is the first attempt to perform the 2D simulation of pHresponsive hydrogel by novel strong-form meshless method, such as random differential quadrature (RDQ) method. The analytical equations, derived for the hydrogel deformation in the x and y directions, are numerically verified by the square shaped hydrogel disc. The jumps in the distributions of ionic concentrations and electrical potential, across the interface between solution and hydrogel, are effectively captured by the RDQ method. A novel approach is proposed to correctly impose natural boundary conditions for non-uniform boundary. The effects of solution pH and initial fixed-charge concentration on the hydrogel swelling are also successfully investigated.Keywords Random differential quadrature methods · 2D simulation of hydrogel · Meshless method · Differential quadrature method

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Dye adsorption by resins: Effect of ionic strength on hydrophobic and electrostatic interactions

Guo

et al. 2013

Chemical Engineering Journal

306

118

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Simulation analysis of effect of ionic strength on physiochemical and mechanical characteristics of glucose-sensitive hydrogels

Cited by 6 publications

References 58 publications

Influence of Young's modulus and geometrical shapes on the 2D simulation of pH-sensitive hydrogels by the meshless random differential quadrature method

Influence of Young's modulus and geometrical shapes on the 2D simulation of pH-sensitive hydrogels by the meshless random differential quadrature method

2D simulation of the deformation of pH-sensitive hydrogel by novel strong-form meshless random differential quadrature method

Dye adsorption by resins: Effect of ionic strength on hydrophobic and electrostatic interactions

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