A finite element based algorithm for determining interfacial tension (γ) from pendant drop profiles

Dingle, Nicole M.; Tjiptowidjojo, Kristianto; Basaran, Osman A.; Harris, Michael T.

doi:10.1016/j.jcis.2005.01.052

Cited by 28 publications

(26 citation statements)

References 19 publications

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“…Therefore, the bias usually observed for objective functions that are not based on the normal distance between an experimental data point and the theoretical curve is eliminated. This has been confirmed in [26].…”

Section: Parameter Estimationsupporting

confidence: 58%

“…The aluminum temperature chamber was designed and manufactured at Purdue University (Purdue Central Machine Shop). The chamber is also used to obtain pendant drop images for surface or interfacial tension measurements that were discussed in a previous paper [26]. In the current configuration, a 0.025 cm o.d.…”

Section: Pendant and Sessile Drop Apparatusmentioning

confidence: 99%

“…The γ -PD-FEM has been discussed earlier [26] and is based on a fixed contact line boundary condition. PSDA-FEM solves the Young-Laplace equation with a fixed contact angle boundary condition, or application of Young's equation for the surface energetics shown in Eq.…”

Section: Parameter Estimationmentioning

confidence: 99%

“…A detailed overview of a novel algorithm γ -PD-FEM which utilizes a Galerkin/finite-element-based derivation in the spherical coordinate form of the Y-L equation to determine γ from pendant drop profiles has been accepted for publication by Dingle et al [26]. The Y-L equation is a second-order differential equation; therefore, two boundary conditions are required to obtain the theoretical drop profile.…”

Section: Introductionmentioning

confidence: 99%

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A robust algorithm for the simultaneous parameter estimation of interfacial tension and contact angle from sessile drop profiles

Dingle¹,

Harris²

2005

Journal of Colloid and Interface Science

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Section: Parameter Estimationsupporting

confidence: 58%

Section: Pendant and Sessile Drop Apparatusmentioning

confidence: 99%

Section: Parameter Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A robust algorithm for the simultaneous parameter estimation of interfacial tension and contact angle from sessile drop profiles

Dingle¹,

Harris²

2005

Journal of Colloid and Interface Science

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“…Measurements of dynamic surface tension have been made by the pendant-drop method in many cases, and various factors affecting the dada by this method has been examined; change of the temperature and mass concentration in water solutions, 9) change of the drop shape, 10,11) influence of the adsorption and diffusion in a drop, 12,13) film balance of a new Langmuir-type, 14) stress relaxation behaviour on the surface, 15) formation of shear-thinning and yield stress in fluids. 16) However investigation on the viewpoint of dynamics has not been conducted thoroughly.…”

Section: Calculation Of the Dynamic Surface Tensionmentioning

confidence: 99%

Measurement of Dynamic Surface Tension of Surfactant Solutions

Karasawa

Hasegawa

Narumi

2007

J. Soc. Rheol., Jpn

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Surface-active agents (surfactants) have been used in washing, printing, and medical science to improve efficiency in processing but often cause complicated problems that remain unresolved. As these problems have marked effects on the quality of the final product, basic research to determine solutions is necessary. We observed liquids dripping out of an aperture at relatively low Reynolds numbers using a CCD camera, measured mass and velocity of falling drops, and estimated the dynamic surface tension. Several aqueous solutions of surfactants were used: polyoxyethylene (10) lauryl ether, polyoxyethylene (100) stearyl ether, etc. The momentum equation applied to the falling drop was simplified and an equation was obtained for measuring the dynamic surface tension. It was shown that this equation is useful and dynamic surface tensions were measured for several kinds of aqueous surfactant solutions. The dynamic surface tension was found to depend on the molecular weight of the hydrophilic group and the normalized dynamic surface tension is correlated with the parameter (surface age)×(molecular weight of the hydrophilic group).

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Surface Tension and Adsorption Studies by Drop Profile Analysis Tensiometry

Kairaliyeva

Aksenenko

Mucic

et al. 2017

J Surfact & Detergents

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Surface tension and dilational viscoelasticity of solutions of various surfactants measured with bubble and drop profile analysis tensiometry are discussed. The study also includes experiments on the co-adsorption of surfactant molecules from a solution drop and alkane molecules from saturated alkane vapor phase. Using experimental data for 12 surfactants with different surface activities, it is shown that depletion due to adsorption of surfactant from the drop bulk can be significant. An algorithm is proposed quantitatively to take into consideration the depletion effect which is required for a correct description of the co-adsorption of alkanes on the solution drop surface and the correct analysis of experimental dynamic surface tension data to determine the adsorption mechanism. Bubble and drop profile analysis tensiometry is also the method of choice for measuring the dilational viscoelasticity of the adsorbed interfacial layer. The same elasticity moduli are obtained with the bubble and drop method only when the equilibrium surface pressures are sufficiently small (Π < 15 mN m−1). When the surface pressure for a surfactant solution is larger than this value, the viscoelasticity moduli determined from drop profile experiments become significantly larger than those obtained from bubble profile measurements.

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A finite element based algorithm for determining interfacial tension (γ) from pendant drop profiles

Cited by 28 publications

References 19 publications

A robust algorithm for the simultaneous parameter estimation of interfacial tension and contact angle from sessile drop profiles

A robust algorithm for the simultaneous parameter estimation of interfacial tension and contact angle from sessile drop profiles

Measurement of Dynamic Surface Tension of Surfactant Solutions

Surface Tension and Adsorption Studies by Drop Profile Analysis Tensiometry

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